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Dong, Shihai

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Author ID: dong.shihai Recent zbMATH articles by "Dong, Shihai"
Published as: Dong, S.; Dong, S.-H.; Dong, Shi-Hai; Dong, ShiHai; Dong, Shihai
Documents Indexed: 158 Publications since 1997, including 2 Books
all top 5

Co-Authors

17 single-authored
42 Sun, Guohua
17 Chen, Changyuan
15 Qiang, Wenchao
13 Lozada-Cassou, Marcelo
10 Ma, Zhongqi
10 You, Yuan
9 Dong, Shishan
9 Sun, Dongsheng
8 Dong, Qian
8 Lu, Falin
8 Wei, Gaofeng
5 Draayer, Jerry P.
5 García-Ravelo, Jesús
5 Gu, Xiaoyan
5 Serrano, F. A.
4 Camacho-Nieto, Oscar
4 Falaye, Babatunde James
4 Hou, Xiwen
4 Jing, Jian
4 Popov, Dušan
4 Yu, Jiang
3 Bezerra, Valdir B.
3 Cruz-Irisson, M.
3 Long, Zhengwen
3 Yáñez-Márquez, Cornelio
3 Yañez-Navarro, G.
2 Dytrych, Tomáš
2 Femmam, Smain
2 Gonzalez-Cisneros, A.
2 Lara-Rosano, Filipe
2 Launey, Kristina D.
2 Long, Chao-Yun
2 Mercado Sanchez, M. A.
2 Pan, Feng
2 Tahir, Farida
2 Tang, Yu
2 Torres-Arenas, Ariadna J.
2 Wang, Qing
1 Ahmadov, A. I.
1 Aoki, Manuel Ávila
1 Arjona L, Marco A.
1 Brandon, David
1 Castro López, R.
1 Chen, Wenli
1 Chen, Yisong
1 Child, Mark S.
1 de A. Marques, Geusa
1 Duan, Xiao-Yong
1 Enriquez, F. M.
1 Fang, Qin
1 Gatti, Fabien
1 He, Bing
1 Hernández-Márquez, Eduardo
1 Jiang, Yu
1 Jin, Jian
1 Laurel, Carlos Ortega
1 Lemus, Renato
1 Li, Wei
1 Ma, Yao-Yao
1 Mejía-García, C.
1 Miranda, S. G.
1 Pacheco-García, Christian
1 Peña, J. J.
1 Pop, Nicolina
1 Popov, Miodrag
1 Saad, Nasser
1 Sajfert, Vjekoslav
1 Shi, Yejiao
1 Silva-Ortigoza, Ramón
1 Şimon, Simona
1 Song, Xudong
1 Sun, Jianqiang
1 Taud, Hind
1 Wang, Guoping
1 Wang, Heng
1 Wang, Kang
1 Wang, Xiaogang
1 Wang, Xiaohua
1 Wang, Yue
1 Wu, Jingyang
1 Xie, Mi
1 Xu, Bowei
1 Yue, Weining
1 Zaharie, Ioan
1 Zhang, Aiping
1 Zhang, Lei
1 Zhang, Mincang
1 Zhang, Qiuyue
1 Zhang, Yufei

Publications by Year

Citations contained in zbMATH

122 Publications have been cited 1,023 times in 478 Documents Cited by Year
Factorization method in quantum mechanics. Zbl 1130.81001
Dong, Shi-Hai
64
2007
A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios. Zbl 1277.76118
Dong, S.; Shen, J.
47
2012
Series solutions of the Schrödinger equation with position-dependent mass for the Morse potential. Zbl 1118.81469
Yu, Jiang; Dong, Shi-Hai; Sun, Guo-Hua
30
2004
Analytical approximations to the solutions of the Manning-Rosen potential with centrifugal term. Zbl 1209.81107
Qiang, Wen-Chao; Dong, Shi-Hai
28
2007
Arbitrary \(l\)-state solutions of the rotating Morse potential through the exact quantization rule method. Zbl 1197.81128
Qiang, Wen-Chao; Dong, Shi-Hai
27
2007
On imposing dynamic contact-angle boundary conditions for wall-bounded liquid-gas flows. Zbl 1352.76119
Dong, S.
25
2012
An eigen-based high-order expansion basis for structured spectral elements. Zbl 1352.76087
Zheng, X.; Dong, S.
23
2011
Exact solutions of the two-dimensional Schrödinger equation with certain central potentials. Zbl 0985.81028
Dong, Shi-Hai
23
2000
Exact solutions of the Schrödinger equation with the position-dependent mass for a hard-core potential. Zbl 1136.81353
Dong, Shi-Hai; Lozada-Cassou, M.
21
2005
Exactly complete solutions of the Coulomb potential plus a new ring-shaped potential. Zbl 1123.81343
Chen, Chang-Yuan; Dong, Shi-Hai
21
2005
Direct numerical simulation of turbulent Taylor-Couette flow. Zbl 1141.76411
Dong, S.
20
2007
Exactly solvable potentials for the Schrödinger equation with spatially dependent mass. Zbl 1161.81353
Yu, Jiang; Dong, Shi-Hai
20
2004
Wave equations in higher dimensions. Zbl 1248.81003
Dong, Shi-Hai
18
2011
Approximately analytical solutions of the Manning-Rosen potential with the spin-orbit coupling term and spin symmetry. Zbl 1227.81174
Wei, Gao-Feng; Dong, Shi-Hai
18
2008
An outflow boundary condition and algorithm for incompressible two-phase flows with phase field approach. Zbl 1362.76060
Dong, S.
17
2014
An unconditionally stable rotational velocity-correction scheme for incompressible flows. Zbl 1425.76058
Dong, S.; Shen, J.
17
2010
The scattering of the Manning-Rosen potential with centrifugal term. Zbl 1220.81099
Wei, Gao-Feng; Long, Chao-Yun; Dong, Shi-Hai
17
2008
An efficient algorithm for incompressible \(N\)-phase flows. Zbl 1349.76196
Dong, S.
16
2014
Analytical approximations to the \(l\)-wave solutions of the Schrödinger equation with the Eckart potential. Zbl 1120.81024
Dong, Shi-Hai; Qiang, Wen-Chao; Sun, Guo-Hua; Bezerra, V. B.
16
2007
BDF-like methods for nonlinear dynamic analysis. Zbl 1307.74069
Dong, S.
15
2010
On the solutions of the Schrödiger equation with some anharmonic potentials: wave function ansatz. Zbl 1061.81509
Dong, Shi-Hai
14
2002
The series solutions of the non-relativistic equation with the Morse potential. Zbl 1073.81557
Dong, Shihai; Sun, Guohua
13
2003
Quantum states of a sextic potential: Hidden symmetry and quantum monodromy. Zbl 1009.81015
Child, Mark S.; Dong, Shi-Hai; Wang, Xiao-Gang
13
2000
Energy spectrum of the trigonometric Rosen-Morse potential using an improved quantization rule. Zbl 1209.81106
Ma, Zhong-Qi; Gonzalez-Cisneros, A.; Xu, Bo-Wei; Dong, Shi-Hai
12
2007
Exact solutions of the \(s\)-wave Schrödinger equation with Manning–Rosen potential. Zbl 1111.81044
Dong, Shi-Hai; García-Ravelo, J.
12
2007
Exact solutions and ladder operators for a new anharmonic oscillator. Zbl 1145.81354
Dong, Shi-Hai; Sun, Guo-Hua; Lozada-Cassou, M.
12
2005
The realization of dynamic group for the pseudoharmonic oscillator. Zbl 1042.81036
Dong, Shi-Hai
12
2003
Exactly complete solutions of the Schrödinger equation with a spherically harmonic oscillatory ring-shaped potential. Zbl 1235.81075
Zhang, Min-Cang; Sun, Guo-Hua; Dong, Shi-Hai
11
2010
The spin symmetry for deformed generalized Pöschl-Teller potential. Zbl 1231.81034
Wei, Gao-Feng; Dong, Shi-Hai
11
2009
Turbulent flow between counter-rotating concentric cylinders: a direct numerical simulation study. Zbl 1155.76035
Dong, S.
11
2008
Analytical approximations to the Schrödinger equation for a second Pöschl-Teller-like potential with centrifugal term. Zbl 1153.81485
Dong, Shi-Hai; Qiang, Wen-Chao; García-Ravelo, J.
11
2008
An algebraic approach to the ring-shaped non-spherical oscillator. Zbl 1134.81354
Dong, Shi-Hai; Sun, Guo-Hua; Lozada-Cassou, M.
11
2004
Analytical approximations to the l-wave solutions of the Klein-Gordon equation for a second Pöschl-Teller like potential. Zbl 1221.81057
Qiang, Wen-Chao; Dong, Shi-Hai
10
2008
Scattering of the Dirac particle by a Coulomb plus scalar potential in two dimensions. Zbl 1209.81179
Dong, Shi-Hai; Lozada-Cassou, M.
10
2004
The Dirac equation with a Coulomb potential in \(D\) dimensions. Zbl 1039.81012
Dong, Shi-Hai
10
2003
Schrödinger equation with the potential \(V(r)=Ar^{-4}+Br^{-3}+Cr^{-2}+Dr^{-1}\). Zbl 1061.81511
Dong, Shi-Hai
10
2001
Exact solutions to the Schrödinger equation for the potential \(V(r)= ar^2+ br^{-4}+ cr^{-6}\) in two dimensions. Zbl 0930.34073
Dong, Shihai; Ma, Zhongqi
10
1998
A pressure correction scheme for generalized form of energy-stable open boundary conditions for incompressible flows. Zbl 1349.76198
Dong, S.; Shen, J.
9
2015
Direct numerical simulation of spiral turbulence. Zbl 1225.76172
Dong, S.; Zheng, X.
9
2011
Spin symmetry in the relativistic symmetrical well potential including a proper approximation to the spin-orbit coupling term. Zbl 1188.81187
Wei, Gao-Feng; Dong, Shi-Hai
9
2010
The improved quantization rule and the Langer modification. Zbl 1220.81147
Gu, Xiao-Yan; Dong, Shi-Hai
9
2008
Energy spectra of the hyperbolic and second Pöschl-Teller like potentials solved by new exact quantization rule. Zbl 1137.81009
Dong, Shi-Hai; Gonzalez-Cisneros, A.
9
2008
A new approach to the relativistic Schrödinger equation with central potential: ansatz method. Zbl 0979.81034
Dong, Shi-Hai
9
2001
Exact solutions to solitonic profile mass Schrödinger problem with a modified Pöschl-Teller potential. Zbl 1333.81138
Dong, Shishan; Fang, Qin; Falaye, B. J.; Sun, Guo-Hua; Yáñez-Márquez, C.; Dong, Shi-Hai
8
2016
Physical formulation and numerical algorithm for simulating \(N\) immiscible incompressible fluids involving general order parameters. Zbl 1351.76234
Dong, S.
8
2015
A convective-like energy-stable open boundary condition for simulations of incompressible flows. Zbl 1349.76197
Dong, S.
8
2015
Qiang-Dong proper quantization rule and its applications to exactly solvable quantum systems. Zbl 1312.81076
Serrano, F. A.; Gu, Xiao-Yan; Dong, Shi-Hai
8
2010
Energy spectra for modified Rosen-Morse potential solved by the exact quantization rule. Zbl 1154.81335
Gu, Xiao-Yan; Dong, Shi-Hai; Ma, Zhong-Qi
8
2009
Arbitrary \(l\)-wave scattering state solutions of the Schrödinger equation for the Eckart potential. Zbl 1138.81530
Wei, Gao-Feng; Long, Chao-Yun; Duan, Xiao-Yong; Dong, Shi-Hai
8
2008
Analytical approximations to the \(l\)-wave solutions of the Schrödinger equation with an exponential-type potential. Zbl 1138.81382
Dong, Shishan; García-Ravelo, J.; Dong, Shi-Hai
8
2007
Exact solutions of the Klein–Gordon equation with scalar and vector ring-shaped potentials. Zbl 1117.81041
Dong, Shi-Hai; Lozada-Cassou, M.
8
2006
Exact solutions, ladder operators and Barut-Girardello coherent states for a harmonic oscillator plus an inverse square potential. Zbl 1079.81070
Dong, Shi-Hai; Lozada-Cassou, M.
8
2005
Harmonic functions for quadrilateral remeshing of arbitrary manifolds. Zbl 1205.65116
Dong, S.; Kircher, S.; Garland, M.
8
2005
Concentration of pulp fibers in 3D turbulent channel flow. Zbl 1136.76495
Dong, S.; Feng, X.; Salcudean, M.; Gartshore, I.
8
2003
Quantum monodromy in the spectrum of Schrödinger equation with a decatic potential. Zbl 0992.81015
Dong, Shi-Hai
8
2002
Wall-bounded multiphase flows of \(N\) immiscible incompressible fluids: consistency and contact-angle boundary condition. Zbl 1415.76450
Dong, S.
7
2017
Quantum information entropies for a squared tangent potential well. Zbl 1396.81032
Dong, Shishan; Sun, Guo-Hua; Dong, Shi-Hai; Draayer, J. P.
7
2014
Energy spectrum of the Manning-Rosen potential including centrifugal term solved by exact and proper quantization rules. Zbl 1270.81078
Gu, Xiao-Yan; Dong, Shi-Hai
7
2011
The Manning-Rosen potential studied by a new approximate scheme to the centrifugal term. Zbl 1170.81512
Qiang, Wenchao; Dong, Shihai
7
2009
Radial position-momentum uncertainties for the Dirac hydrogen-like atoms. Zbl 1098.81093
Qiang, Wen-Chao; Dong, Shi-Hai
7
2006
Group theory approach to the Dirac equation with a Coulomb plus scalar potential in \(D+1\) dimensions. Zbl 1062.81071
Dong, Shi-Hai; Sun, Guo-Hua; Popov, Dušan
7
2003
Exact solutions to the Dirac equation with a Coulomb potential in \(2+1\) dimensions. Zbl 1035.81013
Dong, Shihai; Ma, Zhongqi
7
2003
Correlations of spin states for icosahedral double group. Zbl 0979.81045
Dong, Shihai; Hou, Xiwen; Ma, Zhongqi
7
2001
Multiphase flows of \(N\) immiscible incompressible fluids: a reduction-consistent and thermodynamically-consistent formulation and associated algorithm. Zbl 1391.76804
Dong, S.
6
2018
Relativistic treatment of spinless particles subject to a rotating Deng-Fan oscillator. Zbl 1264.81192
Dong, Shi-Hai
6
2011
Solution of the Dirac equation with position-dependent mass in a Coulomb and scalar fields in a conical spacetime. Zbl 1277.35297
de A. Marques, Geusa; Bezerra, V. B.; Dong, Shi-Hai
5
2013
The relativistic bound and scattering states of the Eckart potential with a proper new approximate scheme for the centrifugal term. Zbl 1165.81326
Wei, Gao-Feng; Dong, Shi-Hai; Bezerra, V. B.
5
2009
Algebraic approach to the position-dependent mass Schrödinger equation for a singular oscillator. Zbl 1119.81056
Dong, Shi-Hai; Peña, J. J.; Pacheco-García, C.; García-Ravelo, J.
5
2007
The controllability of the pure states for the Morse potential with a dynamical group SU(1,1). Zbl 1161.81428
Dong, Shi-Hai; Lara-Rosano, F.; Sun, Guo-Hua
5
2004
The hidden symmetry for a quantum system with an infinitely deep square-well potential. Zbl 1219.81099
Dong, Shi-Hai; Ma, Zhong-Qi
5
2002
Fisher information for the position-dependent mass Schrödinger system. Zbl 1377.94016
Falaye, B. J.; Serrano, F. A.; Dong, Shi-Hai
4
2016
Exact solutions to a class of differential equation and some new mathematical properties for the universal associated-Legendre polynomials. Zbl 1326.34015
Chen, Chang-Yuan; Lu, Fa-Lin; Sun, Dong-Sheng; You, Yuan; Dong, Shi-Hai
4
2015
Quantum information entropies for position-dependent mass Schrödinger problem. Zbl 1343.81059
Yañez-Navarro, G.; Sun, Guo-Hua; Dytrych, T.; Launey, K. D.; Dong, Shi-Hai; Draayer, J. P.
4
2014
On some polynomial potentials in \(d\)-dimensions. Zbl 1284.81108
Brandon, David; Saad, Nasser; Dong, Shi-Hai
4
2013
An analytical approximations to the \(l\)-wave solutions of the Schrödinger equation with a hyperbolic potential. Zbl 1192.81126
Dong, Shishan; Miranda, S. G.; Enriquez, F. M.; Dong, Shi-Hai
4
2008
Generalized hypervirial and recurrence relations for radial matrix elements in arbitrary dimensions. Zbl 1101.81049
Dong, Shihai; Lozada-Cassou, M.
4
2005
Exact solutions of the Razavy cosine type potential. Zbl 1402.81129
Dong, Shishan; Dong, Qian; Sun, Guo-Hua; Femmam, S.; Dong, Shi-Hai
3
2018
JRSP of three-particle state via three tripartite GHZ class in quantum noisy channels. Zbl 1352.81017
Falaye, Babatunde James; Sun, Guo-Hua; Camacho-Nieto, Oscar; Dong, Shi-Hai
3
2016
Energy spectrum for a modified Rosen-Morse potential solved by proper quantization rule and its thermodynamic properties. Zbl 1309.81094
Dong, Shi-Hai; Cruz-Irisson, M.
3
2012
New type shift operators for circular well potential in two dimensions. Zbl 1238.81110
Sun, Guo-Hua; Dong, Shi-Hai
3
2010
Exact solutions of Dirac equation for a new spherically asymmetrical singular oscillator. Zbl 1202.81060
Sun, Guo-Hua; Dong, Shi-Hai
3
2010
SUSYQM and SWKB approaches to the relativistic equations with hyperbolic potential \(V_0\text{\,tanh}^2(\frac rd)\). Zbl 1070.81512
Qiang, Wen-Chao; Dong, Shi-Hai
3
2005
Quantum features of semiconductor quantum dots. Zbl 1123.82381
Lozada-Cassou, M.; Dong, Shi-Hai; Yu, Jiang
3
2004
New findings for two new type sine hyperbolic potentials. Zbl 1428.82004
Dong, Qian; Sun, Guo-Hua; Jing, Jian; Dong, Shi-Hai
2
2019
Exact solutions of a quartic potential. Zbl 1421.81036
Dong, Qian; Sun, Guo-Hua; Aoki, M. Avila; Chen, Chang-Yuan; Dong, Shi-Hai
2
2019
Semiexact solutions of the Razavy potential. Zbl 1403.81012
Dong, Qian; Serrano, F. A.; Sun, Guo-Hua; Jing, Jian; Dong, Shi-Hai
2
2018
Concurrence of three Jaynes-Cummings systems. Zbl 1395.81046
Qiang, Wen-Chao; Sun, Guo-Hua; Dong, Qian; Camacho-Nieto, Oscar; Dong, Shi-Hai
2
2018
Information-theoretic measures for a solitonic profile mass Schrödinger equation with a squared hyperbolic cosecant potential. Zbl 1400.94101
Serrano, F. A.; Falaye, B. J.; Dong, Shi-Hai
2
2016
Spin-orbit interaction for the double ring-shaped oscillator. Zbl 1380.81492
Chen, Chang-Yuan; Lu, Fa-Lin; Sun, Dong-Sheng; You, Yuan; Dong, Shi-Hai
2
2016
On integrals involving universal associated Legendre polynomials and powers of the factor \((1-x^2)\) and their byproducts. Zbl 1375.33018
Sun, Dong-Sheng; You, Yuan; Lu, Fa-Lin; Chen, Chang-Yuan; Dong, Shi-Hai
2
2016
Universal associated Legendre polynomials and some useful definite integrals. Zbl 1345.33001
Chen, Chang-Yuan; You, Yuan; Lu, Fa-Lin; Sun, Dong-Sheng; Dong, Shi-Hai
2
2016
The arbitrary \(l\) continuum states of the hyperbolic molecular potential. Zbl 1303.81081
Wei, Gao-Feng; Chen, Wen-Li; Dong, Shi-Hai
2
2014
Construction of the Barut-Girardello quasi coherent states for the Morse potential. Zbl 1343.81135
Popov, Dušan; Dong, Shi-Hai; Pop, Nicolina; Sajfert, Vjekoslav; Şimon, Simona
2
2013
Relativistic treatment of spinless particles subject to a Tietz-Wei oscillator. Zbl 1264.81193
Sun, Guo-Hua; Dong, Shi-Hai
2
2012
Proper quantization rule as a good candidate to semiclassical quantization rules. Zbl 1229.81094
Serrano, F. A.; Cruz-Irisson, M.; Dong, Shi-Hai
2
2011
New type shift operators for three-dimensional infinite well potential. Zbl 1209.81109
Sun, Guo-Hua; Dong, Shi-Hai
2
2011
Radial position-momentum uncertainties for Klein-Gordon hydrogen-like atoms. Zbl 1134.81361
Qiang, Wen-Chao; Dong, Shi-Hai
2
2008
An alternative approach to calculating the mean values \(\overline {r^k}\) for hydrogen-like atoms. Zbl 1156.81509
Qiang, Wen-Chao; Dong, Shi-Hai
2
2004
The Schrödinger equation with a Coulomb plus inverse-square potential in \(D\) dimensions. Zbl 1051.81007
Dong, Shi-Hai; Sun, Guo-Hua
2
2004
On the bound states of the Dirac equation with a Coulomb potential in \(2+1\) dimensions. Zbl 1061.81510
Dong, Shi-Hai
2
2003
New findings for two new type sine hyperbolic potentials. Zbl 1428.82004
Dong, Qian; Sun, Guo-Hua; Jing, Jian; Dong, Shi-Hai
2
2019
Exact solutions of a quartic potential. Zbl 1421.81036
Dong, Qian; Sun, Guo-Hua; Aoki, M. Avila; Chen, Chang-Yuan; Dong, Shi-Hai
2
2019
Exact solutions of the sine hyperbolic type potential. Zbl 1422.81179
Dong, Qian; Torres-Arenas, Ariadna J.; Sun, Guo-Hua; Camacho-Nieto, O.; Femmam, Smain; Dong, Shi-Hai
1
2019
Multiphase flows of \(N\) immiscible incompressible fluids: a reduction-consistent and thermodynamically-consistent formulation and associated algorithm. Zbl 1391.76804
Dong, S.
6
2018
Exact solutions of the Razavy cosine type potential. Zbl 1402.81129
Dong, Shishan; Dong, Qian; Sun, Guo-Hua; Femmam, S.; Dong, Shi-Hai
3
2018
Semiexact solutions of the Razavy potential. Zbl 1403.81012
Dong, Qian; Serrano, F. A.; Sun, Guo-Hua; Jing, Jian; Dong, Shi-Hai
2
2018
Concurrence of three Jaynes-Cummings systems. Zbl 1395.81046
Qiang, Wen-Chao; Sun, Guo-Hua; Dong, Qian; Camacho-Nieto, Oscar; Dong, Shi-Hai
2
2018
Constructions of the soluble potentials for the nonrelativistic quantum system by means of the Heun functions. Zbl 1404.81124
Dong, Shishan; Yáñez-Navarro, G.; Mercado Sanchez, M. A.; Mejía-García, C.; Sun, Guo-Hua; Dong, Shi-Hai
1
2018
Wall-bounded multiphase flows of \(N\) immiscible incompressible fluids: consistency and contact-angle boundary condition. Zbl 1415.76450
Dong, S.
7
2017
The visualization of the space probability distribution for a moving particle: in a single ring-shaped Coulomb potential. Zbl 1375.81094
You, Yuan; Lu, Fa-Lin; Sun, Dong-Sheng; Chen, Chang-Yuan; Dong, Shi-Hai
1
2017
Ring-shaped potential and a class of relevant integrals involved universal associated Legendre polynomials with complicated arguments. Zbl 1366.33007
Li, Wei; Chen, Chang-Yuan; Dong, Shi-Hai
1
2017
Exact solutions to solitonic profile mass Schrödinger problem with a modified Pöschl-Teller potential. Zbl 1333.81138
Dong, Shishan; Fang, Qin; Falaye, B. J.; Sun, Guo-Hua; Yáñez-Márquez, C.; Dong, Shi-Hai
8
2016
Fisher information for the position-dependent mass Schrödinger system. Zbl 1377.94016
Falaye, B. J.; Serrano, F. A.; Dong, Shi-Hai
4
2016
JRSP of three-particle state via three tripartite GHZ class in quantum noisy channels. Zbl 1352.81017
Falaye, Babatunde James; Sun, Guo-Hua; Camacho-Nieto, Oscar; Dong, Shi-Hai
3
2016
Information-theoretic measures for a solitonic profile mass Schrödinger equation with a squared hyperbolic cosecant potential. Zbl 1400.94101
Serrano, F. A.; Falaye, B. J.; Dong, Shi-Hai
2
2016
Spin-orbit interaction for the double ring-shaped oscillator. Zbl 1380.81492
Chen, Chang-Yuan; Lu, Fa-Lin; Sun, Dong-Sheng; You, Yuan; Dong, Shi-Hai
2
2016
On integrals involving universal associated Legendre polynomials and powers of the factor \((1-x^2)\) and their byproducts. Zbl 1375.33018
Sun, Dong-Sheng; You, Yuan; Lu, Fa-Lin; Chen, Chang-Yuan; Dong, Shi-Hai
2
2016
Universal associated Legendre polynomials and some useful definite integrals. Zbl 1345.33001
Chen, Chang-Yuan; You, Yuan; Lu, Fa-Lin; Sun, Dong-Sheng; Dong, Shi-Hai
2
2016
Steganography on quantum pixel images using Shannon entropy. Zbl 1349.81073
Laurel, Carlos Ortega; Dong, Shi-Hai; Cruz-Irisson, M.
1
2016
A pressure correction scheme for generalized form of energy-stable open boundary conditions for incompressible flows. Zbl 1349.76198
Dong, S.; Shen, J.
9
2015
Physical formulation and numerical algorithm for simulating \(N\) immiscible incompressible fluids involving general order parameters. Zbl 1351.76234
Dong, S.
8
2015
A convective-like energy-stable open boundary condition for simulations of incompressible flows. Zbl 1349.76197
Dong, S.
8
2015
Exact solutions to a class of differential equation and some new mathematical properties for the universal associated-Legendre polynomials. Zbl 1326.34015
Chen, Chang-Yuan; Lu, Fa-Lin; Sun, Dong-Sheng; You, Yuan; Dong, Shi-Hai
4
2015
Shannon information entropy for an infinite circular well. Zbl 1349.94109
Song, Xu-Dong; Sun, Guo-Hua; Dong, Shi-Hai
1
2015
An outflow boundary condition and algorithm for incompressible two-phase flows with phase field approach. Zbl 1362.76060
Dong, S.
17
2014
An efficient algorithm for incompressible \(N\)-phase flows. Zbl 1349.76196
Dong, S.
16
2014
Quantum information entropies for a squared tangent potential well. Zbl 1396.81032
Dong, Shishan; Sun, Guo-Hua; Dong, Shi-Hai; Draayer, J. P.
7
2014
Quantum information entropies for position-dependent mass Schrödinger problem. Zbl 1343.81059
Yañez-Navarro, G.; Sun, Guo-Hua; Dytrych, T.; Launey, K. D.; Dong, Shi-Hai; Draayer, J. P.
4
2014
The arbitrary \(l\) continuum states of the hyperbolic molecular potential. Zbl 1303.81081
Wei, Gao-Feng; Chen, Wen-Li; Dong, Shi-Hai
2
2014
Solution of the Dirac equation with position-dependent mass in a Coulomb and scalar fields in a conical spacetime. Zbl 1277.35297
de A. Marques, Geusa; Bezerra, V. B.; Dong, Shi-Hai
5
2013
On some polynomial potentials in \(d\)-dimensions. Zbl 1284.81108
Brandon, David; Saad, Nasser; Dong, Shi-Hai
4
2013
Construction of the Barut-Girardello quasi coherent states for the Morse potential. Zbl 1343.81135
Popov, Dušan; Dong, Shi-Hai; Pop, Nicolina; Sajfert, Vjekoslav; Şimon, Simona
2
2013
Exact solutions of the Schrödinger equation with double ring-shaped oscillator. Zbl 1295.81049
Chen, Chang-Yuan; You, Yuan; Wang, Xiao-Hua; Dong, Shi-Hai
1
2013
Quantum information entropies of the eigenstates for a symmetrically trigonometric Rosen-Morse potential. Zbl 1268.81070
Sun, Guo-Hua; Dong, Shi-Hai
1
2013
A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios. Zbl 1277.76118
Dong, S.; Shen, J.
47
2012
On imposing dynamic contact-angle boundary conditions for wall-bounded liquid-gas flows. Zbl 1352.76119
Dong, S.
25
2012
Energy spectrum for a modified Rosen-Morse potential solved by proper quantization rule and its thermodynamic properties. Zbl 1309.81094
Dong, Shi-Hai; Cruz-Irisson, M.
3
2012
Relativistic treatment of spinless particles subject to a Tietz-Wei oscillator. Zbl 1264.81193
Sun, Guo-Hua; Dong, Shi-Hai
2
2012
Application of the Sturm-Liouville theorem and shape invariance formalism to the Dirac equation with hyperbolic like potential. Zbl 1278.81081
Wei, Gao-Feng; Sun, Guo-Hua; Dong, Shi-Hai
1
2012
Morse potential in the momentum representation. Zbl 1264.81194
Sun, Guo-Hua; Dong, Shi-Hai
1
2012
Interbasis expansions for isotropic harmonic oscillator. Zbl 1260.81069
Dong, Shi-Hai
1
2012
Real exact solutions to the relativistic spinless particle with modified Rosen-Morse potential and its symmetry. Zbl 1254.81100
Qiang, W.-C.; Sun, G.-H.; Dong, S.-H.
1
2012
An eigen-based high-order expansion basis for structured spectral elements. Zbl 1352.76087
Zheng, X.; Dong, S.
23
2011
Wave equations in higher dimensions. Zbl 1248.81003
Dong, Shi-Hai
18
2011
Direct numerical simulation of spiral turbulence. Zbl 1225.76172
Dong, S.; Zheng, X.
9
2011
Energy spectrum of the Manning-Rosen potential including centrifugal term solved by exact and proper quantization rules. Zbl 1270.81078
Gu, Xiao-Yan; Dong, Shi-Hai
7
2011
Relativistic treatment of spinless particles subject to a rotating Deng-Fan oscillator. Zbl 1264.81192
Dong, Shi-Hai
6
2011
Proper quantization rule as a good candidate to semiclassical quantization rules. Zbl 1229.81094
Serrano, F. A.; Cruz-Irisson, M.; Dong, Shi-Hai
2
2011
New type shift operators for three-dimensional infinite well potential. Zbl 1209.81109
Sun, Guo-Hua; Dong, Shi-Hai
2
2011
Scheme for teleportation of entangled states without Bell-state measurement by using one atom. Zbl 1221.81038
Qiang, Wen-Chao; Zhang, Lei; Zhang, Ai-Ping; Dong, Shi-Hai
1
2011
An unconditionally stable rotational velocity-correction scheme for incompressible flows. Zbl 1425.76058
Dong, S.; Shen, J.
17
2010
BDF-like methods for nonlinear dynamic analysis. Zbl 1307.74069
Dong, S.
15
2010
Exactly complete solutions of the Schrödinger equation with a spherically harmonic oscillatory ring-shaped potential. Zbl 1235.81075
Zhang, Min-Cang; Sun, Guo-Hua; Dong, Shi-Hai
11
2010
Spin symmetry in the relativistic symmetrical well potential including a proper approximation to the spin-orbit coupling term. Zbl 1188.81187
Wei, Gao-Feng; Dong, Shi-Hai
9
2010
Qiang-Dong proper quantization rule and its applications to exactly solvable quantum systems. Zbl 1312.81076
Serrano, F. A.; Gu, Xiao-Yan; Dong, Shi-Hai
8
2010
New type shift operators for circular well potential in two dimensions. Zbl 1238.81110
Sun, Guo-Hua; Dong, Shi-Hai
3
2010
Exact solutions of Dirac equation for a new spherically asymmetrical singular oscillator. Zbl 1202.81060
Sun, Guo-Hua; Dong, Shi-Hai
3
2010
The spin symmetry for deformed generalized Pöschl-Teller potential. Zbl 1231.81034
Wei, Gao-Feng; Dong, Shi-Hai
11
2009
Energy spectra for modified Rosen-Morse potential solved by the exact quantization rule. Zbl 1154.81335
Gu, Xiao-Yan; Dong, Shi-Hai; Ma, Zhong-Qi
8
2009
The Manning-Rosen potential studied by a new approximate scheme to the centrifugal term. Zbl 1170.81512
Qiang, Wenchao; Dong, Shihai
7
2009
The relativistic bound and scattering states of the Eckart potential with a proper new approximate scheme for the centrifugal term. Zbl 1165.81326
Wei, Gao-Feng; Dong, Shi-Hai; Bezerra, V. B.
5
2009
Approximately analytical solutions of the Manning-Rosen potential with the spin-orbit coupling term and spin symmetry. Zbl 1227.81174
Wei, Gao-Feng; Dong, Shi-Hai
18
2008
The scattering of the Manning-Rosen potential with centrifugal term. Zbl 1220.81099
Wei, Gao-Feng; Long, Chao-Yun; Dong, Shi-Hai
17
2008
Turbulent flow between counter-rotating concentric cylinders: a direct numerical simulation study. Zbl 1155.76035
Dong, S.
11
2008
Analytical approximations to the Schrödinger equation for a second Pöschl-Teller-like potential with centrifugal term. Zbl 1153.81485
Dong, Shi-Hai; Qiang, Wen-Chao; García-Ravelo, J.
11
2008
Analytical approximations to the l-wave solutions of the Klein-Gordon equation for a second Pöschl-Teller like potential. Zbl 1221.81057
Qiang, Wen-Chao; Dong, Shi-Hai
10
2008
The improved quantization rule and the Langer modification. Zbl 1220.81147
Gu, Xiao-Yan; Dong, Shi-Hai
9
2008
Energy spectra of the hyperbolic and second Pöschl-Teller like potentials solved by new exact quantization rule. Zbl 1137.81009
Dong, Shi-Hai; Gonzalez-Cisneros, A.
9
2008
Arbitrary \(l\)-wave scattering state solutions of the Schrödinger equation for the Eckart potential. Zbl 1138.81530
Wei, Gao-Feng; Long, Chao-Yun; Duan, Xiao-Yong; Dong, Shi-Hai
8
2008
An analytical approximations to the \(l\)-wave solutions of the Schrödinger equation with a hyperbolic potential. Zbl 1192.81126
Dong, Shishan; Miranda, S. G.; Enriquez, F. M.; Dong, Shi-Hai
4
2008
Radial position-momentum uncertainties for Klein-Gordon hydrogen-like atoms. Zbl 1134.81361
Qiang, Wen-Chao; Dong, Shi-Hai
2
2008
Factorization method in quantum mechanics. Zbl 1130.81001
Dong, Shi-Hai
64
2007
Analytical approximations to the solutions of the Manning-Rosen potential with centrifugal term. Zbl 1209.81107
Qiang, Wen-Chao; Dong, Shi-Hai
28
2007
Arbitrary \(l\)-state solutions of the rotating Morse potential through the exact quantization rule method. Zbl 1197.81128
Qiang, Wen-Chao; Dong, Shi-Hai
27
2007
Direct numerical simulation of turbulent Taylor-Couette flow. Zbl 1141.76411
Dong, S.
20
2007
Analytical approximations to the \(l\)-wave solutions of the Schrödinger equation with the Eckart potential. Zbl 1120.81024
Dong, Shi-Hai; Qiang, Wen-Chao; Sun, Guo-Hua; Bezerra, V. B.
16
2007
Energy spectrum of the trigonometric Rosen-Morse potential using an improved quantization rule. Zbl 1209.81106
Ma, Zhong-Qi; Gonzalez-Cisneros, A.; Xu, Bo-Wei; Dong, Shi-Hai
12
2007
Exact solutions of the \(s\)-wave Schrödinger equation with Manning–Rosen potential. Zbl 1111.81044
Dong, Shi-Hai; García-Ravelo, J.
12
2007
Analytical approximations to the \(l\)-wave solutions of the Schrödinger equation with an exponential-type potential. Zbl 1138.81382
Dong, Shishan; García-Ravelo, J.; Dong, Shi-Hai
8
2007
Algebraic approach to the position-dependent mass Schrödinger equation for a singular oscillator. Zbl 1119.81056
Dong, Shi-Hai; Peña, J. J.; Pacheco-García, C.; García-Ravelo, J.
5
2007
Exact solutions of the Klein–Gordon equation with scalar and vector ring-shaped potentials. Zbl 1117.81041
Dong, Shi-Hai; Lozada-Cassou, M.
8
2006
Radial position-momentum uncertainties for the Dirac hydrogen-like atoms. Zbl 1098.81093
Qiang, Wen-Chao; Dong, Shi-Hai
7
2006
Evaluation of matrix elements of \(r^{k}\) and recurrence relations for the Klein–Gordon equation with a Coulomb field. Zbl 1117.81039
Chen, Chang-Yuan; Dong, Shi-Hai
1
2006
Algebraic approach to a harmonic oscillator plus an inverse squared potential and its recurrence relation. Zbl 1151.81327
Dong, Shishan; Dong, Shi-Hai; Lozada-Cassou, M.
1
2006
Exact solutions of the Schrödinger equation with the position-dependent mass for a hard-core potential. Zbl 1136.81353
Dong, Shi-Hai; Lozada-Cassou, M.
21
2005
Exactly complete solutions of the Coulomb potential plus a new ring-shaped potential. Zbl 1123.81343
Chen, Chang-Yuan; Dong, Shi-Hai
21
2005
Exact solutions and ladder operators for a new anharmonic oscillator. Zbl 1145.81354
Dong, Shi-Hai; Sun, Guo-Hua; Lozada-Cassou, M.
12
2005
Exact solutions, ladder operators and Barut-Girardello coherent states for a harmonic oscillator plus an inverse square potential. Zbl 1079.81070
Dong, Shi-Hai; Lozada-Cassou, M.
8
2005
Harmonic functions for quadrilateral remeshing of arbitrary manifolds. Zbl 1205.65116
Dong, S.; Kircher, S.; Garland, M.
8
2005
Generalized hypervirial and recurrence relations for radial matrix elements in arbitrary dimensions. Zbl 1101.81049
Dong, Shihai; Lozada-Cassou, M.
4
2005
SUSYQM and SWKB approaches to the relativistic equations with hyperbolic potential \(V_0\text{\,tanh}^2(\frac rd)\). Zbl 1070.81512
Qiang, Wen-Chao; Dong, Shi-Hai
3
2005
Controllability of pure states for the Pöschl-Teller potential with a dynamical group SU(2). Zbl 1075.81022
Dong, Shi-Hai; Tang, Yu; Sun, Guo-Hua; Lara-Rosano, F.; Lozada-Cassou, M.
1
2005
Series solutions of the Schrödinger equation with position-dependent mass for the Morse potential. Zbl 1118.81469
Yu, Jiang; Dong, Shi-Hai; Sun, Guo-Hua
30
2004
Exactly solvable potentials for the Schrödinger equation with spatially dependent mass. Zbl 1161.81353
Yu, Jiang; Dong, Shi-Hai
20
2004
An algebraic approach to the ring-shaped non-spherical oscillator. Zbl 1134.81354
Dong, Shi-Hai; Sun, Guo-Hua; Lozada-Cassou, M.
11
2004
Scattering of the Dirac particle by a Coulomb plus scalar potential in two dimensions. Zbl 1209.81179
Dong, Shi-Hai; Lozada-Cassou, M.
10
2004
The controllability of the pure states for the Morse potential with a dynamical group SU(1,1). Zbl 1161.81428
Dong, Shi-Hai; Lara-Rosano, F.; Sun, Guo-Hua
5
2004
Quantum features of semiconductor quantum dots. Zbl 1123.82381
Lozada-Cassou, M.; Dong, Shi-Hai; Yu, Jiang
3
2004
An alternative approach to calculating the mean values \(\overline {r^k}\) for hydrogen-like atoms. Zbl 1156.81509
Qiang, Wen-Chao; Dong, Shi-Hai
2
2004
The Schrödinger equation with a Coulomb plus inverse-square potential in \(D\) dimensions. Zbl 1051.81007
Dong, Shi-Hai; Sun, Guo-Hua
2
2004
...and 22 more Documents
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Cited by 750 Authors

42 Dong, Shihai
29 Sever, Ramazan
26 Hassanabadi, Hassan
19 Ikhdair, Sameer M.
18 Zarrinkamar, Saber
15 Sun, Guohua
11 Ikot, Akpan Ndem
10 Jia, Chunsheng
10 Rajabi, Ali Akbar
9 Dong, Suchuan
9 Hamzavi, Majid
9 Karniadakis, George Em
9 Wei, Gaofeng
8 Dong, Shunan
8 Maghsoodi, Elham
8 Oyewumi, Kayode John
8 Tezcan, Cevdet
7 Chen, Changyuan
7 Mustafa, Omar
6 Arda, Altuğ
6 Yang, Xiaofeng
6 Yang, Zhiguo
6 Zerarka, Abdelwahab
5 Dehesa, Jesús S.
5 Dong, Qian
5 Gu, Xiaoyan
5 Hall, Richard L.
5 Quesne, Christiane
5 Rahimov, H.
5 Saad, Nasser
5 Sen, K. D.
5 Shen, Jie
4 Ahmadov, A. I.
4 Aktaş, Metin
4 Alhaidari, Abdulaziz D.
4 de Castro, Antonio Soares
4 Dong, Shishan
4 Eshghi, Mahdi
4 Falaye, Babatunde James
4 Hassouni, S.
4 Lin, Ping
4 Liu, Xu-Yang
4 Mazharimousavi, S. Habib
4 Panahi, Hossein
4 Qiang, Wenchao
4 Saidi, Hanane
4 Setare, Mohammad Reza
4 Yeşiltaş, Özlem
4 Yi, Liangzhong
4 Zhang, Mincang
3 Akkerman, Ido
3 Antia, Akaninyene D.
3 Baek, Hyoungsu
3 Bagchi, Bijan Kumar
3 Bakke, Knut
3 Baradaran, Marzieh
3 Bazilevs, Yuri
3 Boztosun, Ismail
3 Brauckmann, Hannes J.
3 Das, Tapas Kumar
3 Eckhardt, Bruno
3 García-Ravelo, Jesús
3 Garcia, Martin G.
3 Guedes, I.
3 Guo, Zhenlin
3 Han, Daozhi
3 Havare, Ali
3 Hilger, Stefan
3 Huang-Fu, Guo-Qing
3 Li, Jinze
3 Lin, Lianlei
3 Lohse, Detlef
3 Long, Chao-Yun
3 Long, Zhengwen
3 Lowengrub, John Samuel
3 Lozada-Cassou, Marcelo
3 Lu, Falin
3 Oluwadare, Oluwatimilehin Joshua
3 Schulze-Halberg, Axel
3 Serrano, F. A.
3 Sun, Dongsheng
3 Türker Bayrak, Özlem
3 Verzicco, Roberto
3 You, Yuan
3 Yu, Haijun
3 Yu, Kaiping
3 Yu, Yue
3 Zhang, Chao
2 Aguiar, Victor H.
2 Aguirre, Miquel
2 Alberto, Pedro
2 Amir, Naila
2 Ardekani, Arezoo M.
2 Aydogdu, Oktay
2 Belich, Humberto
2 Berkdemir, Cüneyt
2 Bezerra, Valdir B.
2 Bittencourt, Marco Lúcio
2 Bonet, Javier
2 Boumedjane, Y.
...and 650 more Authors
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Cited in 94 Serials

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