# zbMATH — the first resource for mathematics

## Roy, Pinaki

Compute Distance To:
 Author ID: roy.pinaki Published as: Roy, P.; Roy, Pinaki Homepage: https://www.isical.ac.in/~pamu/pinaki_roy.php External Links: Math-Net.Ru · ResearchGate · dblp
 Documents Indexed: 71 Publications since 1988
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#### Co-Authors

 1 single-authored 12 Sinha, Anjana 10 Roy, Barnana 9 Roychoudhury, Rajkumar 5 Jana, T. K. 5 Lévai, Géza 5 Schulze-Halberg, Axel 4 Junker, Georg 3 Ho, Choon-Lin 3 Varshni, Yatendra Pal 2 Barut, Asim Orhan 2 Dutta, Debasmita 2 Giri, Pulak Ranjan 2 Jana, T. 2 Panella, Orlando 2 Tkachuk, Volodymyr M. 2 Znojil, Miloslav 1 Aizawa, Naruhiko 1 Basu-Mallick, Bireswar 1 Bender, Carl M. 1 Cannata, Francesco 1 Cooper, Fred 1 Dutta, Debashree 1 Dutta, Debjit 1 Dutta, Dulal 1 García-Ravelo, Jesús 1 Ghosh, Prabir Kumar 1 Gil, José Juan Peña 1 Ioffe, Mikhail V. 1 Kilcup, Greg 1 Mandal, Bhabani Prasad 1 Nath, Dhruva 1 Nath, Dipti 1 Rivas, Jesús Morales 1 Samsonov, Boris F. 1 Simmons, L. M. jun.
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#### Serials

 18 Physics Letters. A 14 Journal of Physics A: Mathematical and General 9 Modern Physics Letters A 9 Annals of Physics 6 Journal of Physics A: Mathematical and Theoretical 5 Journal of Mathematical Physics 2 The European Physical Journal C. Particles and Fields 1 International Journal of Modern Physics A 1 Journal of Statistical Physics 1 Canadian Journal of Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Symmetry
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#### Fields

 68 Quantum theory (81-XX) 9 Partial differential equations (35-XX) 6 Special functions (33-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 2 Information and communication theory, circuits (94-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

58 Publications have been cited 315 times in 247 Documents Cited by Year
A Lie algebraic approach to effective mass Schrödinger equations. Zbl 1040.35004
Roy, B.; Roy, P.
2002
Conditionally exactly solvable potentials and exceptional orthogonal polynomials. Zbl 1310.81076
Dutta, D.; Roy, P.
2010
A new class of PT-symmetric Hamiltonians with real spectra. Zbl 0984.81041
Cannata, F.; Ioffe, M.; Roychoudhury, R.; Roy, P.
2001
Conditionally exactly solvable potentials: A supersymmetric construction method. Zbl 0923.34075
Junker, Georg; Roy, Pinaki
1998
Conditionally exactly solvable problems and nonlinear algebras. Zbl 1053.81517
Junker, Georg; Roy, Pinaki
1997
Effective mass Schrödinger equation and nonlinear algebras. Zbl 1145.81362
Roy, B.; Roy, P.
2005
Exact solution of the Klein-Gordon equation in the presence of a minimal length. Zbl 1228.81154
Jana, T. K.; Roy, P.
2009
$$(1+1)$$-dimensional Dirac equation with non-Hermitian interaction. Zbl 1081.81036
Sinha, A.; Roy, P.
2005
$$\mathcal{PT}$$ symmetry of a conditionally exactly solvable potential. Zbl 1118.81441
Sinha, A.; Lévai, G.; Roy, P.
2004
Comprehensive analysis of conditionally exactly solvable models. Zbl 1015.81019
Roychoudhury, Rajkumar; Roy, Pinaki; Znojil, Miloslav; Lévai, Géza
2001
Nonlinear coherent states associated with conditionally exactly solvable problems. Zbl 0934.81016
Junker, Georg; Roy, Pinaki
1999
The non-commutative oscillator, symmetry and the Landau problem. Zbl 1189.81109
Giri, Pulak Ranjan; Roy, P.
2008
Is the $${\mathcal C}{\mathcal P}{\mathcal T}$$ norm always positive? Zbl 1065.81048
Samsonov, Boris F.; Roy, Pinaki
2005
Information entropy of conditionally exactly solvable potentials. Zbl 1315.81036
Dutta, D.; Roy, P.
2011
Shape invariance approach to exact solutions of the Klein-Gordon equation. Zbl 1170.35511
Jana, T.; Roy, P.
2007
Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators. Zbl 1045.81017
Ho, Choon-Lin; Roy, Pinaki
2004
Anomalous doublets of states in a PT symmetric quantum model. Zbl 0973.81014
Znojil, Miloslav; Lévai, Géza; Roy, Pinaki; Roychoudhury, Rajkumar
2001
An exactly solvable $${\mathcal{PT}}$$ symmetric potential from the Natanzon class. Zbl 1047.81569
Lévai, G.; Sinha, A.; Roy, P.
2003
Gazeau-Klauder coherent state for the Morse potential and some of its properties. Zbl 0994.81050
Roy, B.; Roy, P.
2002
Supersymmetry of a spin $${1\over 2}$$ particle on the real line. Zbl 0949.81017
Tkachuk, V. M.; Roy, P.
1999
Coherent states, even and odd coherent states in a finite-dimensional Hilbert space and their properties. Zbl 0907.47061
Roy, B.; Roy, P.
1998
Shifted 1/N expansion approach to the interaction $$V(r)=r^ 2-\lambda r^ 2/(1+gr^ 2)$$. Zbl 0695.35193
Roy, Barnana; Roy Choudhury, Rajkumar; Roy, Pinaki
1988
Construction of zero-energy states in graphene through the supersymmetry formalism. Zbl 1383.82081
Schulze-Halberg, Axel; Roy, Pinaki
2017
Generalized Swanson models and their solutions. Zbl 1124.81020
Sinha, A.; Roy, P.
2007
Construction of the $${\mathcal{C}}$$ operator for a $${\mathcal{PT}}$$ symmetric model. Zbl 1124.81019
Roychoudhury, R.; Roy, P.
2007
Quasi-exact solvability of the Pauli equation. Zbl 1033.81025
Ho, Choon-Lin; Roy, Pinaki
2003
Motion of a spin-$$\frac 12$$ particle in shape invariant scalar and magnetic fields. Zbl 0954.81021
Tkachuk, V. M.; Roy, P.
2000
A generalized nonclassical state of the radiation field and some of its properties. Zbl 0940.81054
Roy, P.; Roy, B.
1997
Non-Hermitian quantum mechanics in non-commutative space. Zbl 1189.81108
Giri, Pulak Ranjan; Roy, P.
2009
Coherent states of non-Hermitian quantum systems. Zbl 1236.81134
Roy, Barnana; Roy, Pinaki
2006
Spontaneous $$\mathcal{PT}$$ symmetry breaking and pseudo-supersymmetry. Zbl 1122.81051
Sinha, A.; Roy, P.
2006
$$\mathcal{PT}$$-symmetric effective mass Schrödinger equations. Zbl 1092.81017
Roy, B.; Roy, P.
2005
Construction of $$(1+1)$$-dimensional field models with exactly solvable fluctuation equations about classical finite-energy configurations. Zbl 0924.58127
Junker, Georg; Roy, Pinaki
1997
Bound states of the two-dimensional Dirac equation for an energy-dependent hyperbolic Scarf potential. Zbl 1383.82082
Schulze-Halberg, Axel; Roy, Pinaki
2017
Noncommutative anisotropic oscillator in a homogeneous magnetic field. Zbl 1368.81107
Nath, D.; Roy, P.
2017
Quantum models with energy-dependent potentials solvable in terms of exceptional orthogonal polynomials. Zbl 1367.81071
Schulze-Halberg, Axel; Roy, Pinaki
2017
An analysis of the zero energy states in graphene. Zbl 1349.81084
Ghosh, P.; Roy, Pinaki
2016
Pseudo Hermitian interactions in the Dirac equation. Zbl 1351.81052
Panella, Orlando; Roy, Pinaki
2014
Pseudo-Hermitian generalized Dirac oscillators. Zbl 1266.81060
Dutta, D.; Panella, O.; Roy, P.
2013
Exact solutions of the Fokker-Planck equation from an $$n$$th order supersymmetric quantum mechanics approach. Zbl 1229.81118
Schulze-Halberg, Axel; Rivas, Jesús Morales; Gil, José Juan Peña; García-Ravelo, Jesús; Roy, Pinaki
2009
A class of exactly solvable Schrödinger equation with moving boundary condition. Zbl 1220.81093
Jana, T. K.; Roy, P.
2008
Pseudo supersymmetric partners for the generalized Swanson model. Zbl 1144.81020
Sinha, A.; Roy, P.
2008
New exactly solvable isospectral partners for $$\mathcal P\mathcal T$$ symmetric potentials. Zbl 1048.81058
Sinha, Anjana; Roy, Pinaki
2004
Conditionally exactly solvable potentials and supersymmetric transformations. Zbl 0949.81019
Lévai, Géza; Roy, Pinaki
1999
$$q$$-deformed algebras and the two-anyon problem. Zbl 1022.81818
Roy, P.
1996
Some observations on the nature of solutions for the interaction $$V(x)=x^ 2+\lambda x^ 2/(1+gx^ 2)$$. Zbl 0715.34054
Roy, Pinaki; Roychoudhury, Rajkumar
1990
Quasi exactly solvable extension of Calogero model associated with exceptional orthogonal polynomials. Zbl 1365.81061
Basu-Mallick, B.; Mandal, Bhabani Prasad; Roy, Pinaki
2017
Pseudo-Hermitian and $$\mathcal{P}T$$-symmetric quantum systems with energy-dependent potentials: bound-state solutions and energy spectra. Zbl 1365.81056
Schulze-Halberg, Axel; Roy, Pinaki
2017
Dirac oscillator in perpendicular magnetic and transverse electric fields. Zbl 1360.81148
Nath, D.; Roy, Pinaki
2014
Dirac equation with complex potentials. Zbl 1305.81132
Ho, C.-L.; Roy, P.
2014
Study of classical mechanical systems with complex potentials. Zbl 1241.70025
Sinha, A.; Dutta, D.; Roy, P.
2011
Darboux transformation for the one-dimensional stationary Dirac equation with non-Hermitian interaction. Zbl 1111.81050
Sinha, A.; Roy, P.
2006
$$\mathcal{PT}$$ symmetric models with nonlinear pseudosupersymmetry. Zbl 1076.81044
Sinha, A.; Roy, P.
2005
Time dependent nonclassical properties of even and odd nonlinear coherent states. Zbl 1044.81619
Roy, B.; Roy, P.
1999
On quasi-exactly solvable problems and supersymmetry. Zbl 1021.81924
Roy, P.; Varshni, Y. P.
1991
On the application of supersymmetric WKB (Wentzel-Kramers-Brillouin) method to quasi-exactly solvable problems. Zbl 0991.81513
Roy, P.; Roychoudhury, R.; Varshni, Y. P.
1991
Novel perturbation expansion for the Langevin equation. Zbl 0943.82565
Bender, Carl; Cooper, Fred; Simmons, L. M. jun.; Roy, Pinaki; Kilcup, Greg
1991
Some solutions of the supersymmetric non-polynomial oscillator - a comparison between the SWKB and WKB methods. Zbl 0695.35194
Roy, Pinaki; Roy Choudhury, Rajkumar; Varshni, Y. P.
1988
Construction of zero-energy states in graphene through the supersymmetry formalism. Zbl 1383.82081
Schulze-Halberg, Axel; Roy, Pinaki
2017
Bound states of the two-dimensional Dirac equation for an energy-dependent hyperbolic Scarf potential. Zbl 1383.82082
Schulze-Halberg, Axel; Roy, Pinaki
2017
Noncommutative anisotropic oscillator in a homogeneous magnetic field. Zbl 1368.81107
Nath, D.; Roy, P.
2017
Quantum models with energy-dependent potentials solvable in terms of exceptional orthogonal polynomials. Zbl 1367.81071
Schulze-Halberg, Axel; Roy, Pinaki
2017
Quasi exactly solvable extension of Calogero model associated with exceptional orthogonal polynomials. Zbl 1365.81061
Basu-Mallick, B.; Mandal, Bhabani Prasad; Roy, Pinaki
2017
Pseudo-Hermitian and $$\mathcal{P}T$$-symmetric quantum systems with energy-dependent potentials: bound-state solutions and energy spectra. Zbl 1365.81056
Schulze-Halberg, Axel; Roy, Pinaki
2017
An analysis of the zero energy states in graphene. Zbl 1349.81084
Ghosh, P.; Roy, Pinaki
2016
Pseudo Hermitian interactions in the Dirac equation. Zbl 1351.81052
Panella, Orlando; Roy, Pinaki
2014
Dirac oscillator in perpendicular magnetic and transverse electric fields. Zbl 1360.81148
Nath, D.; Roy, Pinaki
2014
Dirac equation with complex potentials. Zbl 1305.81132
Ho, C.-L.; Roy, P.
2014
Pseudo-Hermitian generalized Dirac oscillators. Zbl 1266.81060
Dutta, D.; Panella, O.; Roy, P.
2013
Information entropy of conditionally exactly solvable potentials. Zbl 1315.81036
Dutta, D.; Roy, P.
2011
Study of classical mechanical systems with complex potentials. Zbl 1241.70025
Sinha, A.; Dutta, D.; Roy, P.
2011
Conditionally exactly solvable potentials and exceptional orthogonal polynomials. Zbl 1310.81076
Dutta, D.; Roy, P.
2010
Exact solution of the Klein-Gordon equation in the presence of a minimal length. Zbl 1228.81154
Jana, T. K.; Roy, P.
2009
Non-Hermitian quantum mechanics in non-commutative space. Zbl 1189.81108
Giri, Pulak Ranjan; Roy, P.
2009
Exact solutions of the Fokker-Planck equation from an $$n$$th order supersymmetric quantum mechanics approach. Zbl 1229.81118
Schulze-Halberg, Axel; Rivas, Jesús Morales; Gil, José Juan Peña; García-Ravelo, Jesús; Roy, Pinaki
2009
The non-commutative oscillator, symmetry and the Landau problem. Zbl 1189.81109
Giri, Pulak Ranjan; Roy, P.
2008
A class of exactly solvable Schrödinger equation with moving boundary condition. Zbl 1220.81093
Jana, T. K.; Roy, P.
2008
Pseudo supersymmetric partners for the generalized Swanson model. Zbl 1144.81020
Sinha, A.; Roy, P.
2008
Shape invariance approach to exact solutions of the Klein-Gordon equation. Zbl 1170.35511
Jana, T.; Roy, P.
2007
Generalized Swanson models and their solutions. Zbl 1124.81020
Sinha, A.; Roy, P.
2007
Construction of the $${\mathcal{C}}$$ operator for a $${\mathcal{PT}}$$ symmetric model. Zbl 1124.81019
Roychoudhury, R.; Roy, P.
2007
Coherent states of non-Hermitian quantum systems. Zbl 1236.81134
Roy, Barnana; Roy, Pinaki
2006
Spontaneous $$\mathcal{PT}$$ symmetry breaking and pseudo-supersymmetry. Zbl 1122.81051
Sinha, A.; Roy, P.
2006
Darboux transformation for the one-dimensional stationary Dirac equation with non-Hermitian interaction. Zbl 1111.81050
Sinha, A.; Roy, P.
2006
Effective mass Schrödinger equation and nonlinear algebras. Zbl 1145.81362
Roy, B.; Roy, P.
2005
$$(1+1)$$-dimensional Dirac equation with non-Hermitian interaction. Zbl 1081.81036
Sinha, A.; Roy, P.
2005
Is the $${\mathcal C}{\mathcal P}{\mathcal T}$$ norm always positive? Zbl 1065.81048
Samsonov, Boris F.; Roy, Pinaki
2005
$$\mathcal{PT}$$-symmetric effective mass Schrödinger equations. Zbl 1092.81017
Roy, B.; Roy, P.
2005
$$\mathcal{PT}$$ symmetric models with nonlinear pseudosupersymmetry. Zbl 1076.81044
Sinha, A.; Roy, P.
2005
$$\mathcal{PT}$$ symmetry of a conditionally exactly solvable potential. Zbl 1118.81441
Sinha, A.; Lévai, G.; Roy, P.
2004
Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators. Zbl 1045.81017
Ho, Choon-Lin; Roy, Pinaki
2004
New exactly solvable isospectral partners for $$\mathcal P\mathcal T$$ symmetric potentials. Zbl 1048.81058
Sinha, Anjana; Roy, Pinaki
2004
An exactly solvable $${\mathcal{PT}}$$ symmetric potential from the Natanzon class. Zbl 1047.81569
Lévai, G.; Sinha, A.; Roy, P.
2003
Quasi-exact solvability of the Pauli equation. Zbl 1033.81025
Ho, Choon-Lin; Roy, Pinaki
2003
A Lie algebraic approach to effective mass Schrödinger equations. Zbl 1040.35004
Roy, B.; Roy, P.
2002
Gazeau-Klauder coherent state for the Morse potential and some of its properties. Zbl 0994.81050
Roy, B.; Roy, P.
2002
A new class of PT-symmetric Hamiltonians with real spectra. Zbl 0984.81041
Cannata, F.; Ioffe, M.; Roychoudhury, R.; Roy, P.
2001
Comprehensive analysis of conditionally exactly solvable models. Zbl 1015.81019
Roychoudhury, Rajkumar; Roy, Pinaki; Znojil, Miloslav; Lévai, Géza
2001
Anomalous doublets of states in a PT symmetric quantum model. Zbl 0973.81014
Znojil, Miloslav; Lévai, Géza; Roy, Pinaki; Roychoudhury, Rajkumar
2001
Motion of a spin-$$\frac 12$$ particle in shape invariant scalar and magnetic fields. Zbl 0954.81021
Tkachuk, V. M.; Roy, P.
2000
Nonlinear coherent states associated with conditionally exactly solvable problems. Zbl 0934.81016
Junker, Georg; Roy, Pinaki
1999
Supersymmetry of a spin $${1\over 2}$$ particle on the real line. Zbl 0949.81017
Tkachuk, V. M.; Roy, P.
1999
Conditionally exactly solvable potentials and supersymmetric transformations. Zbl 0949.81019
Lévai, Géza; Roy, Pinaki
1999
Time dependent nonclassical properties of even and odd nonlinear coherent states. Zbl 1044.81619
Roy, B.; Roy, P.
1999
Conditionally exactly solvable potentials: A supersymmetric construction method. Zbl 0923.34075
Junker, Georg; Roy, Pinaki
1998
Coherent states, even and odd coherent states in a finite-dimensional Hilbert space and their properties. Zbl 0907.47061
Roy, B.; Roy, P.
1998
Conditionally exactly solvable problems and nonlinear algebras. Zbl 1053.81517
Junker, Georg; Roy, Pinaki
1997
A generalized nonclassical state of the radiation field and some of its properties. Zbl 0940.81054
Roy, P.; Roy, B.
1997
Construction of $$(1+1)$$-dimensional field models with exactly solvable fluctuation equations about classical finite-energy configurations. Zbl 0924.58127
Junker, Georg; Roy, Pinaki
1997
$$q$$-deformed algebras and the two-anyon problem. Zbl 1022.81818
Roy, P.
1996
On quasi-exactly solvable problems and supersymmetry. Zbl 1021.81924
Roy, P.; Varshni, Y. P.
1991
On the application of supersymmetric WKB (Wentzel-Kramers-Brillouin) method to quasi-exactly solvable problems. Zbl 0991.81513
Roy, P.; Roychoudhury, R.; Varshni, Y. P.
1991
Novel perturbation expansion for the Langevin equation. Zbl 0943.82565
Bender, Carl; Cooper, Fred; Simmons, L. M. jun.; Roy, Pinaki; Kilcup, Greg
1991
Some observations on the nature of solutions for the interaction $$V(x)=x^ 2+\lambda x^ 2/(1+gx^ 2)$$. Zbl 0715.34054
Roy, Pinaki; Roychoudhury, Rajkumar
1990
Shifted 1/N expansion approach to the interaction $$V(r)=r^ 2-\lambda r^ 2/(1+gr^ 2)$$. Zbl 0695.35193
Roy, Barnana; Roy Choudhury, Rajkumar; Roy, Pinaki
1988
Some solutions of the supersymmetric non-polynomial oscillator - a comparison between the SWKB and WKB methods. Zbl 0695.35194
Roy, Pinaki; Roy Choudhury, Rajkumar; Varshni, Y. P.
1988
all top 5