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## Prodan, Emil

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 Author ID: prodan.emil Published as: Prodan, E.; Prodan, Emil External Links: ORCID
 Documents Indexed: 32 Publications since 1998, including 2 Books
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#### Co-Authors

 14 single-authored 4 Nordlander, P. 3 Schulz-Baldes, Hermann 2 Bellissard, Jean V. 2 Garcia, Stephan Ramon 2 Kühne, Thomas D. 2 Leung, Bryan 2 Putinar, Mihai 1 Bourne, Chris 1 Heske, Julian 1 Kellendonk, Johannes 1 Liu, Yifei 1 Liu, Yingkai 1 Shmalo, Yitzchak
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#### Serials

 7 Journal of Mathematical Physics 7 Journal of Physics A: Mathematical and Theoretical 4 Annals of Physics 4 Journal of Physics A: Mathematical and General 2 Annales Henri Poincaré 1 Journal of Statistical Physics 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Journal of Functional Analysis 1 New Journal of Physics 1 AMRX. Applied Mathematics Research eXpress 1 Mathematical Physics Studies 1 SpringerBriefs in Mathematical Physics
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#### Fields

 21 Quantum theory (81-XX) 19 Statistical mechanics, structure of matter (82-XX) 5 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 $$K$$-theory (19-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX)

#### Citations contained in zbMATH

24 Publications have been cited 234 times in 161 Documents Cited by Year
Bulk and boundary invariants for complex topological insulators. From $$K$$-theory to physics. Zbl 1342.82002
Prodan, Emil; Schulz-Baldes, Hermann
2016
Mathematical and physical aspects of complex symmetric operators. Zbl 1338.81200
Garcia, Stephan Ramon; Prodan, Emil; Putinar, Mihai
2014
Non-commutative odd Chern numbers and topological phases of disordered chiral systems. Zbl 1344.82055
Prodan, Emil; Schulz-Baldes, Hermann
2016
The non-commutative $$n$$th-Chern number $$(n\geq 1)$$. Zbl 1290.82016
Prodan, Emil; Leung, Bryan; Bellissard, Jean
2013
Disordered topological insulators: a non-commutative geometry perspective. Zbl 1213.82082
Prodan, Emil
2011
Norm estimates of complex symmetric operators applied to quantum systems. Zbl 1088.81045
Prodan, Emil; Garcia, Stephan R.; Putinar, Mihai
2006
Quantum transport in disordered systems under magnetic fields: a study based on operator algebras. Zbl 1318.82041
Prodan, Emil
2013
A computational non-commutative geometry program for disordered topological insulators. Zbl 1371.82004
Prodan, Emil
2017
On the Kohn-Sham equations with periodic background potentials. Zbl 1033.81079
Prodan, E.; Nordlander, P.
2003
Non-commutative Chern numbers for generic aperiodic discrete systems. Zbl 1397.82052
Bourne, Chris; Prodan, Emil
2018
Generalized Connes-Chern characters in KK-theory with an application to weak invariants of topological insulators. Zbl 1358.81130
Prodan, Emil; Schulz-Baldes, Hermann
2016
Hartree approximation. I: The fixed point approach. Zbl 1029.82003
Prodan, E.; Nordlander, P.
2001
A non-commutative formula for the isotropic magneto-electric response. Zbl 1269.82069
Leung, Bryan; Prodan, Emil
2013
An edge index for the quantum spin-Hall effect. Zbl 1158.81028
Prodan, Emil
2009
Topological quantization of ensemble averages. Zbl 1156.81377
Prodan, Emil
2009
Symmetry breaking in the self-consistent Kohn-Sham equations. Zbl 1073.81691
Prodan, E.
2005
Bulk-boundary correspondence for Sturmian Kohmoto-like models. Zbl 07063410
Kellendonk, Johannes; Prodan, Emil
2019
Mapping the current-current correlation function near a quantum critical point. Zbl 1377.81261
Prodan, Emil; Bellissard, Jean
2016
The edge spectrum of Chern insulators with rough boundaries. Zbl 1298.81088
Prodan, Emil
2009
Hartree approximation. III: Symmetry breaking. Zbl 1029.82005
Prodan, E.; Nordlander, P.
2001
Spontaneous transitions in quantum mechanics. Zbl 0992.81090
Prodan, E.
1999
The $$K$$-theoretic bulk-boundary principle for dynamically patterned resonators. Zbl 06997121
Prodan, Emil; Shmalo, Yitzchak
2019
On the generalized Wannier functions. Zbl 1330.35092
Prodan, Emil
2015
Hartree approximation. II: The thermodynamic limit. Zbl 1029.82004
Prodan, E.; Nordlander, P.
2001
Bulk-boundary correspondence for Sturmian Kohmoto-like models. Zbl 07063410
Kellendonk, Johannes; Prodan, Emil
2019
The $$K$$-theoretic bulk-boundary principle for dynamically patterned resonators. Zbl 06997121
Prodan, Emil; Shmalo, Yitzchak
2019
Non-commutative Chern numbers for generic aperiodic discrete systems. Zbl 1397.82052
Bourne, Chris; Prodan, Emil
2018
A computational non-commutative geometry program for disordered topological insulators. Zbl 1371.82004
Prodan, Emil
2017
Bulk and boundary invariants for complex topological insulators. From $$K$$-theory to physics. Zbl 1342.82002
Prodan, Emil; Schulz-Baldes, Hermann
2016
Non-commutative odd Chern numbers and topological phases of disordered chiral systems. Zbl 1344.82055
Prodan, Emil; Schulz-Baldes, Hermann
2016
Generalized Connes-Chern characters in KK-theory with an application to weak invariants of topological insulators. Zbl 1358.81130
Prodan, Emil; Schulz-Baldes, Hermann
2016
Mapping the current-current correlation function near a quantum critical point. Zbl 1377.81261
Prodan, Emil; Bellissard, Jean
2016
On the generalized Wannier functions. Zbl 1330.35092
Prodan, Emil
2015
Mathematical and physical aspects of complex symmetric operators. Zbl 1338.81200
Garcia, Stephan Ramon; Prodan, Emil; Putinar, Mihai
2014
The non-commutative $$n$$th-Chern number $$(n\geq 1)$$. Zbl 1290.82016
Prodan, Emil; Leung, Bryan; Bellissard, Jean
2013
Quantum transport in disordered systems under magnetic fields: a study based on operator algebras. Zbl 1318.82041
Prodan, Emil
2013
A non-commutative formula for the isotropic magneto-electric response. Zbl 1269.82069
Leung, Bryan; Prodan, Emil
2013
Disordered topological insulators: a non-commutative geometry perspective. Zbl 1213.82082
Prodan, Emil
2011
An edge index for the quantum spin-Hall effect. Zbl 1158.81028
Prodan, Emil
2009
Topological quantization of ensemble averages. Zbl 1156.81377
Prodan, Emil
2009
The edge spectrum of Chern insulators with rough boundaries. Zbl 1298.81088
Prodan, Emil
2009
Norm estimates of complex symmetric operators applied to quantum systems. Zbl 1088.81045
Prodan, Emil; Garcia, Stephan R.; Putinar, Mihai
2006
Symmetry breaking in the self-consistent Kohn-Sham equations. Zbl 1073.81691
Prodan, E.
2005
On the Kohn-Sham equations with periodic background potentials. Zbl 1033.81079
Prodan, E.; Nordlander, P.
2003
Hartree approximation. I: The fixed point approach. Zbl 1029.82003
Prodan, E.; Nordlander, P.
2001
Hartree approximation. III: Symmetry breaking. Zbl 1029.82005
Prodan, E.; Nordlander, P.
2001
Hartree approximation. II: The thermodynamic limit. Zbl 1029.82004
Prodan, E.; Nordlander, P.
2001
Spontaneous transitions in quantum mechanics. Zbl 0992.81090
Prodan, E.
1999
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#### Cited by 211 Authors

 16 Schulz-Baldes, Hermann 11 Prodan, Emil 9 De Nittis, Giuseppe 8 Thiang, Guo Chuan 7 Gomi, Kiyonori 7 Pham Viet Hai 7 Putinar, Mihai 6 Bourne, Chris 6 Chō, Muneo 6 Lee, Jieun 6 Loring, Terry A. 5 Kellendonk, Johannes 4 Ko, Eungil 4 Panati, Gianluca 4 Rennie, Adam 3 Bachmann, Sven 3 Beckus, Siegfried 3 Bellissard, Jean V. 3 Carey, Alan L. 3 Cornean, Horia D. 3 Drouot, Alexis 3 Garcia, Stephan Ramon 3 Hayashi, Shin 3 Koma, Tohru 3 Lê Hai Khôi 3 Lein, Max 3 Lu, Jianfeng 3 Luskin, Mitchell 3 Mathai, Varghese 3 Monaco, Domenico 3 Ptak, Marek 3 Shapiro, Jacob 3 Tauber, Clément 3 Zhu, Sen 2 Amara, Zouheir 2 Ammari, Habib M. 2 Bols, Alex 2 Cedzich, Christopher 2 Chen, Bo-Hung 2 Chiou, Dah-Wei 2 De Roeck, Wojciech 2 E, Weinan 2 Fiorenza, Domenico 2 Fraas, Martin 2 Geib, T. 2 Graf, Gian Michele 2 Hannabuss, Keith C. 2 Katsura, Hosho 2 Kühne, Thomas D. 2 Liu, Ting 2 Massatt, Daniel 2 Neidhardt, Hagen 2 Nordlander, P. 2 Ortner, Christoph 2 Oudghiri, Mourad 2 Pickl, Peter 2 Porta, Marcello 2 Rehberg, Joachim 2 Sid Ahmed, Ould Ahmed Mahmoud 2 Sørensen, Adam P. W. 2 Teufel, Stefan 2 Werner, Albert H. 2 Werner, Reinhard F. 2 Zirnbauer, Martin R. 1 Adem, Alejandro 1 Agarwala, Adhip 1 Alldridge, Alexander 1 Andersson, Andreas 1 Antinucci, Giovanni 1 Antolín-Camarena, Omar 1 Aza, N. J. B. 1 Baake, Michael 1 Bal, Guillaume 1 Beiba, El Moctar Ould 1 Benedikter, Niels 1 Benhida, Chafiq 1 Benzi, Michele 1 Blecher, David P. 1 Bourne, Craig 1 Braverman, Maxim 1 Bru, Jean-Bernard 1 Bu, Qinggang 1 Bunk, Severin 1 Câmara, Maria Cristina 1 Cancès, Eric 1 Cazeaux, Paul 1 Chakraborty, Sayan 1 Chenn, Ilias 1 Chow, Yat Tin 1 Cuenin, Jean-Claude 1 Damanik, David 1 Davies, Bryn 1 Doll, Nora 1 Dürr, Detlef 1 Etter, Simon 1 Ewert, Eske Ellen 1 Exner, George R. 1 Fatehi, Mahsa 1 Fefferman, Charles Louis 1 Fikioris, George ...and 111 more Authors
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#### Cited in 60 Serials

 19 Journal of Mathematical Physics 16 Communications in Mathematical Physics 12 Annales Henri Poincaré 10 Journal of Mathematical Analysis and Applications 10 Reviews in Mathematical Physics 7 Letters in Mathematical Physics 7 Annals of Physics 6 Journal of Geometry and Physics 3 Archive for Rational Mechanics and Analysis 3 Journal of Statistical Physics 3 International Journal of Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Mathematical Physics, Analysis and Geometry 2 International Journal of Modern Physics B 2 Journal of Functional Analysis 2 Linear Algebra and its Applications 2 SIAM Journal on Scientific Computing 2 Multiscale Modeling & Simulation 2 Complex Variables and Elliptic Equations 2 Journal of Physics A: Mathematical and Theoretical 2 Annals of Functional Analysis 2 Analysis and Mathematical Physics 2 Advances in Operator Theory 1 Applicable Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Physics Letters. A 1 Canadian Mathematical Bulletin 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Communications in Partial Differential Equations 1 Potential Analysis 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 ELA. The Electronic Journal of Linear Algebra 1 Positivity 1 New Journal of Physics 1 Acta Mathematica Sinica. English Series 1 International Journal of Applied Mathematics and Computer Science 1 Journal of High Energy Physics 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 Complex Analysis and Operator Theory 1 Journal of Noncommutative Geometry 1 Albanian Journal of Mathematics 1 Banach Journal of Mathematical Analysis 1 Asian-European Journal of Mathematics 1 Journal of Nonlinear Science and Applications 1 Kyoto Journal of Mathematics 1 Journal of Spectral Theory 1 Journal de l’École Polytechnique – Mathématiques
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#### Cited in 41 Fields

 69 Quantum theory (81-XX) 68 Statistical mechanics, structure of matter (82-XX) 54 Operator theory (47-XX) 30 Functional analysis (46-XX) 26 $$K$$-theory (19-XX) 25 Partial differential equations (35-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 9 Differential geometry (53-XX) 8 Functions of a complex variable (30-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Algebraic topology (55-XX) 7 Numerical analysis (65-XX) 5 Convex and discrete geometry (52-XX) 4 Algebraic geometry (14-XX) 4 Group theory and generalizations (20-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Manifolds and cell complexes (57-XX) 4 Optics, electromagnetic theory (78-XX) 3 Topological groups, Lie groups (22-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Nonassociative rings and algebras (17-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)