# zbMATH — the first resource for mathematics

## Bolte, Jens

Compute Distance To:
 Author ID: bolte.jens Published as: Bolte, Jens; Bolte, J. Homepage: https://www.ma.rhul.ac.uk/jbolte External Links: MGP
 Documents Indexed: 41 Publications since 1990, including 1 Book
all top 5

#### Co-Authors

 4 single-authored 7 Keppeler, Stefan 7 Steiner, Frank 6 Egger, Sebastian 6 Kerner, Joachim 5 Glaser, Rainer 3 Harrison, Jonathan 2 Garforth, George 2 Lemurell, Stefan 1 Aurich, Ralf 1 Cardanobile, Stefano 1 Grosche, Christian 1 Matthies, Claudia 1 Mugnolo, Delio 1 Nittka, Robin 1 Rückriemen, Ralf 1 Sieber, Martin 1 Stiepan, Hans-Michael
all top 5

#### Serials

 5 Journal of Physics A: Mathematical and General 4 Communications in Mathematical Physics 4 Journal of Mathematical Physics 4 Journal of Physics A: Mathematical and Theoretical 3 Annales Henri Poincaré 2 Nonlinearity 2 Annals of Physics 2 Physical Review Letters 1 International Journal of Modern Physics B 1 Reviews in Mathematical Physics 1 Physica D 1 Geometric and Functional Analysis. GAFA 1 Open Systems & Information Dynamics 1 AMRX. Applied Mathematics Research eXpress 1 London Mathematical Society Lecture Note Series
all top 5

#### Fields

 32 Quantum theory (81-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Number theory (11-XX) 6 Partial differential equations (35-XX) 4 Operator theory (47-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Group theory and generalizations (20-XX) 3 Mechanics of particles and systems (70-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

32 Publications have been cited 219 times in 127 Documents Cited by Year
The trace formula for quantum graphs with general self adjoint boundary conditions. Zbl 1207.81028
Bolte, Jens; Endres, Sebastian
2009
Spectral statistics for the Dirac operator on graphs. Zbl 1038.05057
Bolte, Jens; Harrison, Jonathan
2003
A semiclassical approach to the Dirac equation. Zbl 0940.35173
Bolte, Jens; Keppeler, Stefan
1999
Quantum graphs with singular two-particle interactions. Zbl 1267.81163
Bolte, Jens; Kerner, Joachim
2013
Quantum graphs with two-particle contact interactions. Zbl 1267.81164
Bolte, Jens; Kerner, Joachim
2013
Arithmetical chaos and violation of universality in energy level statistics. Zbl 0968.81515
Bolte, J.; Steil, G.; Steiner, F.
1992
Determinants of Laplace-like operators on Riemann surfaces. Zbl 0704.58053
Bolte, J.; Steiner, F.
1990
A semiclassical Egorov theorem and quantum ergodicity for matrix valued operators. Zbl 1067.82036
Bolte, Jens; Glaser, Rainer
2004
Semiclassical time evolution and trace formula for relativistic spin-$$1/2$$ particles. Zbl 0947.81020
Bolte, Jens; Keppeler, Stefan
1998
Many-particle quantum graphs and Bose-Einstein condensation. Zbl 1296.82021
Bolte, Jens; Kerner, Joachim
2014
A spectral correspondence for Maaß waveforms. Zbl 0993.11025
Bolte, J.; Johansson, S.
1999
Semiclassical form factor for chaotic systems with spin $$\frac 12$$. Zbl 0966.81020
Bolte, Jens; Keppeler, Stefan
1999
Exactly solvable interacting two-particle quantum graphs. Zbl 1361.81060
Bolte, Jens; Garforth, George
2017
Heat-kernel and resolvent asymptotics for Schrödinger operators on metric graphs. Zbl 1310.81071
Bolte, Jens; Egger, Sebastian; Rueckriemen, Ralf
2015
Instability of Bose-Einstein condensation into the one-particle ground state on quantum graphs under repulsive perturbations. Zbl 1337.81140
Bolte, Jens; Kerner, Joachim
2016
Quantum and classical ergodicity of spinning particles. Zbl 0984.81047
Bolte, Jens; Glaser, Rainer; Keppeler, Stefan
2001
Flux quantization and quantum mechanics on Riemann surfaces in an external magnetic field. Zbl 0749.58049
Bolte, J.; Steiner, F.
1991
The Selberg trace formula for bordered Riemann surfaces. Zbl 0791.58103
Bolte, J.; Steiner, F.
1993
Some studies on arithmetical chaos in classical and quantum mechanics. Zbl 0810.70016
Bolte, Jens
1993
Selberg trace formula for bordered Riemann surfaces: Hyperbolic, elliptic and parabolic conjugacy classes, and determinants of Maass-Laplacians. Zbl 0837.11033
Bolte, Jens; Grosche, Christian
1994
Trace formulae for quantum graphs. Zbl 1153.81493
Bolte, Jens; Endres, Sebastian
2008
Zitterbewegung and semiclassical observables for the Dirac equation. Zbl 1062.81055
Bolte, Jens; Glaser, Rainer
2004
The Selberg trace formula for Dirac operators. Zbl 1112.58031
Bolte, Jens; Stiepan, Hans-Michael
2006
Heat kernel asymptotics for magnetic Schrödinger operators. Zbl 1284.81106
Bolte, Jens; Keppeler, Stefan
2013
Periodic orbits in arithmetical chaos on hyperbolic surfaces. Zbl 0791.58066
Bolte, Jens
1993
Theta-lifts of Maass waveforms. Zbl 0996.11039
Bolte, Jens; Johansson, Stefan
1999
Crossing the entropy barrier of dynamical zeta functions. Zbl 0767.58035
Aurich, R.; Bolte, J.; Matthies, C.; Sieber, M.; Steiner, F.
1993
The spin contribution to the form factor of quantum graphs. Zbl 1047.81035
Bolte, Jens; Harrison, Jonathan
2003
Zero modes of quantum graph Laplacians and an index theorem. Zbl 1312.81079
Bolte, Jens; Egger, Sebastian; Steiner, Frank
2015
Quantum ergodicity for Pauli Hamiltonians with spin $$1/2$$. Zbl 1041.81529
Bolte, Jens; Glaser, Rainer
2000
Bose-Einstein condensation on quantum graphs. Zbl 1342.82132
Bolte, J.; Kerner, J.
2015
Semiclassical propagation of coherent states with spin-orbit interaction. Zbl 1086.81045
Bolte, Jens; Glaser, Rainer
2005
Exactly solvable interacting two-particle quantum graphs. Zbl 1361.81060
Bolte, Jens; Garforth, George
2017
Instability of Bose-Einstein condensation into the one-particle ground state on quantum graphs under repulsive perturbations. Zbl 1337.81140
Bolte, Jens; Kerner, Joachim
2016
Heat-kernel and resolvent asymptotics for Schrödinger operators on metric graphs. Zbl 1310.81071
Bolte, Jens; Egger, Sebastian; Rueckriemen, Ralf
2015
Zero modes of quantum graph Laplacians and an index theorem. Zbl 1312.81079
Bolte, Jens; Egger, Sebastian; Steiner, Frank
2015
Bose-Einstein condensation on quantum graphs. Zbl 1342.82132
Bolte, J.; Kerner, J.
2015
Many-particle quantum graphs and Bose-Einstein condensation. Zbl 1296.82021
Bolte, Jens; Kerner, Joachim
2014
Quantum graphs with singular two-particle interactions. Zbl 1267.81163
Bolte, Jens; Kerner, Joachim
2013
Quantum graphs with two-particle contact interactions. Zbl 1267.81164
Bolte, Jens; Kerner, Joachim
2013
Heat kernel asymptotics for magnetic Schrödinger operators. Zbl 1284.81106
Bolte, Jens; Keppeler, Stefan
2013
The trace formula for quantum graphs with general self adjoint boundary conditions. Zbl 1207.81028
Bolte, Jens; Endres, Sebastian
2009
Trace formulae for quantum graphs. Zbl 1153.81493
Bolte, Jens; Endres, Sebastian
2008
The Selberg trace formula for Dirac operators. Zbl 1112.58031
Bolte, Jens; Stiepan, Hans-Michael
2006
Semiclassical propagation of coherent states with spin-orbit interaction. Zbl 1086.81045
Bolte, Jens; Glaser, Rainer
2005
A semiclassical Egorov theorem and quantum ergodicity for matrix valued operators. Zbl 1067.82036
Bolte, Jens; Glaser, Rainer
2004
Zitterbewegung and semiclassical observables for the Dirac equation. Zbl 1062.81055
Bolte, Jens; Glaser, Rainer
2004
Spectral statistics for the Dirac operator on graphs. Zbl 1038.05057
Bolte, Jens; Harrison, Jonathan
2003
The spin contribution to the form factor of quantum graphs. Zbl 1047.81035
Bolte, Jens; Harrison, Jonathan
2003
Quantum and classical ergodicity of spinning particles. Zbl 0984.81047
Bolte, Jens; Glaser, Rainer; Keppeler, Stefan
2001
Quantum ergodicity for Pauli Hamiltonians with spin $$1/2$$. Zbl 1041.81529
Bolte, Jens; Glaser, Rainer
2000
A semiclassical approach to the Dirac equation. Zbl 0940.35173
Bolte, Jens; Keppeler, Stefan
1999
A spectral correspondence for Maaß waveforms. Zbl 0993.11025
Bolte, J.; Johansson, S.
1999
Semiclassical form factor for chaotic systems with spin $$\frac 12$$. Zbl 0966.81020
Bolte, Jens; Keppeler, Stefan
1999
Theta-lifts of Maass waveforms. Zbl 0996.11039
Bolte, Jens; Johansson, Stefan
1999
Semiclassical time evolution and trace formula for relativistic spin-$$1/2$$ particles. Zbl 0947.81020
Bolte, Jens; Keppeler, Stefan
1998
Selberg trace formula for bordered Riemann surfaces: Hyperbolic, elliptic and parabolic conjugacy classes, and determinants of Maass-Laplacians. Zbl 0837.11033
Bolte, Jens; Grosche, Christian
1994
The Selberg trace formula for bordered Riemann surfaces. Zbl 0791.58103
Bolte, J.; Steiner, F.
1993
Some studies on arithmetical chaos in classical and quantum mechanics. Zbl 0810.70016
Bolte, Jens
1993
Periodic orbits in arithmetical chaos on hyperbolic surfaces. Zbl 0791.58066
Bolte, Jens
1993
Crossing the entropy barrier of dynamical zeta functions. Zbl 0767.58035
Aurich, R.; Bolte, J.; Matthies, C.; Sieber, M.; Steiner, F.
1993
Arithmetical chaos and violation of universality in energy level statistics. Zbl 0968.81515
Bolte, J.; Steil, G.; Steiner, F.
1992
Flux quantization and quantum mechanics on Riemann surfaces in an external magnetic field. Zbl 0749.58049
Bolte, J.; Steiner, F.
1991
Determinants of Laplace-like operators on Riemann surfaces. Zbl 0704.58053
Bolte, J.; Steiner, F.
1990
all top 5

#### Cited by 176 Authors

 12 Kerner, Joachim 9 Bolte, Jens 4 Grosche, Christian 3 Bao, Weizhu 3 Hurt, Norman E. 3 Jakobson, Dmitry 3 Keating, Jonathan P. 3 Keppeler, Stefan 3 Maciążek, Tomasz 3 Mugnolo, Delio 3 Teufel, Stefan 3 Then, Holger 3 Yang, Chuanfu 2 Band, Ram 2 Berkolaiko, Gregory 2 Booker, Andrew R. 2 Borrelli, William 2 Carlone, Raffaele 2 Egger, Sebastian 2 Freitas, Pedro 2 Furutani, Kenro 2 Garforth, George 2 Gong, Donggeng 2 Harrison, Jon M. 2 Huang, Liang 2 Hussein, Amru 2 Kordyukov, Yuri A. 2 Lai, Yingcheng 2 Lemurell, Stefan 2 Lipovský, Jiří 2 Melnikov, Yuri B. 2 Mühlenbruch, Tobias 2 Odžak, Almasa 2 Pechmann, Maximilian 2 Rückriemen, Ralf 2 Sabri, Mostafa 2 Sawicki, Adam 2 Šćeta, Lamija 2 Spohn, Herbert 2 Stiepan, Hans-Michael 2 Strohmaier, Alexander 2 Strömbergsson, Andreas 2 Tentarelli, Lorenzo 2 Turuntaeva, Irina V. 2 Yin, Jia 1 Adamyan, Vadym Movsesovych 1 Ahmadi Kakavandi, Bijan 1 Alexandrou, Constantia 1 Alsina, Montserrat 1 An, Byung Hee 1 Anantharaman, Nalini 1 Andersen, Jørgen Ellegaard 1 Arakawa, Tsuneo 1 Assal, Marouane 1 Aurich, Ralf 1 Awonusika, Richard Olu 1 Bäcker, Arnd 1 Balslev, Erik 1 Bauer, Wolfram 1 Bergeron, Nicolas 1 Bernardini, Alex E. 1 Blackman, Terrence Richard 1 Bogomolny, E. B. 1 Bondarenko, Natalia P. 1 Bordeaux Montrieux, William 1 Braun, Petr A. 1 Brewer, Cerian 1 Brüning, Jochen 1 Cacciapuoti, Claudio 1 Cai, Yongyong 1 Chatzakos, Dimitrios 1 Crampé, Nicolas 1 Creagh, Stephen C. 1 Cunden, Fabio Deelan 1 de Gosson, Serge M. 1 de Toledo Piza, A. F. R. 1 El-Nabulsi, Rami Ahmad 1 Exner, Pavel 1 Finski, Siarhei 1 Fucci, Guglielmo 1 Gamburd, Alexander 1 Gat, Omri 1 Georgeot, Bertrand 1 Giannoni, Marie-Joya 1 Glaser, Rainer 1 Goodman, Roy H. 1 Grebogi, Celso 1 Grunewald, Fritz J. 1 Guhr, Thomas 1 Guzzo, Marcelo M. 1 Hofmann, Matthias 1 Hu, Yiteng 1 Huang, Zhenyou 1 Huang, Zhongyi 1 Huntebrinker, Wolfgang 1 Ingremeau, Maxime 1 Ivanov, O. M. 1 Jia, Xiaowei 1 Jin, Shi 1 Jorgenson, Jay Alan ...and 76 more Authors
all top 5

#### Cited in 66 Serials

 14 Communications in Mathematical Physics 11 Journal of Mathematical Physics 6 Annales Henri Poincaré 4 Reviews in Mathematical Physics 4 Integral Equations and Operator Theory 4 Journal of Number Theory 3 Journal of Geometry and Physics 3 Annals of Physics 3 Journal of Physics A: Mathematical and Theoretical 2 Journal of Computational Physics 2 Reports on Mathematical Physics 2 Mathematics of Computation 2 Annales de l’Institut Fourier 2 Duke Mathematical Journal 2 Journal of Differential Equations 2 Results in Mathematics 2 Transactions of the American Mathematical Society 2 Journal of Scientific Computing 2 The Journal of Geometric Analysis 2 Communications in Partial Differential Equations 1 Applicable Analysis 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Nonlinearity 1 Nuclear Physics. B 1 Physics Reports 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Chaos, Solitons and Fractals 1 Fortschritte der Physik 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Quaestiones Mathematicae 1 Physica D 1 Asymptotic Analysis 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 Experimental Mathematics 1 Russian Journal of Mathematical Physics 1 St. Petersburg Mathematical Journal 1 Electronic Research Announcements of the American Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 LMS Journal of Computation and Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Russian Physics Journal 1 Journal of High Energy Physics 1 Physical Review Letters 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Physical Review E. Third Series 1 International Journal of Geometric Methods in Modern Physics 1 Mediterranean Journal of Mathematics 1 Operators and Matrices 1 Communications in Theoretical Physics 1 São Paulo Journal of Mathematical Sciences 1 Physical Review A, Third Series 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Symmetry 1 Analysis and Mathematical Physics 1 Research in the Mathematical Sciences
all top 5

#### Cited in 36 Fields

 77 Quantum theory (81-XX) 30 Global analysis, analysis on manifolds (58-XX) 27 Partial differential equations (35-XX) 24 Number theory (11-XX) 21 Operator theory (47-XX) 19 Ordinary differential equations (34-XX) 18 Statistical mechanics, structure of matter (82-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Functions of a complex variable (30-XX) 7 Differential geometry (53-XX) 6 Numerical analysis (65-XX) 4 Manifolds and cell complexes (57-XX) 3 Topological groups, Lie groups (22-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-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 Optics, electromagnetic theory (78-XX)