Department of Mathematics
Royal Holloway University Of London

Publications

53. J. Bolte, G. Garforth: "Solvable models of interacting n-particle systems on quantum graphs", http://arxiv.org/abs/1704.00469  

52. J. Bolte, S. Egger, S. Keppeler: "The Berry-Keating operator on a lattice", J. Phys. A: Math. Theor. 50 (2017) 105201, http://arxiv.org/abs/1610.06472

51. J. Bolte, G. Garforth: "Exactly solvable two-particle quantum graphs", J. Phys. A: Math. Theor. 50 (2017) 105101, http://arxiv.org/abs/1609.00828 

50. J. Bolte, S. Egger, S. Keppeler: "A Gutzwiller trace formula for large hermitian matrices", Rev. Math. Phys. 29 (2017) 1750027,   http://arxiv.org/abs/1512.05984

49. J. Bolte, J. Kerner: "Instability of Bose-Einstein Condensation into the one-particle ground state on quantum graphs under repulsive perturbations", J. Math. Phys. 57 (2016) 043301, http://arxiv.org/abs/1411.7330 

48. J. Bolte, S. Egger, R. Rueckriemen: "Heat-kernel and resolvent asymptotics for Schrödinger operators on metric graphs", Appl. Math. Res. Express 1 (2015) 129-165, http://arxiv.org/abs/1406.1045 

47. J. Bolte, J. Kerner: "Bose-Einstein condensation on quantum graphs", in: Mathematical Results in Quantum Mechanics: Proceedings of the QMath12 Conference, World Scientific, Singapore (2015), http://arxiv.org/abs/1403.0271

46. J. Bolte, J. Kerner: "Many-particle quantum graphs and Bose-Einstein condensation", J. Math. Phys. 55 (2014) 061901, http://arxiv.org/abs/1309.6091

45. J. Bolte, S. Egger, F. Steiner: "Zero modes for quantum graph Laplacians and an index theorem", Ann. H. Poincare 16 (2015) 1155-1189, http://arxiv.org/abs/1311.5485

44. J. Bolte, S. Keppeler: "Heat kernel asymptotics for magnetic Schrödinger operators", J. Math. Phys. 54 (2013) 112104,  http://arxiv.org/abs/1305.4106

43. J. Bolte, J. Kerner: "Quantum graphs with two-particle contact interactions", J. Phys. A: Math. Theor. 46 (2013) 0452067,  http://arxiv.org/abs/1207.5648

42. J. Bolte, J. Kerner: "Quantum graphs with singular two-particle interactions", J. Phys. A: Math. Theor. 46 (2013) 045206, http://arxiv.org/abs/1112.4751

41. J. Bolte, F. Steiner (eds.): "Quantum Chaos on Hyperbolic Manifolds", LMS Lecture Notes, Cambridge University Press, 281 pages (2012)

40. J. Bolte, S. Endres: "The trace formula for quantum graphs with general self adjoint boundary conditions", Ann. H. Poincare 10 (2009) 189-223, http://arxiv.org/abs/0805.3111

39. J. Bolte, S. Cardanobile, D. Mugnolo, R. Nittka: "Symmetries in quantum graphs", in: W. Arendt, W. Schleich (eds): Mathematical Analysis of Evolution, Information, and Complexity, pp 181-196, Wiley-VCH (Weinheim, 2009)

38. U. Zuelicke, R. Winkler, J. Bolte: "Nanospintronics meets relativictic quantum physics: Ubiquity of Zitterbewegung effects", Physica E40 (2008) 1434-1435, http://arxiv.org/abs/0707.3701

37. J. Bolte and S. Endres: "Trace formulae for quantum graphs", in: P. Exner, J. Keating, P. Kuchment, T. Sunada und A. Teplyaev (eds): Analysis on Graphs and Their Applications. Proc. Symp. Pure Math., vol 77, pp 247-259. AMS (Providence, 2008)

36. U. Zuelicke, J. Bolte, R. Winkler: "Magnetic focusing of charge carriers from spin-split bands: Semiclassics of a Zitterbewegung effect", New J. Phys. 9 (2007) 355, http://arxiv.org/abs/0705.1741

35. J. Bolte, D. Waltner: "Semiclassical theory of ballistic transport through chaotic cavities with spin-orbit interaction", Phys. Rev. B76 (2007) 075330, http://arxiv.org/abs/0704.2702

34. R. Winkler, U. Zuelicke, J. Bolte: "Oscillatory multiband dynamics of free particles: The ubiquity of Zitterbewegung effects". Phys. Rev. B75 (2007) 205314, http://arxiv.org/abs/cond-mat/0609005

33. J. Bolte, H.-M. Stiepan: "The Selberg trace formula for Dirac operators", J. Math. Phys. 47 (2006) 11210, http://arxiv.org/abs/math-ph/0607010

32. J. Bolte, J. Harrison: "The spectral form factor for quantum graphs with spin-orbit coupling", in: G. Berkolaiko, R. Carlson, S. A. Fulling, P. Kuchment (eds): Quantum Graphs and Their Applications, Contemporary Mathematics, vol 415, pp 51-64, AMS (Providence, 2006)

31. J. Bolte, T. Schwaibold: "Stability of wave packet dynamics under perturbations", Phys. Rev. E73 (2006) 026223, http://arxiv.org/abs/nlin/0509016

30. J. Bolte: "Semiclassics and propagation of coherent states for spin-orbit coupling problems", in: F. Khanna, D. Matrasulov (eds): Non-Linear Dynamics and Fundamental Interactions, NATO Science Series, II. Mathematics, Physics and Chemistry, vol 213, pp 89-100, Springer (Dordrecht, 2006)

29. J. Bolte, R. Glaser: "Semiclassical propagation of coherent states with spin-orbit interaction", Ann. H. Poincare 6 (2005) 625-656, http://arxiv.org/abs/math-ph/0403030

28. J. Bolte, R. Glaser: "Zitterbewegung and semiclassical observables for the Dirac equation", J. Phys. A: Math. Gen. 37 (2004) 6359-6373, http://arxiv.org/abs/quant-ph/0402154

27. J. Bolte, R. Glaser: "Semiclassical time evolution and quantum ergodicity for Dirac-Hamiltonians", in: D. Iagolnitzer, V. Rivasseau, J. Zinn-Justin (eds): International Conference on Theoretical Physics, Birkhauser (Basel, 2004), http://arxiv.org/abs/math-ph/0212028

26. J. Bolte, R. Glaser: "A semiclassical Egorov theorem and quantum ergodicity for matrix valued operators", Commun. Math. Phys. 247 (2004) 391-419, http://arxiv.org/abs/math-ph/0204018

25. J. Bolte, J. Harrison: "The spin contribution to the form factor of quantum graphs", J. Phys. A: Math. Gen. 36 (2003) L433-L440, http://arxiv.org/abs/nlin/0304046

24. J. Bolte, J. Harrison: "Spectral statistics for the Dirac operator on graphs", J. Phys. A: Math. Gen. 36 (2003) 2747-2769, http://arxiv.org/abs/nlin/0210029

23. J. Bolte, R. Glaser, S. Keppeler: Comment on: "Semiclassical theory of spin-orbit interactions using spin coherent states", http://arxiv.org/abs/nlin/0208031

22. J. Bolte: "The Gutzwiller trace formula for quantum systems with spin", in: B. Kramer (ed): Advances in Solid States Physics, vol 41, pp 447-458,Springer (Heidelberg, 2001), http://arxiv.org/abs/nlin/0104028

21. J. Bolte, R. Glaser, S. Keppeler: "Quantum and classical ergodicity of spinning particles", Ann. Phys. (NY) 293 (2001) 1-14, http://arxiv.org/abs/nlin/0101022

20. J. Bolte: "Semiclassical expectation values for relativistic particles with spin 1/2", Found. Phys. 31 (2001) 423-444, http://arxiv.org/abs/nlin/0009052

19. J. Bolte, R. Glaser: "Quantum ergodicity for Pauli Hamiltonians with spin 1/2", Nonlinearity 13 (2000) 1987-2003, http://arxiv.org/abs/math-ph/0004007jboltepublications

18. J. Bolte, B. Mueller, A. Schaefer: "Ergodic properties of classical SU(2) lattice gauge theory", Phys. Rev. D61 (2000) 054506, http://arxiv.org/abs/hep-lat/9906037

17. J. Bolte, S. Keppeler: "Semiclassical form factor for chaotic systems with spin 1/2", J. Phys. A: Math. Gen. 32 (1999) 8863-8880, http://arxiv.org/abs/chao-dyn/9909026

16. J. Bolte, S. Johansson: "A spectral correspondence for Maass waveforms", Geom. func. Anal. 9 (1999) 1128-1155, http://arxiv.org/abs/math/9805018

15. J. Bolte, S. Keppeler: "A semiclassical approach to the Dirac equation", Ann. Phys. (NY)  274 (1999) 125-162, http://arxiv.org/abs/quant-ph/9811025

14. J. Bolte, S.Johansson: "Theta-lifts of Maass waveforms", in: D.A. Hejhal, J. Friedman, M.C. Gutzwiller, A. Odlyzko (eds): Emerging Applications of Number Theory, The IMA Volumes in Mathematics and its Applications, vol 109, pp 39-72, Springer (New York, 1999)

13. J. Bolte: "Semiclassical trace formulae and eigenvalue statistics in quantum chaos", Open Sys. & Information Dyn. 6 (1999) 167-226, http://arxiv.org/abs/chao-dyn/9702003

12. J. Bolte, S. Keppeler: "Semiclassical time evolution and trace formula for relativistic spin-1/2 particles", Phys. Rev. Lett. 81 (1998) 1987-1991, http://arxiv.org/abs/quant-ph/9805041

11. R. Aurich, J. Bolte, F. Steiner: "Universal signatures of quantum chaos", Phys. Rev. Lett. 73 (1994) 1356-1359

10. J. Bolte, C. Grosche: "Selberg trace formula for bordered Riemann surfaces: hyperbolic, elliptic and parabolic conjugacy classes, and determinants of Maass-Laplacians", Commun. Math. Phys. 163 (1994) 217-244

9. J. Bolte: "Some studies on arithmetical chaos in classical and quantum mechanics", Int. J. Mod. Phys. B7 (1993) 4451-4553, http://arxiv.org/abs/chao-dyn/9305005

8. J. Bolte: "Periodic orbits in arithmetical chaos on hyperbolic surfaces", Nonlinearity 6 (1993) 935-951

7. R. Aurich, J. Bolte, C. Matthies, M. Sieber, F. Steiner: "Crossing the entropy barrier of dynamical zeta functions", Physica D63 (1993) 71-86

6. J. Bolte, F. Steiner: "The Selberg trace formula for bordered Riemann surfaces", Commun. Math. Phys. 156 (1993) 1-16

5. R. Aurich, J. Bolte: "Quantization rules for strongly chaotic systems", Mod. Phys. Lett. B6 (1992) 1691-1719

4. J. Bolte, G. Steil, F. Steiner: "Ajboltepublicationsrithmetical chaos and violation of universality in energy level statistics", Phys. Rev. Lett. 69 (1992) 2188-2191

3. J. Bolte, F. Steiner: "Flux quantization and quantum mechanics on Riemann surfaces in an external magnetic field", J. Phys. A: Math. Gen. 24 (1991) 3817-3823

2. J. Bolte, F. Steiner: "The on-shell limit of bosonic off-shell string scattering amplitudes", Nucl. Phys. B361 (1991) 451-468

1. J. Bolte, F. Steiner: "Determinants of Laplace-like operators on Riemann surfaces", Commun. Math. Phys. 130 (1990) 581-597

 

 

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Department of Mathematics, Royal Holloway, University of London, Egham, Surrey TW20 0EX
Tel/Fax: +44 (0)1784 443093/430766