Department of Mathematics
Royal Holloway University Of London

Jens Bolte

Dr Jens Bolte
Reader in Applied Mathematics

Department of Mathematics
Royal Holloway, University of London
Egham, Surrey TW20 0EX
United Kingdom

Tel ++44 (0) 1784 276269
Fax ++44 (0) 1784 430766

email: firstname.secondname -at-

My office is McCrea 352




Details about the courses I am teaching can be found on Moodle.



Research interests:

My general field of interest is Mathematical Physics. More specifically, my research
focusses on:

  • Quantum chaos
  • Semiclassical quantum mechanics
  • Dirac operators
  • Spin-orbit coupling problems
  • Quantum graphs
  • Eigenvalue correlations and Random Matrix Theory


 More details can be found here.



Selected publications:

(A full list of my publications can be found here.)

J. Bolte, G. Garforth: "Solvable models of interacting n-particle systems on quantum graphs",  

J. Bolte, S.Egger, S. Keppeler: "The Berry-Keating operator on a lattice", J. Phys. A: Math. Theor. 50 (2017) 105201,

J. Bolte, G. Garforth: "Exactly solvable two-particle quantum graphs", J. Phys. A: Math. Theor. 50 (2017) 105101,

J. Bolte, S. Egger, S. Keppeler: "A Gutzwiller trace formula for large hermitian matrices",

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,

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,

J. Bolte, J. Kerner: "Many-particle quantum graphs and Bose-Einstein condensation", J. Math. Phys. 55 (2014) 061901,

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

J. Bolte, S. Keppeler: "Heat kernel asymptotics for magnetic Schrödinger operators", J. Math. Phys. 54 (2013) 112104,

J. Bolte, J. Kerner: "Quantum graphs with two-particle contact interactions", J. Phys. A: Math. Theor. 46 (2013) 0452067,

J. Bolte, J. Kerner: "Quantum graphs with singular two-particle interactions", J. Phys. A: Math. Theor. 46 (2013) 045206,

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

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

J. Bolte, D. Waltner: "Semiclassical theory of ballistic transport through chaotic cavities with spin-orbit interaction", Phys. Rev. B76 (2007) 075330, Bolte, T. Schwaibold: "Stability of wave packet dynamics under perturbations", Phys. Rev. E73 (2006) 026223,

J. Bolte, R. Glaser: "Semiclassical propagation of coherent states with spin-orbit interaction", Ann. H. Poincare 6 (2005) 625-656,

J. Bolte, R. Glaser: "A semiclassical Egorov theorem and quantum ergodicity for matrix valued operators", Commun. Math. Phys. 247 (2004) 391-419,

J. Bolte, J. Harrison: "Spectral statistics for the Dirac operator on graphs", J. Phys. A: Math. Gen. 36 (2003) 2747-2769,

J. Bolte, R. Glaser: "Quantum ergodicity for Pauli Hamiltonians with spin 1/2", Nonlinearity 13 (2000) 1987-2003,

J. Bolte, S. Johansson: "A spectral correspondence for Maass waveforms", Geom. func. Anal. 9 (1999) 1128-1155,

J. Bolte, S. Keppeler: "A semiclassical approach to the Dirac equation", Ann. Phys. (NY)  274 (1999) 125-162,

J. Bolte: "Semiclassical trace formulae and eigenvalue statistics in quantum chaos", Open Sys. & Information Dyn. 6 (1999) 167-226,

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

J. Bolte: "Some studies on arithmetical chaos in classical and quantum mechanics", Int. J. Mod. Phys. B7 (1993) 4451-4553,

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




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