Foundations of Physics

, Volume 31, Issue 4, pp 593–612

Beyond Quantum Mechanics: Insights from the Work of Martin Gutzwiller

  • Daniel Kleppner
  • John B. Delos

DOI: 10.1023/A:1017512925106

Cite this article as:
Kleppner, D. & Delos, J.B. Foundations of Physics (2001) 31: 593. doi:10.1023/A:1017512925106


A complete quantum solution provides all possible knowledge of a system, whereas semiclassical theory provides at best approximate solutions in a limited region. Nevertheless, semiclassical methods based on the work of Martin Gutzwiller can provide stunning physical insights in regimes where quantum solutions are opaque. Furthermore, they can provide a unique bridge between the quantum and classical worlds. We illustrate these ideas with an account of a theoretical and experimental attack on the paradigm problem of the hydrogen atom in strong magnetic and electric fields.

Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • Daniel Kleppner
    • 1
  • John B. Delos
    • 2
  1. 1.Department of PhysicsMassachusetts Institute of TechnologyCambridge
  2. 2.Department of PhysicsCollege of William and MaryWilliamsburg