Beyond Quantum Mechanics: Insights from the Work of Martin Gutzwiller
- Cite this article as:
- Kleppner, D. & Delos, J.B. Foundations of Physics (2001) 31: 593. doi:10.1023/A:1017512925106
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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.