A complete quantum solution proves 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.
CITATION STYLE
Kleppner, D., & Delos, J. B. (2001). Beyond quantum mechanics: Insights from the work of Martin Gutzwiller. Foundations of Physics, 31(4), 593–612. https://doi.org/10.1023/A:1017512925106
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