Beyond quantum mechanics: Insights from the work of Martin Gutzwiller

Citation
D. Kleppner et Jb. Delos, Beyond quantum mechanics: Insights from the work of Martin Gutzwiller, FOUND PHYS, 31(4), 2001, pp. 593-612
Citations number
65
Categorie Soggetti
Physics
Journal title
FOUNDATIONS OF PHYSICS
ISSN journal
00159018 → ACNP
Volume
31
Issue
4
Year of publication
2001
Pages
593 - 612
Database
ISI
SICI code
0015-9018(200104)31:4<593:BQMIFT>2.0.ZU;2-B
Abstract
A complete quantum solution provides all possible knowledge of a system, wh ereas semiclassical theory provides at best approximate solutions in a limi ted 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 betwee n the quantum and classical worlds. We illustrate these ideas with an accou nt of a theoretical and experimental attack on the paradigm problem of the hydrogen atom in strong magnetic and electric fields.