Abstract
Since our physical intuition is so firmly grounded in classical mechanics, we have little choice but to advance as far as we can into quantum mechanics along the trails that can be laid out with the help of classical mechanics. To be of help in our context, they have to be usable for regular as well as chaotic dynamical systems, and, therefore, they differ from the ones in most textbooks. The two main guideposts are the classical approximation for the quantum-mechanical propagator in position space and time, as first proposed by Van Vleck in 1928, and the consistent use of the stationary phase method whenever an integral has to be evaluated.
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© 1990 Springer Science+Business Media New York
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Gutzwiller, M.C. (1990). The Transition from Classical to Quantum Mechanics. In: Chaos in Classical and Quantum Mechanics. Interdisciplinary Applied Mathematics, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0983-6_13
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DOI: https://doi.org/10.1007/978-1-4612-0983-6_13
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6970-0
Online ISBN: 978-1-4612-0983-6
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