Abstract
The state of a quantum-mechanical system at any fixed time t is uniquely described by its complex-valued wave function ψ(q, t), where q represents one-half of a canonically conjugate coordinate system (p, q). Besides being square-integrable, and satisfying certain boundary conditions which depend on the problem at hand, the wave function ψ(q, t) at a fixed time t is subject to few restrictions. Of course, when the time is allowed to vary, ψ has to satisfy Schrödinger’s equation (Equ (13.1)) with a well-defined real-valued potential V(q, t).
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© 1990 Springer Science+Business Media New York
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Gutzwiller, M.C. (1990). Wave Functions in Classically Chaotic Systems. 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_16
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DOI: https://doi.org/10.1007/978-1-4612-0983-6_16
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6970-0
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