Open AccessJournal Article
WKB quantization for completely bound quadratic dissipative systems
Gabriel González,H. Iván Piza +1 more
TL;DR: In this article, an effective phenomenological Hamiltonian and the WKB quantization rule were used to obtain the energy levels in the system, and an example of this approach is given for the quantum bouncer with quadratic dissipation.
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Abstract: We study the energy quantization for completely bound dissipative systems over a full cycle of motion. We approach the problem by means of an effective phenomenological Hamiltonian and the WKB quantization rule to obtain the energy levels in the system. An example of this approach is given for the quantum bouncer with quadratic dissipation.
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•Book
Classical And Quantum Dissipative Systems
Mohsen Razavy
- 01 Jan 2005
TL;DR: Phenomenological Equations of Motion for Dissipative Systems Lagrangian Hamiltonian and Hamilton-Jacobi Formulation of the Classical DissIPative Systems Noether's Theorem and Non-Noether Conservation Laws Dissipive Forces Derived from Many-Body Problems A Particle Coupled to a Field and the Damped Motion of a Central Particle coupled to a Heat Bath Quantization of dissipative systems in General and of Explicitly Time-Dependent Hamiltonians in Particular Density Matrix and the Wigner Distribution Function for Damped Systems Path Integral
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