A Canonical Approach to the Quantization of the Damped Harmonic Oscillator

Abstract

We provide a new canonical approach for studying the quantum mechanical damped harmonic oscillator based on the doubling of degrees of freedom approach. Explicit expressions for Lagrangians of the elementary modes of the problem, characterising both forward and backward time propagations are given. A Hamiltonian analysis, showing the equivalence with the Lagrangian approach, is also done. Based on this Hamiltonian analysis, the quantization of the model is discussed.

Revtex, 6 pages, considerably expanded with modified title and refs.; To appear in J.Phys.A

References in corpus (3)

• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• A Novel Approach to Noncommutativity in Planar Quantum Mechanics
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