Rabin Banerjee and Pradip Mukherjee 2002 J. Phys. A: Math. Gen. 35 5591 doi:10.1088/0305-4470/35/27/305
A canonical approach to the quantization of the damped harmonic oscillator
Rabin Banerjee1 and Pradip Mukherjee2
Show affiliationsWe 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, characterizing both forward and backward time propagation, 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.
- PACS
- MSC
-
81Qxx General mathematical topics and methods in quantum theory
- Subjects
- Dates
-
Issue 27 (12 July 2002)
Received 19 February 2002, in final form 8 May 2002
Published 28 June 2002
-
A canonical approach to the quantization of the damped harmonic oscillator
Rabin Banerjee and Pradip Mukherjee 2002 J. Phys. A: Math. Gen. 35 5591
-
Photoionization-Driven X-Ray Line Emission in Cygnus X-3
Duane A. Liedahl and Frits Paerels 1996 ApJ 468 L33
-
The diamagnetic Coulomb problem: an eigenvalue problem with two singularities
S Barcza 2005 J. Phys. A: Math. Gen. 38 2469
-
Properties of the solvation force of a two-dimensional Ising strip in scaling regimes
Piotr Nowakowski and Marek Napiórkowski 2009 J. Phys. A: Math. Theor. 42 475005
-
Optical and acoustic properties at 1064 nm of polyvinyl chloride-plastisol for use as a tissue phantom in biomedical optoacoustics
Gloria M Spirou et al 2005 Phys. Med. Biol. 50 N141
-
The Coronae of Moderate-Mass Giants in the Hertzsprung Gap and the Clump
Thomas R. Ayres et al. 1998 ApJ 496 428
-
Arc attachment and fall voltage on the cathode of an ac high-pressure mercury discharge
H Pursch et al 2002 J. Phys. D: Appl. Phys. 35 1757
-
Theory of powdery rubber wear
B N J Persson 2009 J. Phys.: Condens. Matter 21 485001
-
Space-like submanifolds in de Sitter spaces
Ximin Liu 2001 J. Phys. A: Math. Gen. 34 5463
-
Astrophysical Significance of Asymptotic Giant Branch Stellar Wind Energies Recorded in Meteoritic SiC Grains
A. B. Verchovsky et al. 2004 ApJ 607 611
Related review articles
What's this?- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
- Spectral problems in open quantum chaos
- Lectures on localization and matrix models in supersymmetric Chern–Simons-matter theories
super-Yang–Mills*