Exact Quantum Theory Solution for the Damped Harmonic Oscillator

1956 ◽  
Vol 101 (6) ◽  
pp. 1619-1620 ◽  
Author(s):  
J. Weber
Keyword(s):  
Quantum Theory ◽  
Harmonic Oscillator ◽  
Damped Harmonic Oscillator ◽  
Exact Quantum ◽  
Theory Solution

scholarly journals QUANTUM THEORY OF A DAMPED HARMONIC OSCILLATOR SIMULATING LASER OPEN SYSTEM

1982 ◽  
Vol 31 (11) ◽  
pp. 1569
Author(s):  
TAN WEI-HAN ◽  
WANG XUE-WEN ◽  
XIE CHENG-GANG ◽  
ZHANG GUAN-MEI
Keyword(s):  
Quantum Theory ◽  
Harmonic Oscillator ◽  
Open System ◽  
Damped Harmonic Oscillator

Quantum theory of the damped harmonic oscillator

1984 ◽  
Vol 55 (1) ◽  
pp. 87-94 ◽  
Author(s):  
Hermann Grabert ◽  
Ulrich Weiss ◽  
Peter Talkner
Keyword(s):  
Quantum Theory ◽  
Harmonic Oscillator ◽  
Damped Harmonic Oscillator

Rosen-Chambers Variation Theory of Linearly-Damped Classic and Quantum Oscillator

2014 ◽  
Vol 4 (1) ◽  
pp. 404-426
Author(s):  
Vincze Gy. Szasz A.
Keyword(s):  
Harmonic Oscillator ◽  
Classical Mechanics ◽  
Universal Time ◽  
Variation Theory ◽  
Quantum Oscillator ◽  
Variation Principle ◽  
Poisson Brackets ◽  
Mathematical Meaning ◽  
Damped Harmonic Oscillator ◽  
Damped Oscillator

Phenomena of damped harmonic oscillator is important in the description of the elementary dissipative processes of linear responses in our physical world. Its classical description is clear and understood, however it is not so in the quantum physics, where it also has a basic role. Starting from the Rosen-Chambers restricted variation principle a Hamilton like variation approach to the damped harmonic oscillator will be given. The usual formalisms of classical mechanics, as Lagrangian, Hamiltonian, Poisson brackets, will be covered too. We shall introduce two Poisson brackets. The first one has only mathematical meaning and for the second, the so-called constitutive Poisson brackets, a physical interpretation will be presented. We shall show that only the fundamental constitutive Poisson brackets are not invariant throughout the motion of the damped oscillator, but these show a kind of universal time dependence in the universal time scale of the damped oscillator. The quantum mechanical Poisson brackets and commutation relations belonging to these fundamental time dependent classical brackets will be described. Our objective in this work is giving clearer view to the challenge of the dissipative quantum oscillator.

Path integral for the damped harmonic oscillator coupled to its dual

1994 ◽  
Vol 35 (3) ◽  
pp. 1185-1191 ◽  
Author(s):  
L. Chetouani ◽  
L. Guechi ◽  
T. F. Hammann ◽  
M. Letlout
Keyword(s):  
Harmonic Oscillator ◽  
Path Integral ◽  
Damped Harmonic Oscillator
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