GENERAL SOLUTION OF THE QUANTUM DAMPED HARMONIC OSCILLATOR
نویسندگان
چکیده
منابع مشابه
Damped Quantum Harmonic Oscillator
In the framework of the Lindblad theory for open quantum systems the damping of the harmonic oscillator is studied. A generalization of the fundamental constraints on quantum mechanical diffusion coefficients which appear in the master equation for the damped quantum oscillator is presented; the Schrödinger and Heisenberg representations of the Lindblad equation are given explicitly. On the bas...
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In this paper we revisit the quantum damped harmonic oscillator and construct an interesting approximate solution in the operator algebra level. Namely, we first give the general solution to the Lindblad form (equation) and next construct an approximate solution to the full equation by use of it. Our method is a milestone to construct the general solution. In this paper we revisit dynamics of a...
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The quantum theory of the damped harmonic oscillator has been a subject of continual investigation since the 1930s. The obstacle to quantization created by the dissipation of energy is usually dealt with by including a discrete set of additional harmonic oscillators as a reservoir. But a discrete reservoir cannot directly yield dynamics such as Ohmic damping (proportional to velocity) of the os...
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ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2008
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887808003065