Research output: Contribution to journal › Article › peer-review
A "radiative" model of quantization of an oscillator with dissipation. / Bezuglov, N. N.
In: Optics and Spectroscopy (English translation of Optika i Spektroskopiya), Vol. 85, No. 1, 01.12.1998, p. 36-40.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - A "radiative" model of quantization of an oscillator with dissipation
AU - Bezuglov, N. N.
PY - 1998/12/1
Y1 - 1998/12/1
N2 - For an example of friction forces directly proportional to the velocity of motion, a new approach is proposed to the problem of quantization of systems with energy dissipation. An analogy with the radiative friction forces of Lorentz is widely used. The power of dissipation forces is expanded in harmonic components and, by using the correspondence principle, recalculated into the rate of change of the population probability of an excited state. Quantum dynamics is described by the temporal Green functions in the Feynman integral representation. In the case of a harmonic oscillator, analytic expressions for temporal behavior of the probability amplitudes are derived, and the entire spectrum of complex energies is obtained. Their imaginary part gives a quantitative description of the energy dissipation. In our scheme, the ground state is found to be stable.
AB - For an example of friction forces directly proportional to the velocity of motion, a new approach is proposed to the problem of quantization of systems with energy dissipation. An analogy with the radiative friction forces of Lorentz is widely used. The power of dissipation forces is expanded in harmonic components and, by using the correspondence principle, recalculated into the rate of change of the population probability of an excited state. Quantum dynamics is described by the temporal Green functions in the Feynman integral representation. In the case of a harmonic oscillator, analytic expressions for temporal behavior of the probability amplitudes are derived, and the entire spectrum of complex energies is obtained. Their imaginary part gives a quantitative description of the energy dissipation. In our scheme, the ground state is found to be stable.
UR - http://www.scopus.com/inward/record.url?scp=11644291058&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:11644291058
VL - 85
SP - 36
EP - 40
JO - OPTICS AND SPECTROSCOPY
JF - OPTICS AND SPECTROSCOPY
SN - 0030-400X
IS - 1
ER -
ID: 36438126