Quantum dynamics of A damped harmonic oscillator with velocity-dependent coupling

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Daeimohammad Mohsen; Nili Ahmadabadi Mohammad

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Journal Paper

Paper Information

Journal: Iranian Journal of Physics Research Year:2022 | Volume:22 | Issue:3 (پیاپی 89) Page(s): 603-619

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Information Journal Paper

Title

Quantum dynamics of A damped harmonic oscillator with velocity-dependent coupling

Author(s)

Daeimohammad Mohsen | Nili Ahmadabadi Mohammad | Issue Writer Certificate

Keywords

damped harmonic oscillatorsQ4

continuum reservoirQ4

Hamiltonian quantizationQ4

Ohmic damping (proportional to velocity)Q4

Abstract

The quantum theory of a damped harmonic oscillator has been continuously studied since 1939. For quantization, an oscillation oscillator usually uses a reservoir that includes a number of finite and discrete oscillators. However, a set of discrete oscillators is unable to study the quantum theory of an Ohmic damping (damping proportional to velocity). In this research, a continuous set of harmonic oscillators has been used to investigate Ohmic damping. Using a continuum reservoir instead of a discrete reservoir will enrich the results of the dynamic system. The results of this research can be used to study nano-mechanical systems and opto-mechanical systems.

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