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

Daeimohammad, Mohsen; Nili Ahmadabadi, Mohammad

doi:10.47176/ijpr.22.3.11395

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

Document Type : Original Article

Authors

Mohsen Daeimohammad ¹

Mohammad Nili Ahmadabadi ²

¹ Department of Physics, Najafabad Branch, Islamic Azad University, Najafabad, Iran

² Department of Mathematics, Najafabad Branch, Islamic Azad University, Najafabad, Iran

https://doi.org/10.47176/ijpr.22.3.11395

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.

Keywords

damped harmonic oscillators

continuum reservoir

Hamiltonian quantization

Ohmic damping (proportional to velocity)

20.1001.1.16826957.1401.22.3.19.3

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