Quantum dynamics of A damped harmonic oscillator with velocity-dependent coupling
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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Isfahan University of Technology
2022-11-01
|
| Series: | Iranian Journal of Physics Research |
| Subjects: | |
| Online Access: | https://ijpr.iut.ac.ir/article_3305_655d358cfe1fe50c9d33a206e9f833dd.pdf |
| _version_ | 1797448399951233024 |
|---|---|
| author | Mohsen Daeimohammad Mohammad Nili Ahmadabadi |
| author_facet | Mohsen Daeimohammad Mohammad Nili Ahmadabadi |
| author_sort | Mohsen Daeimohammad |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T14:09:52Z |
| format | Article |
| id | doaj.art-63284629189848ad9b2e3de3c69246b9 |
| institution | Directory Open Access Journal |
| issn | 1682-6957 2345-3664 |
| language | English |
| last_indexed | 2024-03-09T14:09:52Z |
| publishDate | 2022-11-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Iranian Journal of Physics Research |
| spelling | doaj.art-63284629189848ad9b2e3de3c69246b92023-11-29T12:27:50ZengIsfahan University of TechnologyIranian Journal of Physics Research1682-69572345-36642022-11-0122360361910.47176/ijpr.22.3.113953305Quantum dynamics of A damped harmonic oscillator with velocity-dependent couplingMohsen Daeimohammad0Mohammad Nili Ahmadabadi1Department of Physics, Najafabad Branch, Islamic Azad University, Najafabad, IranDepartment of Mathematics, Najafabad Branch, Islamic Azad University, Najafabad, IranThe 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.https://ijpr.iut.ac.ir/article_3305_655d358cfe1fe50c9d33a206e9f833dd.pdfdamped harmonic oscillatorscontinuum reservoirhamiltonian quantizationohmic damping (proportional to velocity) |
| spellingShingle | Mohsen Daeimohammad Mohammad Nili Ahmadabadi Quantum dynamics of A damped harmonic oscillator with velocity-dependent coupling Iranian Journal of Physics Research damped harmonic oscillators continuum reservoir hamiltonian quantization ohmic damping (proportional to velocity) |
| title | Quantum dynamics of A damped harmonic oscillator with velocity-dependent coupling |
| title_full | Quantum dynamics of A damped harmonic oscillator with velocity-dependent coupling |
| title_fullStr | Quantum dynamics of A damped harmonic oscillator with velocity-dependent coupling |
| title_full_unstemmed | Quantum dynamics of A damped harmonic oscillator with velocity-dependent coupling |
| title_short | Quantum dynamics of A damped harmonic oscillator with velocity-dependent coupling |
| title_sort | quantum dynamics of a damped harmonic oscillator with velocity dependent coupling |
| topic | damped harmonic oscillators continuum reservoir hamiltonian quantization ohmic damping (proportional to velocity) |
| url | https://ijpr.iut.ac.ir/article_3305_655d358cfe1fe50c9d33a206e9f833dd.pdf |
| work_keys_str_mv | AT mohsendaeimohammad quantumdynamicsofadampedharmonicoscillatorwithvelocitydependentcoupling AT mohammadniliahmadabadi quantumdynamicsofadampedharmonicoscillatorwithvelocitydependentcoupling |