GENERAL SOLUTION OF THE QUANTUM DAMPED HARMONIC OSCILLATOR

Ryusuke Endo, Kazuyuki Fujii, Tatsuo Suzuki

Type: Article

Publication Date: 2008-08-01

Citations: 20

DOI: https://doi.org/10.1142/s0219887808003065

View Publication

Download PDF

Abstract

In this paper the general solution of the quantum damped harmonic oscillator is given.

Locations

International Journal of Geometric Methods in Modern Physics - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Study of damped harmonic oscillator in view of quantum calculus	2024	Pintu Bhattachary Ravi Ranjan
+ PDF Chat	Quantum Damped Harmonic Oscillator	2013	Kazuyuki Fujii
+	Quantum Damped Harmonic Oscillator	2012	Kazuyuki Fujii
+ PDF Chat	GENERAL SOLUTION OF THE QUANTUM DAMPED HARMONIC OSCILLATOR II: SOME EXAMPLES	2009	Kazuyuki Fujii Tatsuo Suzuki
+	Quantum Damped Harmonic Oscillator Revisited	2007	Kazuyuki Fujii Tatsuo Suzuki
+	Minimal coupling method for a quantum damped harmonic oscillator	2005	Fardin Kheirandish M. Amooshahi
+ PDF Chat	Some remarks on few recent results on the damped quantum harmonic oscillator	2020	Фабио Багарелло Francesco Gargano Federico Roccati
+ PDF Chat	Dirac’s Method for the Two-Dimensional Damped Harmonic Oscillator in the Extended Phase Space	2018	Laure Gouba
+	Algebraic solution for the classical harmonic oscillator	2023	Murilo B. Alves
+	General perturbational solution of a harmonically forced non-linear oscillator equation	1973	M. M. Stanišić J.A. Euler
+	Quantum probability applied to the damped harmonic oscillator	2004	Hans Maassen
+	He’s frequency formulation for the relativistic harmonic oscillator	2009	Xu-Chu Cai Wen-Ying Wu
+	Harmonic Oscillator	2018	Alessandro Teta
+ PDF Chat	A canonical approach to the quantization of the damped harmonic oscillator	2002	Rabin Banerjee Pradip Mukherjee
+	Analysis of the simple harmonic oscillator with fractional damping	2003	Ronald E. Mickens Ḱale Oyedeji Sandra Rucker
+	Non-Adiabatic Solution to the Time Dependent Quantum Harmonic Oscillator	2011	C. A. M. de Melo B. M. Pimentel José A. Ramı́rez
+ PDF Chat	Damping modes of harmonic oscillator in open quantum systems	2019	B. A. Tay
+	Path Integral Formulation of a Damped Harmonic Oscillator	2006
+	Path Integral Formulation of a Damped Harmonic Oscillator	2017
+	Path Integral Analysis for a Damped Harmonic Oscillator with a Higher Derivative Term in the Damping	2025	Albert C. R. Mendes Éverton M. C. Abreu

Works That Cite This (19)

Action	Title	Year	Authors
+ PDF Chat	Dissipation-Induced Luttinger Liquid Correlations in a One-Dimensional Fermi Gas	2020	Ádám Bácsi Cătălin Paşcu Moca Balázs Dóra
+ PDF Chat	Spectral resolution of the Liouvillian of the Lindblad master equation for a harmonic oscillator	2010	Daigo Honda Hiromichi Nakazato Motoyuki Yoshida
+	Rotating Wave Approximation of the Law's Effective Hamiltonian on the Dynamical Casimir Effect	2012	Kazuyuki Fujii Tatsuo Suzuki
+ PDF Chat	AN APPROXIMATE SOLUTION OF THE JAYNES–CUMMINGS MODEL WITH DISSIPATION II: ANOTHER APPROACH	2012	Kazuyuki Fujii Tatsuo Suzuki
+ PDF Chat	Basic properties of coherent-squeezed states revisited	2014	Kazuyuki Fujii Hiroshi Ôike
+ PDF Chat	ROTATING WAVE APPROXIMATION OF THE LAW'S EFFECTIVE HAMILTONIAN ON THE DYNAMICAL CASIMIR EFFECT	2013	Kazuyuki Fujii Tatsuo Suzuki
+	Lindblad dynamics of the damped and forced quantum harmonic oscillator	2019	H. J. Korsch
+ PDF Chat	SUPERLUMINAL GROUP VELOCITY OF NEUTRINOS: REVIEW, DEVELOPMENT AND PROBLEMS	2012	Kazuyuki Fujii
+ PDF Chat	AN APPROXIMATE SOLUTION OF THE JAYNES–CUMMINGS MODEL WITH DISSIPATION	2011	Kazuyuki Fujii Tatsuo Suzuki
+ PDF Chat	ALGEBRAIC STRUCTURE OF A MASTER EQUATION WITH GENERALIZED LINDBLAD FORM	2008	Kazuyuki Fujii

Works Cited by This (10)

Action	Title	Year	Authors
+	An Approximate Solution of the Master Equation with the Dissipator being a Set of Projectors	2007	Kazuyuki Fujii
+	Dissipative Mechanics Using Complex-Valued Hamiltonians	2007	S. G. Rajeev
+	Introduction to Coherent States and Quantum Information Theory	2001	Kazuyuki Fujii
+	Matrix Elements of Generalized Coherent Operators	2002	Kazuyuki Fujii
+	Cavity QED and Quantum Computation in the Weak Coupling Regime II : Complete Construction of the Controlled-Controlled NOT Gate	2005	Kazuyuki Fujii Kyoko Higashida Ryosuke Kato Yukako Wada
+ PDF Chat	Cavity QED and quantum computation in the weak coupling regime	2004	Kazuyuki Fujii Kyoko Higashida Ryosuke Kato Yukako Wada
+ PDF Chat	Population trapping due to cavity losses	2008	M. Scala Benedetto Militello A. Messina Sabrina Maniscalco Jyrki Piilo Kalle‐Antti Suominen
+	Quantum Mechanics with Complex Time : A Comment to the Paper by Rajeev	2007	Kazuyuki Fujii
+	Matrix Elements of Generalized Coherent Operators	2002	Kazuyuki Fujii
+ PDF Chat	Cavity losses for the dissipative Jaynes–Cummings Hamiltonian beyond rotating wave approximation	2007	M. Scala Benedetto Militello A. Messina Sabrina Maniscalco Jyrki Piilo Kalle‐Antti Suominen