By means of a time-dependent canonical transformation, the time evolution operator and the wave function of a damped harmonic oscillator with time-dependent parameters are explicitly constructed in the occupation number representation. The expectation values of mechanical variables are then shown to obey...
Suzuki : General Solution of the Quantum Damped Harmonic Oscillator, to appear in Int. J. Geom. Meth. Mod. Phys, 5, arXiv : 0710.2724 [quant-ph].R. Endo, K. Fujii and T. Suzuki : General Solution of the Quantum Damped Harmonic Oscillator, Int. J. Geom. Methods. Mod. Phys, 5 (...
In the preceding paper (arXiv: 0710.2724 [quant-ph]) we have constructed the general solution for the master equation of quantum damped harmonic oscillator, which is given by the complicated infinite series in the operator algebra level. In this paper we give the explicit and compact forms to...
An effective approach for approximate analytical solutions of the damped Duffing equation 2012, Physica Scripta Composite tracking control for generalized practical synchronization of duffing-holmes systems with parameter mismatching, unknown external excitation, plant uncertainties, and uncertain deadzone nonlinea...
Duffing-type oscillator under harmonic excitation with a variable value of excitation amplitude and time-dependent external disturbances Article Open access 03 February 2021 Dynamical analysis of a damped harmonic forced duffing oscillator with time delay Article Open access 20 April 2023 Stability ...
Several analytical and approximate methods for solving nonlinear oscillators have been developed in recent decades, including the parameter-expansion method [1], the harmonic balance method [2,3], the energy balance method [4,5], the Hamiltonian approach [6], the use of special functions [7,8...
In the preceding paper (arXiv: 0710.2724 [quant-ph]) we have constructed the general solution for the master equation of quantum damped harmonic oscillator, which is given by the complicated infinite series in the operator algebra level. In this paper we give the explicit and compact forms to...
ZHAOBo ZHAOMei-Sheng ZHANGYong-DeDepartmentofModernPhysicsUniversityofScienceandTechnologyofChinaHefeiVIP中国物理快报(英文版)Yang J,Lu H X,Zhao B, et al.Solution to the master equation of a free damped harmonic oscillator with linear driving. Chinese Physics Letter . 2003...
oscillator and on the motion which is a function of connection properties.Due to initial conditions, motion of bodies with damped connection is limited, unlimited, or even harmonic.Flexural vibration of the vocal cord, depend on the order of nonlinearity: the higher the elasticity order, the ...
GENERAL SOLUTION OF THE QUANTUM DAMPED HARMONIC OSCILLATOR II: SOME EXAMPLESdoi:10.1142/S0219887809003497Kazuyuki FujiiTatsuo SuzukiWorld Scientific Publishing CompanyEndo R,Fujii K,Suzuki T.General solution of the quantum damped harmonic oscillator. ....