Results 21 to 30 of about 239,273 (289)
Unitary relations in time-dependent harmonic oscillators [PDF]
, 1999 For a harmonic oscillator with time-dependent (positive) mass and frequency, an unitary operator is shown to transform the quantum states of the system to those of a harmonic oscillator system of unit mass and time-dependent frequency, as well as ...
Caldirola P +18 more
core +2 more sources
Exact Master Equation and Quantum Decoherence of Two Coupled Harmonic Oscillators in a General Environment [PDF]
, 2007 In this paper we derive an exact master equation for two coupled quantum harmonic oscillators interacting via bilinear coupling with a common environment at arbitrary temperature made up of many harmonic oscillators with a general spectral density ...
B. L. Hu +5 more
core +2 more sources
Enhancement of quantum synchronization via continuous measurement and feedback control
New Journal of Physics, 2021 We study synchronization of a quantum van der Pol oscillator with a harmonic drive and demonstrate that quantum synchronization can be enhanced by performing continuous homodyne measurement on an additional bath linearly coupled to the oscillator and ...
Yuzuru Kato, Hiroya Nakao
doaj +1 more source
Foundations, 2023 A brief review of the classical and quantum description of the interaction of electromagnetic radiation with matter based on the model of a harmonic oscillator is presented.
Valery Astapenko, Timur Bergaliyev
doaj +1 more source
New Discrete Basis for Nuclear Structure Studies [PDF]
, 1998 A complete discrete set of spherical single-particle wave functions for studies of weakly-bound many-body systems is proposed. The new basis is obtained by means of a local-scale point transformation of the spherical harmonic oscillator wave functions ...
A. K. Kerman +48 more
core +2 more sources
Phys. Rev. E 70, 051103 (2004), 2011 We consider the fractional oscillator being a generalization of the conventional linear oscillator in the framework of fractional calculus. It is interpreted as an ensemble average of ordinary harmonic oscillators governed by stochastic time arrow. The intrinsic absorption of the fractional oscillator results from the full contribution of the harmonic ...
arxiv +1 more source
Fourth-order dynamics of the damped harmonic oscillator [PDF]
Nonlinear Dyn 109, 285-301 (2022), 2021 It is shown that the classical damped harmonic oscillator belongs to the family of fourth-order Pais-Uhlenbeck oscillators. It follows that the solutions to the damped harmonic oscillator equation make the Pais-Uhlenbeck action stationary. Two systematic approaches are given for deriving the Pais-Uhlenbeck action from the damped harmonic oscillator ...
arxiv +1 more source
Coulomb and quantum oscillator problems in conical spaces with arbitrary dimensions [PDF]
, 2001 The Schr\"odinger equations for the Coulomb and the Harmonic oscillator potentials are solved in the cosmic-string conical space-time. The spherical harmonics with angular deficit are introduced.
Bergmann D +9 more
core +2 more sources
ON RELATIVISTIC HARMONIC OSCILLATOR
Hadronic Journal, 2022 9 LaTeX pages, no ...
openaire +2 more sources
Multipartite Entanglement Generation in a Structured Environment
Entropy, 2020 In this paper, we investigate the entanglement generation of n-qubit states in a model consisting of n independent qubits, each coupled to a harmonic oscillator which is in turn coupled to a bath of N additional harmonic oscillators with nearest-neighbor
Shijiao Wang +2 more
doaj +1 more source