Results 51 to 60 of about 839,047 (377)
Exact Master Equation and Quantum Decoherence of Two Coupled Harmonic Oscillators in a General Environment [PDF]
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
We determine the evolving probability representation of entangled cat states in the potential of either the harmonic oscillator or the inverted oscillator, assuming that the states are initially prepared in the potential of the harmonic oscillator.
Matyas Mechler+3 more
doaj +1 more source
Exact diagonalization of the D-dimensional spatially confined quantum harmonic oscillator [PDF]
In the existing literature various numerical techniques have been developed to quantize the confined harmonic oscillator in higher dimensions. In obtaining the energy eigenvalues, such methods often involve indirect approaches such as searching for the ...
Kunle Adegoke+4 more
doaj +1 more source
Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials [PDF]
We prove that every rational extension of the quantum harmonic oscillator that is exactly solvable by polynomials is monodromy free, and therefore can be obtained by applying a finite number of state-deleting Darboux transformations on the harmonic ...
D. Gómez‐Ullate+2 more
semanticscholar +1 more source
General Solution of the Quantum Damped Harmonic Oscillator
In this paper the general solution of the quantum damped harmonic oscillator is given.Comment: Latex ; 10 pages ; no figure ; typos corrected.
Breuer H.-P.+4 more
core +1 more source
First harmonic injection locking of 24-GHz-oscillators [PDF]
An increasing number of applications is proposed for the 24 GHz ISM-band, like automotive radar systems and short-range communication links. These applications demand for oscillators providing moderate output power of a few mW and moderate frequency ...
M. R. Kühn, E. M. Biebl
doaj
An Effective Solution of the Cube-Root Truly Nonlinear Oscillator: Extended Iteration Procedure
The cube-root truly nonlinear oscillator and the inverse cube-root truly nonlinear oscillator are the most meaningful and classical nonlinear ordinary differential equations on behalf of its various applications in science and engineering.
B. M. Ikramul Haque, M. M. Ayub Hossain
doaj +1 more source
Nodal Sets of Random Eigenfunctions for the Isotropic Harmonic Oscillator [PDF]
The expected hypersurface measure H(ZE,h ∩B(r, x)) of nodal sets of random eigenfunctions of eigenvalue E of the semi-classical isotropic harmonic oscillator in balls B(r, x) ⊂ R is determined as h → 0. In the allowed region the volumes are of order h−1,
Boris Hanin, S. Zelditch, Peng Zhou
semanticscholar +1 more source
Heat and work fluctuations for a harmonic oscillator. [PDF]
The formalism of Kundu et al. [J. Stat. Mech. P03007 (2011)], for computing the large deviations of heat flow in harmonic systems, is applied to the case of single Brownian particle in a harmonic trap and coupled to two heat baths at different ...
Sanjib Sabhapandit
semanticscholar +1 more source
Simulation of harmonic oscillators on the lattice [PDF]
This work deals with the simulation of a two‐dimensional ideal lattice having simple tetragonal geometry. The harmonic character of the oscillators give rise to a system of second‐order linear differential equations, which can be recast into matrix form. The explicit solutions which govern the dynamics of this system can be expressed in terms of matrix
Tung, Michael Ming-Sha+3 more
openaire +2 more sources