Results 21 to 30 of about 839,047 (377)

Relativistic harmonic oscillator [PDF]

Journal of Mathematical Physics, 2005
We study the semirelativistic Hamiltonian operator composed of the relativistic kinetic energy and a static harmonic-oscillator potential in three spatial dimensions and construct, for bound states with vanishing orbital angular momentum, its eigenfunctions in “compact form,” i.e., as power series, with expansion coefficients determined by an ...
Zhi-Feng Li, Jin-Jin Liu, Franz F. Schöberl, Wen-Gan Ma, Wolfgang Lucha   +4 more
openaire   +4 more sources

Global residue harmonic balance method for strongly nonlinear oscillator with cubic and harmonic restoring force

Journal of Low Frequency Noise, Vibration and Active Control, 2022
This paper focuses on the numerical investigation of a strongly nonlinear oscillator with cubic and harmonic restoring force. We transform this oscillator as a free damped cubic-quintic Duffing oscillator equation by Taylor approximation.
Junfeng Lu
doaj   +1 more source

Reducibility of the Quantum Harmonic Oscillator in $d$-dimensions with Polynomial Time Dependent Perturbation [PDF]

, 2017
We prove a reducibility result for a quantum harmonic oscillator in arbitrary dimensions with arbitrary frequencies perturbed by a linear operator which is a polynomial of degree two in $x_j$, $-i \partial_j$ with coefficients which depend ...
D. Bambusi, B. Grébert, A. Maspero, D. Robert   +3 more
semanticscholar   +1 more source

On detecting harmonic oscillations [PDF]

Bernoulli, 2015
In this paper, we focus on the following testing problem: assume that we are given observations of a real-valued signal along the grid $0,1,\ldots,N-1$, corrupted by white Gaussian noise. We want to distinguish between two hypotheses: (a) the signal is a nuisance - a linear combination of $d_n$ harmonic oscillations of known frequencies, and (b) signal
Juditsky, Anatoli, B., Nemirovskii, Arkadii S.   +1 more
openaire   +5 more sources

A THEOREM ON CYCLIC HARMONIC OSCILLATORS [PDF]

International Journal of Modern Physics A, 2006
It is proven that the energy of a quantum mechanical harmonic oscillator with a generically time-dependent but cyclic frequency, ω(t0) = ω(0), cannot decrease on an average if the system is originally in a stationary state, after the system goes through a full cycle.
KONISHI, KENICHI, PAFFUTI, GIAMPIERO
openaire   +3 more sources

Unitary relation between a harmonic oscillator of time-dependent frequency and a simple harmonic oscillator with and without an inverse-square potential [PDF]

, 2000
The unitary operator which transforms a harmonic oscillator system of time-dependent frequency into that of a simple harmonic oscillator of different time-scale is found, with and without an inverse-square potential. It is shown that for both cases, this
A.N. Seleznyova, C. Degli Esposti Boschi, D. Stoler, D. Stoler, D.-Y. Song, D.-Y. Song, D.-Y. Song, D.C. Khandekar, Dae-Yup Song, F. Calogero, H.R. Lewis, H.R. Lewis, Jr., H.R. Lewis, Jr., H.R. Lewis, Jr., I.A. Pedrosa, I.A. Pedrosa, J.-Y. Ji, J.G. Hartley, J.L. Reid, J.R. Klauder, J.R. Ray, K.H. Yeon, L.S. Brown, M. Maamache, R. Shankar, W.-M. Zhang, Y. Aharonov   +26 more
core   +2 more sources

Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process [PDF]

arXiv.org, 2016
We study the preparation of entangled pure Gaussian states via reservoir engineering. In particular, we consider a chain consisting of (2ℵ+1) quantum harmonic oscillators where the central oscillator of the chain is coupled to a single reservoir. We then
Shan Ma, M. Woolley, I. Petersen, N. Yamamoto   +3 more
semanticscholar   +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, de A Marques G, Elliot J P, Gibbons G W, J L A Coelho, Kibble T W B, Kostelecký V A, R L P G Amaral, Sommerfeld A, Tangherlini F R   +9 more
core   +2 more sources

Study of charge density distributions, elastic charge form factors and root-mean square radii for 4He, 12C and 16O nuclei using Woods- Saxon and harmonic-oscillator potentials

Iraqi Journal of Physics, 2019
The nuclear charge density distributions, form factors and corresponding proton, charge, neutron, and matter root mean square radii for stable 4He, 12C, and 16O nuclei have been calculated using single-particle radial wave functions of Woods-Saxon ...
Arkan R. Ridha
doaj   +1 more source

Planck scale Corrections to the Harmonic Oscillator, Coherent and Squeezed States [PDF]

, 2017
The Generalized Uncertainty Principle (GUP) is a modification of Heisenberg's Principle predicted by several theories of Quantum Gravity. It consists of a modified commutator between position and momentum.
P. Bosso, Saurya Das, R. Mann
semanticscholar   +1 more source