Results 1 to 10 of about 112,334 (168)

Thermalization in a Quantum Harmonic Oscillator with Random Disorder. [PDF]

open access: yesEntropy (Basel), 2020
We propose a possible scheme to study the thermalization in a quantum harmonic oscillator with random disorder. Our numerical simulation shows that through the effect of random disorder, the system can undergo a transition from an initial nonequilibrium ...
Hsueh YW, Hsueh CH, Wu WC.
europepmc   +2 more sources

Quantum dynamics of the damped harmonic oscillator [PDF]

open access: yesNew Journal of Physics, 2012
The quantum theory of the damped harmonic oscillator has been a subject of continual investigation since the 1930s. The obstacle to quantization created by the dissipation of energy is usually dealt with by including a discrete set of additional harmonic
T G Philbin
doaj   +2 more sources

The Harmonic Oscillator on the Heisenberg Group [PDF]

open access: yesComptes Rendus. Mathématique, 2020
In this note we present a notion of harmonic oscillator on the Heisenberg group $\mathbf{H}_n$ which forms the natural analogue of the harmonic oscillator on $\mathbb{R}^n$ under a few reasonable assumptions: the harmonic oscillator on $\mathbf{H}_n ...
Rottensteiner, David, Ruzhansky, Michael
doaj   +5 more sources

Multi objective optimization algorithm for hybrid quantum harmonic oscillator and its application in rotor system optimization. [PDF]

open access: yesSci Rep
The importance of support system dynamic fidelity in capturing turbine rotor performance in unbalance response and critical speed is considered. Lobal optimization methods based on multi-scale quantum harmonic oscillator algorithm and genetic algorithm ...
Li J   +6 more
europepmc   +2 more sources

Investigating and analysis of the properties of coherent states of a deformed nonlinear harmonic oscillator [PDF]

open access: yesIranian Journal of Physics Research, 2023
In this research, we study the coherent states of a deformed nonlinear harmonic oscillator. We use the perturbation theory to compute eigenstates and eigen-values ​​for a deformed nonlinear harmonic oscillator and then define the generalized coherent ...
Mohsen Daeimohammad   +1 more
doaj   +1 more source

Super algebra and Harmonic Oscillator in Anti de Sitter space [PDF]

open access: yesIranian Journal of Astronomy and Astrophysics, 2019
The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space.
Omid Jalili, Shahin Toni
doaj   +1 more source

Algebraic solution for the classical harmonic oscillator

open access: yesRevista Brasileira de Ensino de Física, 2023
The harmonic oscillator is one of the most studied systems in Physics with a myriad of applications. One of the first problems solved in a Quantum Mechanics course is calculating the energy spectrum of the simple harmonic oscillator with analytic and ...
Murilo B. Alves
doaj   +1 more source

On the Inverse to the Harmonic Oscillator [PDF]

open access: yesCommunications in Partial Differential Equations, 2015
Let $b_d$ be the Weyl symbol of the inverse to the harmonic oscillator on $\R^d$. We prove that $b_d$ and its derivatives satisfy convenient bounds of Gevrey and Gelfand-Shilov type, and obtain explicit expressions for $b_d$. In the even-dimensional case we characterize $b_d$ in terms of elementary functions. In the analysis we use properties of radial
CAPPIELLO, Marco   +2 more
openaire   +3 more sources

Relativistic harmonic oscillator [PDF]

open access: yesJournal 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   +4 more
openaire   +4 more sources

On detecting harmonic oscillations [PDF]

open access: yesBernoulli, 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,   +1 more
openaire   +6 more sources

Home - About - Disclaimer - Privacy