Results 1 to 10 of about 112,334 (168)
Thermalization in a Quantum Harmonic Oscillator with Random Disorder. [PDF]
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]
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]
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]
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]
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]
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
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]
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]
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]
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