The linear harmonic oscillator problem is one of the most fascinating problems in quantum mechanics. It allows us to understand the basic features of a quantum system along with its transition to the classical domain. It has applications in many problems in physics; e.g. in studying the ...
Corrections to the energy levels of a harmonic oscillator are calculated.doi:10.48550/arXiv.gr-qc/0306110Singh T. PT. P. Singh, "Quantum mechanics without spacetime III - A proposal for a non-linear Schrodinger equation -" [gr-qc/0306110]....
“Since quantum mechanics is the more fundamental theory we can ask ourselves if there is chaotic motion in quantum systems as well. A key ingredient of the chaotic phenomenology is the sensitive dependence of the time evolution upon the initial conditions. The Schrödinger equation ...
quantum mechanics/harmonic oscillator in, linear canonical transformations and their unitary representations for n-dimensionalRadionuclide angiography has been ... MM Bodenheimer,VS Banka,RH Helfant - 《American Journal of Cardiology》 被引量: 311发表: 1980年 Canonical transformations to action and angle...
Here, we exploit the fact that the mathematics of harmonic oscillator systems is inherently affine (i.e., linear), and hence we can map linear algebraic primitives onto such systems. (See also Ref. 27 for a discussion of harmonic oscillators in the context of quantum computing speedups.) We...
Exact solution of a time-dependent quantal harmonic oscillator with damping and a perturbative force The problem of a quantal harmonic oscillator with damping and a time‐dependent frequency acted on by a time‐dependent perturbative force is exactly solve... DC Khandekar,SV Lawande - 《Journal ...
3) quantum transformation theory 量子变换理论 1. Energy spectrum of non-identical coupled harmonic oscillators is given by usingquantum transformation theory. 利用量子变换理论 ,极其简洁地给出了各向异性耦合谐振子的能谱 ,从而提出了一种普遍的方
characterising the effects of the bath oscillator concentration on the rotator dynamics, I is the rotator moment of inertia. We use the spherical harmonic expansion of the unit vector operator ˆ u as [1, 2] ˆ u(t) = ∞ l=1 (ˆ u + l + ˆ u − l (t)), (7) where...
The necessity to average over the impact parameter in the classical calculation was one of the important motivations for Bethe in 1930 to calculate the stopping power using quantum mechanics. In the first Born approximation he yielded for the stopping power ...
In this paper, the problem about the degree of degeneracy of the energyc level of three dimensional harmonic oscillator is discussed by means of the linear spacc on the integral ring. we find the sufficient and necessary condition that all the energy levels are non-degenerate, and get the co...