Hirota anharmonic oscillatorThe exact solutions and classical energy spectra for the one-spring and two-spring models of the Hirota anharmonic oscillator have been obtained. The dependences of nonlinear oscillations frequencies on energy have been found. It was shown that the equation of the two-...
classical harmonic potentialspotential energy functionasymmetrically matched harmonic oscillatorquantum mechanical energy levels/ A0365G Solutions of wave equations: bound state in quantum theory A0210 Algebra, set theory, and graph theoryTo date, the only potential energy function that has been ...
The atomic charges of a repeating unit were calculated using the restrained electrostatic potential (RESP) charge model49with a single-point calculation of the Hartree–Fock method50combined with the 6–31 G(d) basis set on the optimized geometry of the most stable conformation. The total en...
Hello, I have some trouble understanding the position-dependent mass concept in classical mechanics especially with the lagrangian equation and the relation with the harmonic oscillator. Is there a person can provide a brief on the subject?. Physics news on Phys.org Kinetic Alfvén waves may...
Traveling waves are set up in a pair of long strings by a simple harmonic oscillator. The strings have identical mass densities of 5.1 grams/meter. Both strings terminate at a short bungee cord attached to a wall. The harmonic oscillator is attached to the other ends of the strings in such...
The rate of the energy decrease is usually extremely small which makes its effect uneasy to detect in course of the observations, or experiments. The energy of the harmonic oscillator is thoroughly examined as an example. Here our point is that not only the energy, but also the oscillator ...
In the first part of the paper the principle of energy conservation was considered. Then the energetic aspects of the oscillator motion, with an exemplary real system motion, were presented in the second Part. This part of the paper is devoted to the kinetics of a body in harmonic motion ...
Generalized nonlinear oscillators with quasi-harmonic behaviour: classical solutions The classical nonlinear oscillator, proposed by Mathews and Lakshmanan [Q. Appl. Math.32, 215 (1974)] and including a position-dependent mass in the kineti... C Quesne - 《Journal of Mathematical Physics》 被引量...
Harmonic oscillator Basis sets completeness Energy basis Learning Goals By the end of this chapter, you should be able to understand: the importance of discrete energy states in quantum mechanics. compatible and incompatible observables. basis sets. ...
The Fokker–Planck equation with an effective potential in the long-time limit contains the Markovian Klein–Kramers equation with a diffusion energy. We mainly analyze the quantum Brownian motion by using harmonic oscillation in one-dimensional space. We introduce the velocity distribution function and...