spherically symmetric potential

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• Particle in a spherically symmetric potential — In quantum mechanics, the particle in a spherically symmetric potential describes the dynamics of a particle in a potential which has spherical symmetry. The Hamiltonian for such a system has the form:hat{H} = frac{hat{p}^2}{2m 0} + V(r)where m 0 …   Wikipedia

• Delta potential — The delta potential is a potential that gives rise to many interesting results in quantum mechanics. It consists of a time independent Schrödinger equation for a particle in a potential well defined by a Dirac delta function in one dimension. For …   Wikipedia

• Delta potential well — The Delta potential well is a common theoretical problem of quantum mechanics. It consists of a time independent Schrödinger equation for a particle in a potential well defined by a delta function in one dimension.DefinitionThe time independent… …   Wikipedia

• Semicircular potential well — In quantum mechanics, the case of a particle in a one dimensional ring is similar to the particle in a box. The particle follows the path of a semicircle from 0 to pi where it cannot escape, because the potential from pi to 2 pi is infinite.… …   Wikipedia

• Newtonian potential — In mathematics, the Newtonian potential or Newton potential is an operator in vector calculus that acts as the inverse to the negative Laplacian, on functions that are smooth and decay rapidly enough at infinity. As such, it is a fundamental… …   Wikipedia

• Quantum harmonic oscillator — The quantum harmonic oscillator is the quantum mechanical analogue of the classical harmonic oscillator. It is one of the most important model systems in quantum mechanics because an arbitrary potential can be approximated as a harmonic potential …   Wikipedia

• Angular momentum coupling — Coupling in science Classical coupling Rotational–vibrational coupling Quantum coupling Quantum mechanical coupling Rovibrational coupling Vibronic coupling Rovibronic coupling Angular momentum coupling …   Wikipedia

• Particle in a box — In physics, the particle in a box (also known as the infinite potential well or the infinite square well) is a problem consisting of a single particle inside of an infinitely deep potential well, from which it cannot escape, and which loses no… …   Wikipedia

• List of quantum mechanical systems with analytical solutions — Much insight in quantum mechanics can be gained from understanding the solutions to the time dependent non relativistic Schrödinger equation in an appropriate configuration space. In vector Cartesian coordinates mathbf{r}, the equation takes the… …   Wikipedia

• List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …   Wikipedia

• Classical central-force problem — In classical mechanics, the central force problem is to determine the motion of a particle under the influence of a single central force. A central force is a force that points from the particle directly towards (or directly away from) a fixed… …   Wikipedia