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- Particle_in_a_spherically_symmetric_potential abstract "An important kind of problem in quantum mechanics is that of a particle in a spherically symmetric potential, i.e., a potential that depends only on the distance between the particle and a defined center point. In particular, if the particle in question is an electron and the potential is derived from Coulomb's law, then the problem can be used to describe a hydrogen-like (one-electron) atom (or ion).In the general case, the dynamics of a particle in a spherically symmetric potential are governed by a Hamiltonian of the following form:where is the mass of the particle, is the momentum operator, and the potential depends only on , the modulus of the radius vector r. The quantum mechanical wavefunctions and energies (eigenvalues) are found by solving the Schrödinger equation with this Hamiltonian. Due to the spherical symmetry of the system, it is natural to use spherical coordinates , and . When this is done, the time-independent Schrödinger equation for the system is separable, allowing the angular problems to be dealt with easily, and leaving an ordinary differential equation in to determine the energies for the particular potential under discussion.".
- Particle_in_a_spherically_symmetric_potential wikiPageExternalLink book-schroe.
- Particle_in_a_spherically_symmetric_potential wikiPageID "442505".
- Particle_in_a_spherically_symmetric_potential wikiPageRevisionID "603859879".
- Particle_in_a_spherically_symmetric_potential confusing "July 2009".
- Particle_in_a_spherically_symmetric_potential hasPhotoCollection Particle_in_a_spherically_symmetric_potential.
- Particle_in_a_spherically_symmetric_potential tone "July 2009".
- Particle_in_a_spherically_symmetric_potential subject Category:Partial_differential_equations.
- Particle_in_a_spherically_symmetric_potential subject Category:Quantum_models.
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- Particle_in_a_spherically_symmetric_potential type CausalAgent100007347.
- Particle_in_a_spherically_symmetric_potential type LivingThing100004258.
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- Particle_in_a_spherically_symmetric_potential type QuantumModels.
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- Particle_in_a_spherically_symmetric_potential type YagoLegalActor.
- Particle_in_a_spherically_symmetric_potential type YagoLegalActorGeo.
- Particle_in_a_spherically_symmetric_potential comment "An important kind of problem in quantum mechanics is that of a particle in a spherically symmetric potential, i.e., a potential that depends only on the distance between the particle and a defined center point.".
- Particle_in_a_spherically_symmetric_potential label "Moto in un campo centrale".
- Particle_in_a_spherically_symmetric_potential label "Mouvement dans un champ central symétrique".
- Particle_in_a_spherically_symmetric_potential label "Particle in a spherically symmetric potential".
- Particle_in_a_spherically_symmetric_potential label "Partícula en un potencial de simetría esférica".
- Particle_in_a_spherically_symmetric_potential label "球對稱位勢".
- Particle_in_a_spherically_symmetric_potential sameAs Partícula_en_un_potencial_de_simetría_esférica.
- Particle_in_a_spherically_symmetric_potential sameAs Mouvement_dans_un_champ_central_symétrique.
- Particle_in_a_spherically_symmetric_potential sameAs Moto_in_un_campo_centrale.
- Particle_in_a_spherically_symmetric_potential sameAs 중심_퍼텐셜_속_입자.
- Particle_in_a_spherically_symmetric_potential sameAs m.0290w6.
- Particle_in_a_spherically_symmetric_potential sameAs Q29291.
- Particle_in_a_spherically_symmetric_potential sameAs Q29291.
- Particle_in_a_spherically_symmetric_potential sameAs Particle_in_a_spherically_symmetric_potential.
- Particle_in_a_spherically_symmetric_potential wasDerivedFrom Particle_in_a_spherically_symmetric_potential?oldid=603859879.
- Particle_in_a_spherically_symmetric_potential isPrimaryTopicOf Particle_in_a_spherically_symmetric_potential.