Critical electric dipole moment in one dimension

DOI10.1016/j.physleta.2010.04.058zbMath1237.81137OpenAlexW2050606668MaRDI QIDQ415127

H. N. Núñez-Yépez, Benjamín Jaramillo, A. L. Salas-Brito

Publication date: 11 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.04.058

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45)

Related Items (9)

Classical and quantum dynamics in an inverse square potential ⋮ Classical and quantum space splitting: the one-dimensional hydrogen atom ⋮ Tridiagonal treatment for the Schrödinger equation with a noncentral electric dipole ring-shaped potential ⋮ Solution of the Dirac equation in the tridiagonal representation with pseudospin symmetry for an anharmonic oscillator and electric dipole ring-shaped potential ⋮ Solutions of the Schrödinger equation in the tridiagonal representation with the noncentral electric dipole plus a novel angle-dependent component ⋮ The two dimensional motion of a particle in an inverse square potential: Classical and quantum aspects ⋮ Construction of a few quantum mechanical Hamiltonians via Lévy-Leblond type linearization: Clifford momentum, spinor states and supersymmetry ⋮ Exact solution for a noncentral electric dipole ring-shaped potential in the tridiagonal representation ⋮ Solution of the Dirac equation with pseudospin symmetry for a new harmonic oscillatory ring-shaped noncentral potential

Cites Work

• Classical and quantum motion in an inverse square potential
• On the one-dimensional Coulomb problem
• Critical dipoles in one, two, and three dimensions
• Connection conditions and the spectral family under singular potentials
• The functional–analytic versus the functional–integral approach to quantum Hamiltonians: The one-dimensional hydrogen atoma)
• The Capture of Negative Mesotrons in Matter

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