Planar hydrogen-like atom in inhomogeneous magnetic fields: Exactly or quasi-exactly solvable models

Autor:	Qinghai Hao, Liyan Liu
Rok vydání:	2015
Předmět:	Hydrogen-like atom Statistical and Nonlinear Physics Schrödinger equation Magnetic field symbols.namesake Planar Homogeneous Quantum mechanics Energy spectrum Atom symbols Physics::Atomic Physics Hamiltonian (quantum mechanics) Mathematical Physics Mathematics
Zdroj:	Theoretical and Mathematical Physics. 183:730-736
ISSN:	1573-9333 0040-5779
DOI:	10.1007/s11232-015-0291-1
Popis:	We use a simple mathematical method to solve the problem of a two-dimensional hydrogen-like atom in the inhomogeneous magnetic fields B = (k/r)z and B = (k/r 3)z. We construct a Hamiltonian that takes the same form as the Hamiltonian of a hydrogen-like atom in the homogeneous magnetic fields and obtain the energy spectrum by comparing the Hamiltonians. The results show that the whole spectrum of the atom in the magnetic field B = (k/r)z can be obtained, and the problem is exactly solvable in this case. We find analytic solutions of the Schrodinger equation for the atom in the magnetic field B = (k/r 3)z for particular values of the magnetic strength k and thus present a quasi-exactly solvable model.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2319a71901e27511d00fc2b3a0166990 https://doi.org/10.1007/s11232-015-0291-1 Zobrazit plný text záznamu Plný text ve formátu PDF