Analytic energies and wave functions of the two-dimensional Schrödinger equation: ground state of two-dimensional quartic potential and classification of solutions

Autor:	Vladimír Tichý, Lubomír Skála, Aleš Antonín Kuběna
Rok vydání:	2012
Předmět:	Physics symbols.namesake Polynomial Quartic function Quantum electrodynamics symbols General Physics and Astronomy Quartic surface Ground state Wave function Schrödinger equation Mathematical physics
Zdroj:	Canadian Journal of Physics. 90:503-513
ISSN:	1208-6045 0008-4204
DOI:	10.1139/p2012-046
Popis:	New analytic solutions of the two-dimensional Schrödinger equation with a two-dimensional fourth-order polynomial (i.e., quartic) potential are derived and discussed. The solutions represent the ground state energies and the corresponding wave functions. In general, the obtained results cannot be reduced to two one-dimensional cases.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::52144564befd52e7e6b004bcef7ace00 https://doi.org/10.1139/p2012-046 Zobrazit plný text záznamu Plný text ve formátu PDF