Energy levels of a particle confined in a super-circular box

Autor:	S. Mitra, S. P. Khastgir, J. K. Bhattacharjee, N. Bera
Rok vydání:	2007
Předmět:	Physics Free particle Range (particle radiation) Rational number Excited state Boundary (topology) Atomic physics Particle in a box Parametric oscillator Ground state Computer Science::Databases Atomic and Molecular Physics and Optics
Zdroj:	The European Physical Journal D. 46:41-50
ISSN:	1434-6079 1434-6060
Popis:	We find the energy levels of a free particle confined in a two dimensional infinite potential well having super-circular boundary (|x|n+|y|n=an where n is a rational number and a is a positive real number) by perturbing about the equivalent circle (n=2). The ground state energies are very accurate over a wide range of n and can be improved further by introducing a phenomenological constant determined from the knowledge of exact results available for diamond (n=1). For excited states, we find that the shape effect can cause parametric resonance which can lead to singlet-triplet crossing.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0b4453ddd9899ee4644be11f0e44ecdc https://doi.org/10.1140/epjd/e2007-00282-6 Zobrazit plný text záznamu Full text from SpringerLink