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Degeneracy in one‐dimensional quantum mechanics: A case study
Author(s) -
Matamala Adelio R.,
Salas Cristian A.,
Cariñena José F.
Publication year - 2010
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.22225
Subject(s) - degeneracy (biology) , isotonic , harmonic oscillator , quantum mechanics , quantum , physics , limit (mathematics) , work (physics) , harmonic , classical mechanics , mathematics , mathematical analysis , medicine , bioinformatics , biology
In this work we study the isotonic oscillator, V ( x ) = Ax 2 + Bx −2 , on the whole line −∞ < x < + ∞ as an example of a one‐dimensional quantum system with energy level degeneracy. A symmetric double‐well potential with a finite barrier is introduced to study the behavior of energy pattern between both limit: the harmonic oscillator (i.e., a system without degeneracy) and the isotonic oscillator (i.e., a system with degeneracy). © 2009 Wiley Periodicals, Inc. Int J Quantum Chem, 2010