Degeneracy in one‐dimensional quantum mechanics: A case study | Zendy

Matamala Adelio R. | Zendy; Salas Cristian A. | Zendy; Cariñena José F. | Zendy

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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

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