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Some Comments on q‐Calculus of a Harmonic Oscillator
Author(s) -
Chatterjee R.
Publication year - 1994
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221860215
Subject(s) - harmonic oscillator , fibonacci number , eigenvalues and eigenvectors , quantum harmonic oscillator , mathematics , sequence (biology) , calculus (dental) , quantum , harmonic number , pure mathematics , algebra over a field , quantum mechanics , physics , discrete mathematics , riemann hypothesis , medicine , dentistry , biology , genetics
The eigenvalues of a q‐deformed quantum harmonic oscillator are shown to be a Fibonacci number sequence for a particular choice of q‐values. The necessary details of its derivation and the justification are provided.