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Logarithmic perturbation theory for a spiked oscillator and sum rules
Author(s) -
Bandyopadhyay S. K.,
Bhattacharyya K.
Publication year - 2005
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.20472
Subject(s) - logarithm , wave function , perturbation (astronomy) , perturbation theory (quantum mechanics) , excited state , harmonic oscillator , quantum mechanics , quantum , transition of state , physics , mathematical physics , mathematics , mathematical analysis , coherent states
We show that logarithmic perturbation theory nicely yields the wavefunction correction terms in closed forms for the spiked perturbation λ/ x 2 on the first excited state of the harmonic oscillator, where the conventional Rayleigh‐Schrödinger scheme is known to encounter serious problems. The study also provides a direct route to obtain several sum rules, some of which appear to be new. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2005