Journal
EUROPEAN JOURNAL OF PHYSICS
Volume 32, Issue 3, Pages 723-732Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0143-0807/32/3/008
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We propose a simple and straightforward method based on Wronskians for the calculation of bound-state energies and wavefunctions of one-dimensional quantum-mechanical problems. We explicitly discuss the asymptotic behaviour of the wavefunction and show that the allowed energies make the divergent part vanish. As illustrative examples we consider an exactly solvable model, the Gaussian potential well, and a two-well potential proposed earlier for the interpretation of the infrared spectrum of ammonia.
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