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European Journal of Physics

Second quantisation, variational principle and perturbation series for the anharmonic oscillator

Biswanath Rath

Published May 1, 1990• 6 citations
Publisher
DOI
10.1088/0143-0807/11/3/110

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It is observed that variationally calculated wavefunctions do not satisfy orthogonality relation when tested for the potentials like anharmonic oscillator and deviated hydrogen atom type. A new approach is suggested using quasi-states only to correlate between variationally calculated wavefunctions and orthogonality relation using perturbation theory considering the anharmonic oscillator example. Analytically expression for energy levels of the anharmonic oscillator are calculated up to the second order. A test for convergency of the perturbation theory is also discussed.