| Autor: |
Ninemire †, B., Mei, W. N. |
| Předmět: |
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| Zdroj: |
International Journal of Mathematical Education in Science & Technology; Jul/Aug2004, Vol. 35 Issue 4, p565-583, 19p, 6 Charts |
| Abstrakt: |
In applying the variational method, six different sets of trial wave functions are used to calculate the ground state and first excited state energies of the strongly bound potentials, i.e. V(x) = x2m, where m = 4, 5 and 6. It is shown that accurate results can be obtained from thorough analysis of the asymptotic behaviour of the solutions. Consequently, it was found that there is a progressive qualitative change in the wave functions from the harmonic to anharmonic and then strongly bounded region, which explains why using a harmonic oscillator wave function together with the conventional perturbative approach to calculate the energy correction, was unsuccessful. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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