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Morales, Juan C.; Arango, Carlos A.

An alternative method to obtain analytical solutions of the time-independent Schrödinger equation. (English) Zbl 1515.97013

Int. J. Math. Educ. Sci. Technol. 54, No. 1, 151-158 (2023).

MSC:

97M50 Physics, astronomy, technology, engineering (aspects of mathematics education)

Keywords:

quantum harmonic oscillator; Hermite equation; confluent hypergeometric differential equation; associated Laguerre differential equation

Software:

Parampool
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Full Text: DOI

References:

[1] Abramowitz, M.; Stegun, I. A., Handbook of mathematical functions (1972), National Bureau of Standards · Zbl 0543.33001
[2] Atkins, P.; Friedman, R. S., Molecular quantum mechanics (2011), Oxford
[3] Derrick, W.; Grossman, S. I., Elementary differential equations (1997), Pearson · Zbl 0900.34002
[4] Langtangen, H.; Pedersen, G., Scaling of differential equations (2016), Springer · Zbl 1382.35001
[5] Morse, M.; Feshbach, H., Methods of theoretical physics (1953), McGraw-Hill · Zbl 0051.40603
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