A recursion relation for matrix elements of the quantum bouncer. Comment on "a quantum bouncing ball," by Julio Gea-Banacloche

American Journal of Physics

Volumn 68, Issue 9, 2000, Pages 866-868

  Goodmanson, David M ^a  

^a NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040197812     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.1302731     Document Type: Article

References (6)

1. In this paper, all integrals are from 0 to ∞.
2. J. Gea-Banacloche, "A quantum bouncing ball," Am. J. Phys. 67 (9). 776-782 (1999). Equations (35a) and (35b) correspond, respectively, to (4a) and (4b) in this paper.
3. H Goldstein, Classical Mechanics (Addison-Wesley, Reading, MA, 1980), 2nd ed., p. 85.
4. n represent different quantities than in Ref. 2.
5. m) are factors, not arguments for A or f.
6. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972), Secs. 10.4.96 and 10.4.105.