Poles, bound states, and resonances illustrated by the square well potential

American Journal of Physics

Volumn 64, Issue 2, 1996, Pages 136-144

  Sprung, D W L ^a   Wu, Hua ^a   Martorell, J ^b  

^a MCMASTER UNIVERSITY   (Canada)

^b UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030555066     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18131     Document Type: Article

References (8)

1. D. W. L. Sprung, Hua Wu, and J. Martorell, "A New Look at the Square Well Potential," Eur. J. Phys. 13, 21-25 (1992).
2. P. H. Pitkanen "Rectangular potential well problem in quantum mechanics," Am. J. Phys. 23, 111-113 (1955).
3. R. G. Newton, Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966).
4. H. M. Nussenzweig, Causality and Dispersion Relations (Academic, New York, 1972).
5. C. Cohen-Tannoudji, B. Diu, and F. Laloë, Quantum Mechanics (Wiley, New York, 1977), Vol. 1, p. 76.
6. H. M. Nussenzweig, "Poles of the S-Matrix of a Rectangular Potential Well or Barrier," Nucl. Phys. 11, 499-521 (1959).
7. T. A. Weber, C. L. Hammer, and V. S. Zeidell, "Resonances and analyticity of scattering wave function for square well type potentials," Am. J. Phys. 50, 839-845 (1981).
8. E. Merzbacher, Quantum Mechanics (Wiley, New York, 1970), 2nd ed., pp. 80-115.