Summary
Two exactly solvable models which exhibit the « collapse » of the particle towards the center (E0 → - ∞) in the superposition of two potentials with finite E0 are proposed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. D. Landau andE. M. Lifshitz:Quantum Mechanics. Nonrelativistic Theory (Pergamon Press, London, 1977), p. 114.
S. P. Alliluev:Sov. Phys. JETP,34, 8 (1972).
J. F. Liebman andE. D. Yorke:Am. J. Phys.,51, 274 (1972).
A.A. Berezin:Phys. Status Solidi B,50, 71 (1972).
A.A. Berezin:J. Phys. C,12, L363 (1979).
Yu. N. Demkov andV. N. Ostrovskii:Method of Zero-radius Potential in Atomic Physics (Leningrad University Press, 1975), p. 44 (in Russian).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Berezin, A.A. Two exactly solvable models for the collapse of the particle to the center in a nonrelativistic quantum mechanics. Lett. Nuovo Cimento 40, 145–146 (1984). https://doi.org/10.1007/BF02747115
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02747115