Abstract
We generalize Shucker's result on the asymptotically-classical behaviour of the quantum system with zero potential in Nelson's stochastic interpretation of quantum mechanics to the case of the one-dimensional potential scattering.
Similar content being viewed by others
References
Shucker, D.S., Lett. Math. Phys. 4, 61–65 (1980).
Shucker, D.S., J. Funct. Anal. 38, 146–155 (1980).
Marčenko, V.A., Operatory Šturma—Liouvill'a i ih priloženia, Kiev 1977, Ch. 3, § 5, pp. 264–266.
Chadan, K. and Sabatier, P.C., Inverse Problems in Quantum Scattering Theory, 1977, Ch. 5, p. 17.
Reed, M. and Simon, B., Methods of Modern Mathematical Physics, III: Scattering Theory, 1979, ch. XI. 4, XI. 6; IV: Analysis of Operators, 1978, ch. XIII. 8.
Deift, P. and Trubowitz, E., Comm. Pure Appl. Math. 32, 121–251 (1979).
Fedorjuk, M.V., Metod perevala, Moscow, 1977, ch. III, § 1.5, 107.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Biler, P. Stochastic interpretation of potential scattering in quantum mechanics. Lett Math Phys 8, 1–6 (1984). https://doi.org/10.1007/BF00420034
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00420034