Summary
With the aid of a simple example we illustrate how to approach decaying quantum-mechanical states from the point of view of stochastic mechanics. The life-time and the time scale over which the decay is exponential are naturally related to typical quantities describing the behaviour of the associated diffusion processes.
Similar content being viewed by others
References
L. Fonda, G. C. Ghirardi andA. Rimini:Rep. Prog. Phys.,41, 587 (1978).
S. Coleman:Phys. Rev. D,15, 2929 (1977);S. Coleman andC. Callan:Phys. Rev. D,16, 1762 (1977).
E. Nelson:Dynamical Theories of Brownian Motion (Princeton, N.J., 1967).
A. D. Ventzel andM. I. Freidlin:Usp. Mat. Nauk,25, 3 (1970).Russ. Math. Surveys,25, 1 (1970)).
G. Jona-Lasinio, F. Martinelli andE. Scoppola:Commun. Math. Phys.,80, 223 (1981);Phys. Rep.,77, 313 (1981).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Jona-Lasinio, G., Martinelli, P. & Scoppola, E. Decaying quantum-mechanical states: An informal discussion within stochastic mechanics. Lett. Nuovo Cimento 34, 13–17 (1982). https://doi.org/10.1007/BF02817143
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02817143