Abstract
The object of this paper is to point out that the hypothesis of decaying states,i.e., states with amplitude having a factor eγt (γ-real) is not compatible with the wave equation with a hermitian hamiltonian. An attempt has been made to obtain the expression for relative population density in general. It is shown that the usual expressions for the transition rates, which are proportional to time, may be obtained for a very restricted interval of time.
Similar content being viewed by others
References
Breit G 1933Mod. Phys. 5 91
Breit G and Wigner E 1936Phys. Rev. 49 519.
Fermi E 1932Rev. Mod. Phys. 4 87
Halany A 1966Differential Equations (Rumanian), English Translation (New York and London, Academic Press)
Schrödinger E 1926Ann. d. Physik (Sr. 4)81 112
Sen Gupta N D 1970a Rev. Roum. Phys. 15 1003
Sen Gupta N D 1970b Rev. Roum. Phys. 15 1151
Sen Gupta N D 1970c J. Phys. A (Gen. Phys.) 3 618
Sen Gupta N D 1972J. Phys. A (Gen Phys.) 5 401
Sen Gupta N D 1973a Phys. Rev. A 7 891
Sen Gupta N D 1973b 1 165
Weisskopf V and Wigner E 1930a Zeit. f. Physik 63 54
Weisskopf V and WignerF 1930b Zeit. f. Physik 65 10
Weisskopf V 1933Zeir. f. Physik 85 451
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sen Gupta, N.D. On the decaying states and the transition rates. Pramana - J Phys 3, 363–369 (1974). https://doi.org/10.1007/BF02846631
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02846631