Abstract
For a quantum mechanical two-bodys-wave resonance we prove that the evolution of square integrable approximations of the Gamow function is outgoing and exponentially damped. An error estimate is given in terms of resonance energy and explicity. We obtain the Breit-Wigner form. The results are used in an α-decay model to prove general validity of the exponential decay law for periods of several lifetimes.
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Skibsted, E.: Truncated Gamow functions and the exponential decay law (to appear)
Skibsted, E.: On the evolution of two- and three-body resonance states (to appear)
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Communicated by B. Simon
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Skibsted, E. Truncated Gamow functions, α-decay and the exponential law. Commun.Math. Phys. 104, 591–604 (1986). https://doi.org/10.1007/BF01211067
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DOI: https://doi.org/10.1007/BF01211067