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- W4311923773 abstract "The exponential decay law is well established since its first derivation in 1928; however, it is not exact but only an approximate description. In recent years some experimental and theoretical indications for non-exponential decay have been documented. First we solve analytically the time-dependent Schrödinger equation in one dimension for a potential consisting of an infinite wall plus a rectangular barrier with finite width and also a cut harmonic oscillator potential by considering it as a sequence of square potentials. Then using the staggered Leap-Frog method, we solve the time-dependent Schrödinger equation for the cut harmonic oscillator potential. In both methods, time dependence of the survival probability of the particle and the decay parameter ( lambda ) are analyzed. The results exhibit non-exponential behavior for survival probability at short and intermediate times." @default.
- W4311923773 created "2023-01-02" @default.
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- W4311923773 date "2022-12-09" @default.
- W4311923773 modified "2023-10-10" @default.
- W4311923773 title "Analysis of quantum decay law: is quantum tunneling really exponential?" @default.
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- W4311923773 doi "https://doi.org/10.1140/epjp/s13360-022-03525-6" @default.
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