Issue |
EPL
Volume 139, Number 6, September 2022
|
|
---|---|---|
Article Number | 60001 | |
Number of page(s) | 7 | |
Section | General physics | |
DOI | https://doi.org/10.1209/0295-5075/ac8e2a | |
Published online | 13 September 2022 |
Quantum tunneling decay due to a resonance state of negative energy and a decaying width
1 Instituto de Física, Universidad Nacional Autónoma de México - 04510 Ciudad de México, Mexico
2 Facultad de Ciencias, Universidad Autónoma de Baja California - 22800 Ensenada, Baja California, Mexico
(a) E-mail: gaston.gyc@gmail.com (corresponding author)
(b) E-mail: romo@uabc.mx
Received: 4 May 2022
Accepted: 31 August 2022
By using an exact analytical formalism for quantum tunneling decay we show the existence of a regime of purely nonexponential decay for the survival probability in the full time interval and a propagating probability density along the external interaction region that evolves as a spreading process having no wavefront. This decaying regime follows from a complex pole of the propagator which in the wave number plane possesses an imaginary part larger than the corresponding real part, which implies a negative resonance energy and a decaying width, together with a dominant large overlap of the initial decaying state with the corresponding resonant state of the problem.
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