https://doi.org/10.1140/epjp/s13360-022-03248-8
Regular Article
Dynamics of the free time-dependent effective mass
1
Department of Physics, Brahmananda Keshab Chandra College, 700108, Kolkata, India
2
Department of Physics, Acharya Prafulla Chandra College, 700131, Kolkata, India
Received:
7
June
2022
Accepted:
30
August
2022
Published online:
8
September
2022
The consensus is that an object with a large mass will not manifest quantum behavior. Therefore, we expect that the quantumness of a time-dependent effective mass (TDEM) will erase after a long time when the mass profile continuously grows with time. However, the present article depicts that the Wigner quasi-probability distribution (WQD) will manifest an entanglement behavior forever for two spatially separated free TDEMs. The time-dependent Schrödinger equation for a free particle with TDEM has been solved with the help of the Lewis–Riesenfeld phase-space invariant method. WQD for the system of two identical TDEMs with quadratically increasing mass profiles shows that the particles are never separated. In particular, their reminiscent is present at the origin of the phase-space forever.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
