Wave packet dynamics for a system with position and time-dependent effective mass in an infinite square well

Vubangsi, M.; Tchoffo, Martin; Fai, Lukong Cornelius; Pis’mak, Yu. M.

doi:10.1063/1.4937552

Cited by 4 publications

(2 citation statements)

References 26 publications

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“…which appears to be effective in modeling the transport phenomena in the electronic band structure [74]. In particular, ( 54) is incorporated to account for phenomena such as electronphonon scattering that orchestrate relaxation in charge carrier energy observed in nanostructures [74,75]. (54) implies…”

Section: Toy Modelmentioning

confidence: 99%

Dynamics of free time-dependent effective mass

Patra¹,

Chowdhury²,

Jana³

2022

Preprint

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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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Section: Toy Modelmentioning

confidence: 99%

Dynamics of free time-dependent effective mass

Patra¹,

Chowdhury²,

Jana³

2022

Preprint

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show abstract

“…In effect, t m ( ) stands for effective mass that varies with time. Recently, molecular systems and other dynamical systems with time-dependent effective mass, as well as position-dependent effective mass, became a topic of research [7,37,40,[52][53][54][55][56][57][58][59][60]. In some cases, effective mass of a molecule in a system may vary through its interaction with the environment or various excitations such as energy, temperature, stress, pressure, phonon, etc.…”

Section: Hamiltonian and Invariantmentioning

confidence: 99%

Quantum features of molecular interactions associated with time-dependent non-central potentials

2017

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The research for quantum features of molecular Coulomb interactions subjected to a time-dependent non-central potential has many applications. The wave functions of this system can be obtained by using an invariant operator, which is necessary for investigating a time-dependent Hamiltonian system. Regarding time dependence of the system, one can confirm that the formula of this operator is in general somewhat complicated. Hence, in order to solve its eigenvalue equation, special mathematical techniques beyond separation of variables method, such as the unitary transformation method, the Nikiforov-Uvarov method, and the asymptotic iteration method, should be employed. The double ring-shaped generalized non-central potential of which evolution explicitly depends on time is introduced as a particular case. The complete quantum solutions of the system can be identified from the eigenstates of the invariant operator. These solutions are useful for analyzing dynamical properties of the system.

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Time-dependent wave packet’s dynamics of a particle confined in the linear potential

Wang,

Feng

2024

Eur. Phys. J. D

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Wave packet dynamics for a system with position and time-dependent effective mass in an infinite square well

Abstract: The problem of a particle with position and time-dependent effective mass in a one-dimensional infinite square well is treated by means of a quantum canonical formalism. The dynamics of a launched wave packet of the system reveals a peculiar revival pattern that is discussed.

Cited by 4 publications

References 26 publications

Dynamics of free time-dependent effective mass

Dynamics of free time-dependent effective mass

Quantum features of molecular interactions associated with time-dependent non-central potentials

Time-dependent wave packet’s dynamics of a particle confined in the linear potential

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