Quantum dynamics in a time-dependent hard-wall spherical trap

Mousavi, S. V.

doi:10.1209/0295-5075/99/30002

Cited by 18 publications

(25 citation statements)

References 17 publications

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“…B. Quantum particle in an infinite spherical-well potential and quantum effective force For a particle with mass µ inside an infinite spherical-well potential with radius L(t) = a + ut, exact solutions of the Schrödinger equation (2) read [5]…”

Section: Quantum Effective Forcementioning

confidence: 99%

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Quantum effective force and Bohmian approach to time-dependent traps

Mousavi¹

2014

Phys. Scr.

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Trajectories of a Bohmian particle confined in time-dependent cylindrical and spherical traps are computed for both contracting and expanding boxes. Quantum effective force is considered in arbitrary directions. It is seen that in contrast to the problem of a particle in an infinite rectangular box with one wall in motion, if particle initially is in an energy eigenstate of a tiny box the force is zero in all directions. Trajectories of a two-body system confined in the spherical trap are also computed for different statistics. Computations show that there are situations for which distance between bosons is greater than the fermions. However, results of average separation of the particles confirm our expectation about the statistics.

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Section: Quantum Effective Forcementioning

confidence: 99%

“…Figure 2 represents trajectories for particle in a spherical trap. Here, particle initially is in the ground state u 010 (r, θ, φ) = 2/a sin(πr/a)Y 00 (Ω)/r which corresponds to a particle in a 1D square box [5].…”

Section: B Spherical Boxmentioning

confidence: 99%

Quantum effective force and Bohmian approach to time-dependent traps

Mousavi¹

2014

Phys. Scr.

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“…Several other works appeared, dealing with specific box shapes [44,45], aimed at giving proper mathematical treatment of the Schrödinger problem in the presence of moving boundaries [46], and exploring the raise of correlations between different particles confined in the same time-dependent potential [47]. Very recently, some works reporting on the numerical resolution of the dynamics of a particle confined in a one-dimensional box with moving walls has appeared [48,49].…”

Section: Introductionmentioning

confidence: 99%

Resonant Transitions Due to Changing Boundaries

Anzà

Messina

2019

Open Syst. Inf. Dyn.

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The problem of a particle confined in a box with moving walls is studied, focusing on the case of small perturbations which do not alter the shape of the boundary ('pantography'). The presence of resonant transitions involving the natural transition frequencies of the system and the Fourier transform of the velocity of the walls of the box is brought to the light. The special case of a pantographic change of a circular box is analyzed in depth, also bringing to light the fact that the movement of the boundary cannot affect the angular momentum of the particle.

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“…Over the decade, many papers appeared dedicated to the problem of quantum systems with boundaries. Several works are devoted to the problem of particles confined in a box, sometimes with moving walls [1][2][3][4][5][6][7] or specific shapes [8,9]. The confinement means the restriction on the motion of randomly moving particles, e.g.…”

Section: Introductionmentioning

confidence: 99%