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The construction of Gel'fand triplet space structure for Infinite Potential Well System [PDF]
Reports on Mathematical Physics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Genç, Onur, Uncu, Haydar
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Infinite Square-Well Potential with a Moving Wall
American Journal of Physics, 1969The problem of a particle in a one-dimensional infinite square-well potential with one wall moving at constant velocity is treated by means of a complete set of functions which are exact solutions of the time-dependent Schrödinger equation. Comparison is made with a first-order perturbation treatment, and numerical results are presented for a particle ...
S. W. Doescher, M. H. Rice
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Practical Stabilization of a Quantum Particle in a One-Dimensional Infinite Square Potential Well [PDF]
SIAM Journal on Control and Optimization, 2009 We consider a nonrelativistic charged particle in a one-dimensional infinite square potential well. This quantum system is subjected to a control, which is a uniform (in space) timedepending electric field. It is represented by a complex probability amplitude solution of a Schr¨odinger equation on a one-dimensional bounded domain, with Dirichlet ...
Beauchard, Karine, Mirrahimi, Mazyar
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On Boundary Conditions for an Infinite Square-Well Potential in Quantum Mechanics
American Journal of Physics, 1971A well-known problem of an infinite square-well potential in quantum mechanics furnishes an interesting boundary condition. We investigate this in detail by considering the infinite square-well potential as a limiting case of an finite square-well potential.
Ryoichi Seki
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The infinite square well potential in momentum space
European Journal of Physics, 2020Abstract We address an interesting problem in elementary quantum mechanics, namely how can one obtain the momentum state eigenfunctions for the infinite square well potential as a direct solution of the time-independent Schrödinger equation in momentum space.
Alberto G Rojo, P R Berman
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The momentum entropy of the infinite potential well
Journal of Physics A: Mathematical and General, 1999Summary: This paper deals with the determination of the momentum information entropy for the infinite potential well in dependence on its quantum states and presents an asymptotical formula for the information entropy in its momentum space. The upper bound of the sum of the position and momentum information entropies for the stationary states of the ...
Majerník, V. +2 more
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