Results 261 to 270 of about 109,495 (298)

SO(2) and the study of the infinite-well potential

American Journal of Physics, 1977
We identify the symmetry group of the one-dimensional infinite-well potential problem as SO(2). By studying the irreducible representations of the SO(2) group we obtain the eigenvalues and eigenkets for the problem.
Dennis Aebersold, Andrew Langerman
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On the harmonic oscillator inside an infinite potential well

American Journal of Physics, 1988
The exact solution to Schrödinger’s equation for a three-dimensional harmonic oscillator confined by two impenetrable walls is presented. The energy levels of this system are obtained as a function of wall separation as well as distance of the center of the oscillator to the walls.
J. L. Marin, S. A. Cruz
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Infinite systems of potential wells

Journal d'Analyse Mathématique, 1992
This article is a short presentation of the results obtained in the last twelve years in the semiclassical study of the tunneling effect for the Schrödinger operator. The emphasis is on results where near a given energy the energy surface has an infinite number of connected components. The author presents recent results obtained by \textit{U. Carlsson}
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Extending the class of solvable potentials. I. The infinite potential well with a sinusoidal bottom

Journal of Mathematical Physics, 2008
This is the first in a series of papers where we succeed in enlarging the class of exactly solvable potentials in one and three dimensions by obtaining solutions for new relativistic and nonrelativistic problems. This is accomplished by constructing a matrix representation of the wave operator in a complete square integrable basis that makes it ...
Alhaidari, A. D., Bahlouli, H.
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Quantum Chaos of a Kicked Particle in an Infinite Potential Well

Physical Review Letters, 1999
We study quantum chaos in a non-KAM system exemplified by a particle in an infinite potential well subject to a periodic kicking force. For a small perturbation $K$, the classical phase space displays a stochastic web structure, and the diffusion coefficient scales as $D\ensuremath{\propto}{K}^{2.5}$.
Bambi Hu, Baowen Li, Jie Liu, Yan Gu
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Energy levels of a particle in an infinite potential well with identical square-potential barriers

Infrared Physics, 1990
Abstract We have evaluated the energy levels of a particle in an infinite potential well containing identical square-potential barriers of equal width and separation, in a symmetric as well as an asymmetric arrangement, as functions of the number and height of the potential barriers.
B. Heimgartner, P. Leuenberger, H.U. Wiedmer, M. Zweiacker, F.K. Kneubühl   +4 more
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Degeneracy and Symmetry of the Infinite Potential Well

Theoretical and Natural Science
This paper solves the wavefunctions and energy level formulas of two types of three-dimensional infinite deep cubic potential wells and three-dimensional infinite deep spher-ical potential wells, and studies their degeneracy to elucidate how symmetry governs energy level degeneracy in quantum systems.
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Adiabatic description of impenetrable particles in an infinitely deep potential well

Journal of Contemporary Physics (Armenian Academy of Sciences), 2012
In the framework of adiabatic approximation the energy spectrum and wave functions of two impenetrable particles in an infinitely deep potential well are considered for two cases of approximation of the effective confining potential of the “slow” subsystem. In case of the quadraticterm approximation the obtained energy spectrum is equidistant.
D. B. Hayrapetyan, E. M. Kazaryan
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External field induced chaos in an infinite square well potential

Physica D: Nonlinear Phenomena, 1986
We study the motion of a particle in an infinite square well potential in the presence of a monochromatic external field. The equations of motion of this system have a particularly simple structure compared to other driven nonlinear systems, and yet the system exhibits a transition to chaotic behavior.
Lin, W. A., Reichl, L. E.
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Numerical Calculations of Energies for an Infinite Potential Well with Sinusoidal Bottom

Jordan Journal of Physics, 2022
Abstract: We present an investigation for a particle confined in an infinite well with sinusoidal bottom, using the perturbation theory and numerical solution for the Schrödinger equation to obtain the eigen energies and wavefunctions. Potential strength and potential oscillation dependence of the state are examined and analyzed.
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