Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Acta Physica Sinica (Overseas Edition)

Coherent states for one-dimensional infinitely deep square potential well

NI Zhi-xiang

Published Mar 1, 1998• 2 citations
Publisher

Abstract

The energy spectrum-generating algebra for one-dimensional infinitely deep square potential well is constructed by using an additional phase variable, and a class of sets of the annihilation-operator coherent states are introduced. These sets are strongly continuous in their parameter on the whole complex plane and satisfy the overcompleteness relation in a curved parameter space with rotational symmetry.

DOI
10.1088/1004-423x/7/3/004

Related papers

Nonlinear Spectrum and Generating Algebra for Infinitely Deep Square Well Potential and New Coherent State

Ni Zhi

Using the Hamiltonian of symmetrical one dimersional infinitely deep square well potential and natural operators,we obtain its nonlinear spectrum and generating algebra,and get a class of new nonlinear coherent states on the basis of the nonlinear algebra obfained. These coherent states are of temporal stability,and can be regarded as the eigenstates of the lower operator with the eigenvalues in an operator field and as the rotational states of the generalized minimal uncertainly states as well.

Chinese Physics C•Jan 1, 2001•0 citations

Statistical Properties of the New Coherent State in Infinitely Deep Well Potential

NI Zhi-xiang

Using the nonlinear Lee algebra, we give a class of new coherent states for symmetrical one-dimensional infinitely deep square well potential, and we find there is a non-classical effect in these coherent states.

Journal of Fuyang Teachers College Natural Sciences•Jan 1, 2004•0 citations

Square-well potential by an algebraic approach

Sabre Kais, Raphael David Levine

The spectrum-generating algebra for the problem of a particle in a potential well is shown to be su(1,1). Both the infinitely deep and finite square wells are considered. The generators can also be derived via a systematic procedure for determining the time-dependent constants of the motion. The coherent states are explicitly constructed.

Physical Review A•Dec 1, 1986•20 citations

The hidden symmetry for a quantum system with an infinitely deep square-well potential

Shi‐Hai Dong, Zhong-Qi Ma

An infinitely deep square-well potential is studied by an SU(1,1) algebra, not by an SO(2) algebra. The creation and annihilation operators for the system are obtained from the factorization method. Closed analytical expressions for the matrix elements of some relevant functions are evaluated.

American Journal of Physics•May 1, 2002•37 citations

A realization of the dynamical group for the square-well potential and its coherent states

R. Lemus, Alejandro Frank

A realization of the ladder operators for the infinitely deep well potential is presented. Both the asymmetric and symmetric wells are discussed. It is shown that these operators satisfy the commutation relations for the SU (1, 1) group. Closed analytical expressions for the matrix elements of some relevant functions are obtained. Perelomov coherent states for this system are explicitly constructed. The behaviour of the dispersion relation and the time evolution for such states are examined.

Journal of Physics A Mathematical and General•Apr 14, 2003•7 citations

General sets of coherent states and the Jaynes$ndash$Cummings model

Mohammed Daoud A, Véronique Hussin

General sets of coherent states are constructed for quantum systems admitting a nondegenerate infinite discrete energy spectrum. They are eigenstates of an annihilation operator and satisfy the usual properties of standard coherent states. The application of such a construction to the quantum optics Jaynes–Cummings model leads to a new understanding of the properties of this model.

Journal of Physics A Mathematical and General•Aug 13, 2002•38 citations
The energy spectrum-generating algebra for one-dimensional infinitely deep square potential well is constructed by using an additional phase variable, and a class of sets of the annihilation-operator coherent states are introduced. These sets are strongly continuous in their parameter on the whole complex plane and satisfy the overcompleteness relation in a curved parameter space with rotational symmetry.
General sets of coherent states and the JaynesndashndashndashCummings model