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

NI Zhi-Xiang

Chinese Physics C> 2001, Vol. 25> Issue(6) : 487-493

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

NI Zhi-Xiang ^,

Department of Physics,Fuyang Teachers College,Fuyang 236032, ChinaDepartment of Physics,Xuzhou Normal University,Xuzhou 221009,China

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Abstract：
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.

References

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NI Zhi-Xiang. Nonlinear Spectrum and Generating Algebra for Infinitely Deep Square Well Potential and New Coherent State[J]. Chinese Physics C, 2001, 25(6): 487-493.

NI Zhi-Xiang. Nonlinear Spectrum and Generating Algebra for Infinitely Deep Square Well Potential and New Coherent State[J]. Chinese Physics C, 2001, 25(6): 487-493. shu

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Received: 2000-06-15
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

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

NI Zhi-Xiang ^,

Corresponding author: NI Zhi-Xiang,

Department of Physics,Fuyang Teachers College,Fuyang 236032, ChinaDepartment of Physics,Xuzhou Normal University,Xuzhou 221009,China

Received Date: 2000-06-15
Accepted Date: 1900-01-01
Available Online: 2001-06-05

Abstract: 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.