Generalized Coherent States and the U (n) Lie Group

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概要

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• In this paper we study the generalized coherent states (g.c.s.) in n-dimensionalspace. Their annihilation operators consist of linear combinations of the annihila-tion operators a., and their coherent states are the product of the simple coherentstates. All the known annihilation operators which have been studied as yet,and also the magnetic ones, are special cases of these operators. The new operatorsA 74. form the Lie algebra U(n) of the Lie group U(n). Finally, instead of theoperators a, and at we can use the new operators, which depend on a complexr>arameter.

• 社団法人日本物理学会の論文
• 1979-09-15

著者

• JANNUSSIS A.

  Dept.of Theoretical Physics,University of Patras,Greece The Institute for Basic Research

• Jannussis A.D.

  Department of Theoretical Physics,University of Patras

• Papaloucas L.

  Institute of Mathematics,University of Athens

• Patargias N.

  Department of Theoretical Physics, University of Patras

• Jannussis A.D.

  Department of Theoretical Physics, University of Patras

関連論文

• Exactly Soluble Harmonic Oscillator for a Particular Form of Time and Coordinates-Dependent Mass
• The Behavior of Lattice Electron in a Uniform Magnetic Field
• Scattering for Nonlocal Potentials in One Dimension
• One Dimensional Wave Function for the Effective Hamiltonian of Non-Local Potential
• Generalized Coherent States and the U (n) Lie Group
• New Creation and Annihilation Operators in Phase Space

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