Generalized Coherent States and the U(n) Lie Group

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  • Generalized Coherent States and the <I>U</I>(<I>n</I>) Lie Group
  • Generalized Coherent States and the U n

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In this paper we study the generalized coherent states (g.c.s.) in n-dimensional space. Their annihilation operators consist of linear combinations of the annihilation operators al, and their coherent states are the product of the simple coherent states. All the known annihilation operators which have been studied as yet, and also the magnetic ones, are special cases of these operators. The new operators Ak+Am form the Lie algebra U(n) of the Lie group U(n). Finally, instead of the operators al and al+ we can use the new operators, which depend on a complex parameter.

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