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• W3103293248 endingPage "244037" @default.
• W3103293248 startingPage "244037" @default.
• W3103293248 abstract "Nonlinear fermions of degree $n$ ($n$-fermions) are introduced as particles with creation and annihilation operators obeying the simple nonlinear anticommutation relation $AA^dagger + {A^dagger}^n A^n = 1$. The ($n+1$)-order nilpotency of these operators follows from the existence of unique $A$-vacuum. Supposing appropreate ($n+1$)-order nilpotent para-Grassmann variables and integration rules the sets of $n$-fermion number states, 'right' and 'left' ladder operator coherent states (CS) and displacement-operator-like CS are constructed. The $(n+1)times(n+1)$ matrix realization of the related para-Grassmann algebra is provided. General $(n+1)$-order nilpotent ladder operators of finite dimensional systems are expressed as polynomials in terms of $n$-fermion operators. Overcomplete sets of (normalized) 'right' and 'left' eigenstates of such general ladder operators are constructed and their properties briefly discussed." @default.
• W3103293248 created "2020-11-23" @default.
• W3103293248 creator A5016170039 @default.
• W3103293248 date "2012-05-30" @default.
• W3103293248 modified "2023-10-18" @default.
• W3103293248 title "Nonlinear fermions and coherent states" @default.
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• W3103293248 doi "https://doi.org/10.1088/1751-8113/45/24/244037" @default.
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