Linear Pseudo-fermions

Abstract

In a recent series of papers we have analyzed a certain deformation of the canonical commutation relations producing an interesting functional structure which has been proved to have some connections with physics, and in particular with quasi-hermitian quantum mechanics. Here we repeat a similar analysis starting with the canonical anticommutation relations. We will show that in this case most of the assumptions needed in the former situation are automatically satisfied, making our construction rather {\em friendly}. We discuss some examples of our construction, again related to quasi-hermitian quantum mechanics, and the bi-coherent states for the system.

accepted in Journal of Physics A

References in corpus (2)

• Making Sense of Non-Hermitian Hamiltonians
• Fermionic coherent states for pseudo-Hermitian two-level systems

Cited by in corpus (10)

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• Model pseudofermionic systems: connections with exceptional points
• Some results on the dynamics and transition probabilities for non self-adjoint hamiltonians
• A concise review on pseudo-bosons, pseudo-fermions and their relatives
• Damping and Pseudo-fermions
• Finite-dimensional pseudo-bosons: a non-Hermitian version of the truncated harmonic oscillator
• Quantum mechanical settings inspired by RLC circuits
• Topological decompositions of the Pauli group and their influence on dynamical systems
• Pseudo-Hermitian systems, involutive symmetries and pseudofermions