Invariants and Coherent States for Nonstationary Fermionic Forced Oscillator

TL;DR

This paper derives the most general Hamiltonian form for nonstationary fermionic oscillators that preserve coherent states over time, and constructs invariant operators, Fock states, and coherent states for such systems.

Contribution

It introduces a comprehensive Hamiltonian framework for nonstationary fermionic oscillators that maintain coherent states, expanding the understanding of fermionic quantum dynamics.

Findings

Derived the most general Hamiltonian preserving fermionic coherent states.

Constructed invariant creation and annihilation operators for nonstationary systems.

Developed Fock and coherent states for the nonstationary forced fermion oscillator.

Abstract

The most general form of Hamiltonian that preserves fermionic coherent states stable in time is found in the form of nonstationary fermion oscillator. Invariant creation and annihilation operators and related Fock states and coherent states are built up for the more general system of nonstationary forced fermion oscillator.