Composite Quantum Coriolis Forces

نویسندگان

چکیده

The classical Coriolis force finds its quantum analogue in the difference $\Sigma(t)=H(t)-G(t)$ where ``true'', observable Hamiltonian $H(t)$ represents instantaneous energy. other, ``false'' $G(t)$ generates time-evolution of wave functions. Whenever $\Sigma(t)\neq 0$, mechanics acquires an interaction-picture form. Then, every is generated by operator $\Sigma(t)$ ({\it alias} ``Heisenberg'' Hamiltonian) itself. In paper a sequence alternative formulae for derived under assumption $N-$term factorization Dyson-map $\Omega(t)$ (defined as converting preselected quasi-Hermitian into conventional self-adjoint avatar). It shown that resulting innovative formalism called ``factorization-based non-Hermitian interaction picture'' (FNIP) one has choice between $N+1$ forms description dynamics, which may prove, underlying system, optimal. For illustration, ``wrong-sign'' anharmonic oscillator model recalled.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11061375