Composite Quantum Coriolis Forces

In a consistent quantum theory known as “non-Hermitian interaction picture” (NIP), the standard quantum Coriolis operator Σ ( t ) emerges whenever the observables of a unitary system are given in their quasi-Hermitian and non-stationary rather than “usual” representations. With Σ ( t ) needed, in NIP, in both the Schrödinger-like and Heisenberg-like dynamical evolution equations we show that another, amended and potentially simplified theory can be based on an auxiliary N − term factorization of the Dyson’s Hermitization map Ω ( t ) . The knowledge of this factorization is shown to lead to a multiplet of alternative eligible Coriolis forces Σ n ( t ) with n = 0 , 1 , … , N . The related formulae for the measurable predictions constitute a new formalism refered to as “factorization-based non-Hermitian interaction picture” (FNIP). The conventional NIP formalism (where N = 1 ) becomes complemented by an ( N − 1 ) -plet of its innovative “hybrid” alternatives. Some of the respective ad hoc adaptations of observables may result in an optimal representation of quantum dynamics.