1204.5989 (Miloslav Znojil)

Crypto-unitary quantum evolution operators    [PDF]

Miloslav Znojil

For the description of quantum evolution, the use of a manifestly time-dependent quantum Hamiltonian $\mathfrak{h}(t) =\mathfrak{h}^\dagger(t)$ is shown equivalent to the work with its simplified, time-independent alternative $G\neq G^\dagger$. A tradeoff analysis is performed recommending the latter option. The physical unitarity requirement is shown fulfilled in a suitable {\em ad hoc} representation of Hilbert space.

View original: http://arxiv.org/abs/1204.5989