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arXiv · 1204.5989

Crypto-unitary forms of quantum evolution operators

Miloslav Znojil
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Abstract

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 ad hoc representation of Hilbert space.

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Miloslav Znojil. 2012-04-26. Crypto-unitary forms of quantum evolution operators. https://doi.org/10.1007/s10773-012-1451-9

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