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Quantum mechanics of time-dependent systems. Construction of pure states

Victor Tapia
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Abstract

For time-dependent systems the wavefunction depends explicitly on time and it is not a pure state of the Hamiltonian. We construct operators for which the above wavefunction is a pure state. The method is based on the introduction of conserved quantities $Q$ and the pure states are defined by ${\hat Q}ψ=qψ$. The conserved quantities are constructed using parametrised mechanics and the Noether theorem.

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Victor Tapia. 1995-04-03. Quantum mechanics of time-dependent systems. Construction of pure states. https://arxiv.org/abs/quant-ph/9504001

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