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

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

1995-04-03

arxiv.org/abs/quant-ph/9504001v1

Physics

Quantum Physics

13 pages, plain TEX, no figures

Scientific paper

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 ${\hat Q}\psi=q\psi$. The conserved quantities are constructed using parametrised mechanics and the Noether theorem.

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