Quantum mechanics of time-dependent systems. Construction of pure states
Victor Tapia
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 Qψ=qψ. The conserved quantities are constructed using parametrised mechanics and the Noether theorem.
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