A method for choosing an initial time eigenstate in classical and quantum systems
DOI10.3390/e15062415zbMath1305.81069OpenAlexW1965092098MaRDI QIDQ742781
Mónica Noemí Jiménez-García, Gabino Torres-Vega
Publication date: 19 September 2014
Published in: Entropy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3390/e15062415
commutatorsenergy-time coordinatesenergy-time eigenfunctionstime in classical systemstime in quantum systemscommutators in classical systems
General and philosophical questions in quantum theory (81P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General mathematical topics and methods in quantum theory (81Q99)
Cites Work
- Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators
- Positive-operator-valued time observable in quantum mechanics
- Bypassing Pauli's theorem
- Time of Arrival Operator
- Quantum Mechanical Operator of Time
- TIME OPERATORS OF A HAMILTONIAN WITH PURELY DISCRETE SPECTRUM
- Quantum-like picture for intrinsic, classical, arrival distributions
- Quantum mechanics as an approximation to classical mechanics in Hilbert space
- Pauli's theorem and quantum canonical pairs: the consistency of a bounded, self–adjoint time operator canonically conjugate to a Hamiltonian with non–empty point spectrum
- Self–adjoint time operator is the rule for discrete semi–bounded Hamiltonians
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