Quantum first time-of-arrival operators
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Publication:3544840
DOI10.1088/1751-8113/41/45/455302zbMath1152.81018OpenAlexW2037497210MaRDI QIDQ3544840
Anthony Villanueva, Eric A. Galapon
Publication date: 8 December 2008
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1751-8113/41/45/455302
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)
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A one-particle time of arrival operator for a free relativistic spin-\(0\) charged particle in \((1+1)\) dimensions ⋮ The Pauli objection ⋮ Nonautonomous Hamiltonian quantum systems, operator equations, and representations of the Bender-Dunne Weyl-ordered basis under time-dependent canonical transformations ⋮ The Bender-Dunne basis operators as Hilbert space operators ⋮ Generalized Weyl transform for operator ordering: Polynomial functions in phase space ⋮ A relativistic one-particle Time of Arrival operator for a free spin-\(1/2\) particle in \((1+1)\) dimensions ⋮ Spectral problems for the Weyl-ordered form of operators $\left(\frac{1}{\hat{p}}\right)^{n} \hat{q}^{n}$1p̂nq̂n ⋮ Quantum time of arrival Goursat problem
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