Physics – Quantum Physics
Scientific paper
2003-02-05
Phys. Rev. Let. 93, 180406 (2004)
Physics
Quantum Physics
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Scientific paper
10.1103/PhysRevLett.93.180406
We show that formulating the quantum time of arrival problem in a segment of the real line suggests rephrasing the quantum time of arrival problem to finding states that evolve to unitarily collapse at a given point at a definite time. For the spatially confined particle, we show that the problem admits a solution in the form of an eigenvalue problem of a compact and self-adjoint time of arrival operator derived by a quantization of the classical time of arrival, which is canonically conjugate with the Hamiltonian in closed subspace of the Hilbert space.
Bahague Ricardo T. Jr.
Caballar Roland F.
Galapon Eric A.
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