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quant-ph2025
Canonical pairs in finite-dimensional Hilbert space
Ralph Adrian E. Farrales, Eric A. Galapon
A pair of Hermitian operators is canonical if they satisfy the canonical commutation relation. It has been believed that no such canonical pair exists in finite-dimensional Hilbert…
quant-ph2024
Characteristic time operators as quantum clocks
Ralph Adrian E. Farrales, Eric A. Galapon
We consider the characteristic time operator introduced in [E. A. Galapon, Proc. R. Soc. Lond. A, 458:2671 (2002)] which is bounded and self-adjoint. For a semibounded…