5 citations · 10 across the 3 of their papers we have counts for
3 papers
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★ 5 cited
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…
quant-ph2022★ 5 cited
Conjugates to One Particle Hamiltonians in 1-Dimension in Differential Form
Ralph Adrian E. Farrales, Herbert B. Domingo, Eric A. Galapon
A time operator is a Hermitian operator that is canonically conjugate to a given Hamiltonian. For a particle in 1-dimension, a Hamiltonian conjugate operator in position representa…