Year: 2002
Type: article
Abstract: We prove explicitly that to every discrete semi–bounded Hamiltonian with constant degeneracy, and with a finite sum of the squares of the reciprocal of its eigenvalues and whose eigenvectors span the entire Hilbert space, there exists a characteristic self–adjoint time operator that is canonically conjugate to the Hamiltonian in a dense subspace of the Hilbert space. Moreover, we show that each characteristic time operator generates an uncountable class of self–adjoint operators canonically conjugate to the same Hamiltonian in the same dense subspace.
Author: Eric A. Galapon
Institution: University of the Philippines Diliman
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2134014053