Pregled bibliografske jedinice broj: 194481
Existence of time operator for a singular harmonic oscillator
Existence of time operator for a singular harmonic oscillator // The Old and New Concepts of Physics, 2 (2005), 1-2; 49-57 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 194481 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Existence of time operator for a singular harmonic oscillator
Autori
Mikuta-Martinis, Vesna ; Martinis, Mladen
Izvornik
The Old and New Concepts of Physics (1733-8026) 2
(2005), 1-2;
49-57
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
time operator; singular harmonic oscillator; SU(1; 1) group
Sažetak
The time operator for a quantum singular oscillator of the Calogero-Sutherland type is constructed in terms of the generators of the SU(1, 1) group. In the space spanned by the eigenstates of the Hamiltonian, the time operator is not self-adjoint. We show, that the time-energy uncertainty relation can be given the meaning within the Barut-Girardello coherent states defined for the singular oscillator.We have also shown the relationship with the time-of-arrival operator of Aharonov and Bohm.
Izvorni jezik
Engleski
Znanstvena područja
Fizika
