TIME OF ARRIVAL OPERATOR IN THE MOMENTUM SPACE

被引：3

作者：

Schlichtinger, A. M. ^{[1
]}

Jadczyk, A. ^{[2
,3
]}

机构：

[1] Univ Wroclaw, Fac Phys & Astron, Pl M Borna 9, PL-50204 Wroclaw, Poland

[2] Univ Toulouse III, Lab Phys Theor, Toulouse, France

[3] Ronin Inst, Montclair, NJ 07043 USA

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2023年 / 91卷 / 03期

关键词：

time operator; relativistic time operator; POVM; Pauli's theorem; Hegerfeldt's lemma; Mandelstam-Tamm's time operator; Heisenberg's uncertainty relation; massless neutrino; QUANTUM-THEORY;

D O I：

10.1016/S0034-4877(23)00037-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that in presence of certain external fields a well-defined self-adjoint time operator exists, satisfying the standard canonical commutation relations with the Hamiltonian. Examples include uniform electric and gravitational fields with nonrelativistic and relativistic Hamiltonians. The physical intepretation of these operators is proposed in terms of time of arrival in the momentum space.

引用

页码：301 / 313

页数：13

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