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

共 50 条

[1] Proper time operator and its uncertainty relation
Yau, Hou Y.
JOURNAL OF PHYSICS COMMUNICATIONS, 2021, 5 (10):
[2] Observation of nodal links in momentum space
Yang, Erchan
Yang, Biao
You, Oubo
Guo, Qinghua
Ma, Shaojie
Xia, Lingbo
Fan, Dianyuan
Xiang, Yuanjiang
Zhang, Shuang
arXiv, 2019,
[3] Quantizations of the classical time of arrival and their dynamics
Galapon, Eric A.
Magadan, John Jaykel P.
ANNALS OF PHYSICS, 2018, 397 : 278 - 302
[4] Self-adjoint time operator of a quantum field
Yau, Hou Y.
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2020, 18 (01)
[5] Numerical approach to the Schroumldinger equation in momentum space
Karr, William A.
Jamell, Christopher R.
Joglekar, Yogesh N.
AMERICAN JOURNAL OF PHYSICS, 2010, 78 (04) : 407 - 411
[6] Environmentally induced shift of the quantum arrival time
Genkin, M.
Ferro, F.
Lindroth, E.
PHYSICAL REVIEW A, 2009, 80 (05):
[7] Entropy, Age and Time Operator
Gialampoukidis, Ilias
Antoniou, Ioannis
ENTROPY, 2015, 17 (01): : 407 - 424
[8] How to introduce time operator
Wang, Zhi-Yong
Xiong, Cai-Dong
ANNALS OF PHYSICS, 2007, 322 (10) : 2304 - 2314
[9] Time operator in quantum mechanics
Wang Zhi-Yong
Xiong Cai-Dong
ACTA PHYSICA SINICA, 2007, 56 (06) : 3070 - 3075
[10] Momentum gauge fields from curved momentum space through Kaluza-Klein reduction
Guendelman, Eduardo
Wagner, Fabian
CLASSICAL AND QUANTUM GRAVITY, 2023, 40 (13)

← 1 2 3 4 5 →