Upper bound on the momentum scale in noncommutative phase space of canonical type

被引：22

作者：

Gnatenko, Kh P. ^{[1
]}

Tkachuk, V. M. ^{[1
]}

机构：

[1] Ivan Franko Natl Univ Lviv, Dept Theoret Phys, 12 Drahomanov St, UA-79005 Lvov, Ukraine

来源：

EPL | 2019年 / 127卷 / 02期

关键词：

QUANTUM-MECHANICS; HYDROGEN-ATOM; LAMB SHIFT; PARTICLES; PARAMETERS;

D O I：

10.1209/0295-5075/127/20008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We find a stringent upper bound on the momentum scale in noncommutative phase space of canonical type on the basis of studies of the perihelion shift of the Mercury planet by taking into account features of the description of the motion of a macroscopic body in the space with noncommutativity of coordinates and noncommutativity of momenta. Using results for precession of the perihelion of the Mercury planet from ranging to the MESSENGER spacecraft we obtain an upper bound for the parameter of momentum noncommutativity 10(-83) kg(2)m(2)/s(2) which is many orders less than known in the literature. Copyright (C) EPLA, 2019

引用

页数：7

共 49 条

[1] Dirac equation in noncommutative space for hydrogen atom [J].

Adorno, T. C. ;

Baldiotti, M. C. ;

Chaichian, M. ;

Gitman, D. M. ;

Tureanu, A. .

PHYSICS LETTERS B, 2009, 682 (02) :235-239

[2] Lamb shift and stark effect in simultaneous space-space and momentum-momentum noncommutative quantum mechanics and θ-deformed su(2) algebra [J].

Alavi, S. A. .

MODERN PHYSICS LETTERS A, 2007, 22 (05) :377-383

[3]

Bars I, 2010, MULTIVERSAL JOURNEYS, P1, DOI 10.1007/978-0-387-77638-5

[4] Entropic gravity, phase-space noncommutativity and the equivalence principle [J].

Bastos, Catarina ;

Bertolami, Orfeu ;

Dias, Nuno Costa ;

Prata, Joao Nuno .

CLASSICAL AND QUANTUM GRAVITY, 2011, 28 (12)

[5] Noncommutative quantum scattering in a central field [J].

Bellucci, S ;

Yeranyan, A .

PHYSICS LETTERS B, 2005, 609 (3-4) :418-423

[6] Short distance versus long distance physics: The classical limit of the minimal length uncertainty relation [J].

Benczik, S ;

Chang, LN ;

Minic, D ;

Okamura, N ;

Rayyan, S ;

Takeuchi, T .

PHYSICAL REVIEW D, 2002, 66 (02) :1

[7] Noncommutative gravitational quantum well -: art. no. 025010 [J].

Bertolami, O ;

Rosa, JG ;

de Aragao, CML ;

Castorina, P ;

Zappalà, D .

PHYSICAL REVIEW D, 2005, 72 (02) :1-9

[8] Scaling of variables and the relation between noncommutative parameters in noncommutative quantum mechanics [J].

Bertolami, O ;

Rosa, JG ;

de Aragao, CML ;

Castorina, P ;

Zappalà, D .

MODERN PHYSICS LETTERS A, 2006, 21 (10) :795-802

[9] Aspects of phase-space noncommutative quantum mechanics [J].

Bertolami, O. ;

Leal, P. .

PHYSICS LETTERS B, 2015, 750 :6-11

[10] Phase-space noncommutativity and the Dirac equation [J].

Bertolami, Orfeu ;

Queiroz, Raquel .

PHYSICS LETTERS A, 2011, 375 (46) :4116-4119

← 1 2 3 4 5 →