ON THE NONCOMMUTATIVE FEYNMAN PROBLEM

被引：0

作者：

Acatrine, Ciprian Sorin ^{[1
]}

机构：

[1] Horia Hulubei Natl Inst Phys & Nucl Engn, Dept Theoret Phys, POB-MG6, Magurele, Romania

来源：

ROMANIAN JOURNAL OF PHYSICS | 2021年 / 66卷 / 3-4期

关键词：

Gauge fields; commutation relations; noncommutative dynamics; DYSON PROOF; MAXWELL; EQUATIONS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We extend the Feynman derivation of the Maxwell-Lorentz equations to the case in which coordinates do not commute, adding significantly to previous results. New dynamics is pinned down precisely at the level of the homogeneous equations and of the Lorentz force, for which a complete derivation is given for the first time. A more general approach is introduced to allow navigation among inequivalent starting points for the Feynman procedure.

引用

页数：13

共 19 条

[1] Lagrangian versus quantization
Acatrinei, C
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (04): : 1225 - 1230
[2] Acatrinei C, 2007, ROM J PHYS, V52, P3
[3] A path integral leading to higher order Lagrangians
Acatrinei, Ciprian Sorin
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (43) : F929 - F933
[4] Acatrinei CS, 2020, ROM J PHYS, V65
[5] Acatrinei CS, 2019, ROM J PHYS, V64
[6] A simple signal of noncommutative space
Acatrinei, CS
[J]. MODERN PHYSICS LETTERS A, 2005, 20 (19) : 1437 - 1441
[7] Noncommutative geometry framework and the Feynman's proof of Maxwell equations
Boulahoual, A
Sedra, MB
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2003, 44 (12) : 5888 - 5901
[8] Carinena J. F., 2015, GEOMETRY DYNAMICS CL
[9] THE FEYNMAN PROBLEM AND THE INVERSE PROBLEM FOR POISSON DYNAMICS
CARINENA, JF
IBORT, LA
MARMO, G
STERN, A
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1995, 263 (03): : 153 - 212
[10] Feymnan problem in the noncommutative case
Cariñena, JF
Figueroa, H
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (14): : 3763 - 3769

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