Pseudoclassical mechanics a la Faddeev-Jackiw

被引：0

作者：

Caro, L. G. ^{[1
]}

de Gracia, G. B. ^{[2
]}

Pimentel, B. M. ^{[1
]}

Zambrano, G. E. R. ^{[3
]}

机构：

[1] Sao Paulo State Univ, Inst Theoret Phys, Sao Paulo, SP, Brazil

[2] Fed Univ ABC, Ctr Math, BR-09210580 Santo Andre, Brazil

[3] Univ Narino, Dept Phys, San Juan De Pasto, Narino, Colombia

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2024年 / 39卷 / 17N18期

基金：

巴西圣保罗研究基金会;

关键词：

Faddeev-Jackiw approach; pseudoclassical mechanics; Grassmann variables; canonical quantization; HAMILTONIAN REDUCTION;

D O I：

10.1142/S0217751X24500702

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

In this study, we propose an extension of the formulation developed by Faddeev and Jackiw to include anticommutative variables in the language of supergeometry, as it could be a cost-effective way to determine the (Z(2)-graded) Poisson structure of theories describing spin-like degrees of freedom. Specifically, we apply the developed approach to pseudoclassical systems to lately use the standard canonical quantization program to check whether their already known quantum description is recovered.

引用

页数：20

共 50 条

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[2] Singular Lagrangians and the Faddeev-Jackiw Formalism in Classical Mechanics
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[9] FADDEEV-JACKIW APPROACH TO HIDDEN SYMMETRIES
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