On the invalidity of Dirac's conjecture for a system with a singular higher-order Lagrangian

被引：2

作者：

Jin, XY ^{[1
]}

Li, ZP

机构：

[1] Peking Univ, Dept Phys, Beijing 100871, Peoples R China

[2] Beijing Polytech Univ, Dept Appl Phys, Beijing 100022, Peoples R China

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 47期

关键词：

D O I：

10.1088/0305-4470/34/47/321

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on the canonical Nother's theorem and Poincare-Cartan integral invariant for a system with a singular higher-order Lagrangian, we present a counterexample with any higher-order derivatives, in which no linearizations of constraints are made to the system, showing that Dirac's conjecture is invalid.

引用

页码：10201 / 10207

页数：7

共 20 条

[1] ON DIRAC CONJECTURE FOR SYSTEMS HAVING ONLY 1ST-CLASS CONSTRAINTS [J].

CABO, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (05) :629-638

[2] AUGMENTED ALGORITHM FOR THE HAMILTONIAN [J].

CAWLEY, R .

PHYSICAL REVIEW D, 1980, 21 (10) :2988-2990

[3] DETERMINATION OF THE HAMILTONIAN IN THE PRESENCE OF CONSTRAINTS [J].

CAWLEY, R .

PHYSICAL REVIEW LETTERS, 1979, 42 (07) :413-416

[4] DYNAMICS OF GAUGE SYSTEMS AND DIRAC CONJECTURE [J].

COSTA, MEV ;

GIROTTI, HO ;

SIMOES, TJM .

PHYSICAL REVIEW D, 1985, 32 (02) :405-410

[5]

Dirac P.A.M., 1964, LECT QUANTUM MECH

[6] COMMENT ON CAWLEY COUNTEREXAMPLE TO A CONJECTURE OF DIRAC [J].

FRENKEL, A .

PHYSICAL REVIEW D, 1980, 21 (10) :2986-2987

[7] LOCAL SYMMETRIES IN SYSTEMS WITH CONSTRAINTS [J].

GOGILIDZE, SA ;

SANADZE, VV ;

TKEBUCHAVA, FG ;

SUROVTSEV, YS .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (19) :6509-6523

[8] GAUGE-INVARIANCE AND DEGREE OF FREEDOM COUNT [J].

HENNEAUX, M ;

TEITELBOIM, C ;

ZANELLI, J .

NUCLEAR PHYSICS B, 1990, 332 (01) :169-188

[9]

Henneaux M., 1992, Quantization of Gauge Systems

[10]

Li Ziping, 1993, Chinese Physics Letters, V10, P68, DOI 10.1088/0256-307X/10/2/002

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