LAGRANGIAN AND HAMILTONIAN FORMALISM IN FIELD THEORY: A SIMPLE MODEL

被引：8

作者：

Grabowska, Katarzyna ^{[1
]}

机构：

[1] Univ Warsaw, Fac Phys, PL-00681 Warsaw, Poland

来源：

JOURNAL OF GEOMETRIC MECHANICS | 2010年 / 2卷 / 04期

关键词：

Tulczyjew triple; Classical Field Theory; Lagrange formalism; Hamiltonian formalism; variational calculus; CALCULUS; GEOMETRY; MECHANICS; POISSON;

D O I：

10.3934/jgm.2010.2.375

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The static of smooth maps from the two-dimensional disc to a smooth manifold can be regarded as a simplified version of the Classical Field Theory. In this paper we construct the Tulczyjew triple for the problem and describe the Lagrangian and Hamiltonian formalism. We outline also natural generalizations of this approach to arbitrary dimensions.

引用

页码：375 / 395

页数：21

共 50 条

[1] Lagrangian-Hamiltonian unified formalism for field theory
Echeverría-Enríquez, A
López, C
Marín-Solano, J
Muñoz-Lecanda, MC
Román-Roy, N
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (01) : 360 - 380
[2] ON LAGRANGIAN AND HAMILTONIAN FORMALISM
NAMBU, Y
[J]. PROGRESS OF THEORETICAL PHYSICS, 1952, 7 (02): : 131 - 170
[3] Lagrangian and Hamiltonian formalism for discontinuous fluid and gravitational field
Hajicek, P
Kijowski, J
[J]. PHYSICAL REVIEW D, 1998, 57 (02) : 914 - 935
[4] The Lagrangian-Hamiltonian formalism for higher order field theories
Vitagliano, Luca
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2010, 60 (6-8) : 857 - 873
[5] Parameter invariance in field theory and the Hamiltonian formalism
Masqué, JM
Coronado, LMP
[J]. FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2000, 48 (04): : 361 - 405
[6] Generalization of the extended Lagrangian formalism on a field theory and applications
Deriglazov, A. A.
Rizzuti, B. F.
[J]. PHYSICAL REVIEW D, 2011, 83 (12)
[7] ON LAGRANGIAN AND HAMILTONIAN FORMALISM FOR NON CONSERVATIVE FORCES
SONA, PG
[J]. ENERGIA NUCLEARE, 1966, 13 (06): : 318 - &
[8] Lagrangian and Hamiltonian formalism for constrained variational problems
Piccione, P
Tausk, DV
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2002, 132 : 1417 - 1437
[9] Lagrangian-Hamiltonian formalism for cocontact systems
Rivas, Xavier
Torres, Daniel
[J]. JOURNAL OF GEOMETRIC MECHANICS, 2023, 15 (01): : 1 - 26
[10] AMBIGUITIES IN LAGRANGIAN AND HAMILTONIAN FORMALISM - TRANSFORMATION PROPERTIES
MARMO, G
SALETAN, EJ
[J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1977, 40 (01): : 67 - 89

← 1 2 3 4 5 →