메뉴 건너뛰기




Volumn 34, Issue 18, 2001, Pages 3859-3875

The relativistic particle as a mechanical system with non-holonomic constraints

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035844116     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/18/313     Document Type: Article
Times cited : (18)

References (19)
  • 1
    • 0000563564 scopus 로고
    • Generalized Lagrangian dynamics and Noetherian symmetries
    • Grigore D R 1992 Generalized Lagrangian dynamics and Noetherian symmetries Int. J. Math. Phys. A 7 7153-68
    • (1992) Int. J. Math. Phys. A , vol.7 , pp. 7153-7168
    • Grigore, D.R.1
  • 2
    • 0000233462 scopus 로고
    • On the generalization of symplectic geometry to multiple integrals in the calculus of variations
    • Berlin: Springer
    • Dedecker P 1977 On the generalization of symplectic geometry to multiple integrals in the calculus of variations Lecture Notes in Mathematics 570 (Berlin: Springer) pp 395-456
    • (1977) Lecture Notes in Mathematics 570 , vol.570 , pp. 395-456
    • Dedecker, P.1
  • 3
    • 0010028310 scopus 로고
    • Lagrangian systems with constraints: A geometric approach to the method of Lagrange multipliers
    • Cariñena J F and Rañada M F 1993 Lagrangian systems with constraints: a geometric approach to the method of Lagrange multipliers J. Phys. A: Math. Gen. 26 1335-51
    • (1993) J. Phys. A: Math. Gen. , vol.26 , pp. 1335-1351
    • Cariñena, J.F.1    Rañada, M.F.2
  • 4
    • 0001500447 scopus 로고
    • Jet methods in nonholonomic mechanics
    • Giachetta G 1992 Jet methods in nonholonomic mechanics J. Math. Phys. 33 1652-65
    • (1992) J. Math. Phys. , vol.33 , pp. 1652-1665
    • Giachetta, G.1
  • 5
    • 0031531745 scopus 로고    scopus 로고
    • Mechanical systems with nonholonomic constraints
    • Krupková O 1997 Mechanical systems with nonholonomic constraints J. Math. Phys. 38 5098-126
    • (1997) J. Math. Phys. , vol.38 , pp. 5098-5126
    • Krupková, O.1
  • 6
    • 0013044705 scopus 로고    scopus 로고
    • On the geometry of non-holonomic mechanical systems
    • ed O Kowalski, I Kolář, D Krupka and J Slovák (Brno: Masaryk University)
    • Krupková O 1999 On the geometry of non-holonomic mechanical systems Differential Geometry and Applications, Proc. Conf. (Brno, 1998) ed O Kowalski, I Kolář, D Krupka and J Slovák (Brno: Masaryk University) pp 533-46
    • (1999) Differential Geometry and Applications, Proc. Conf. (Brno, 1998) , pp. 533-546
    • Krupková, O.1
  • 7
    • 0034336538 scopus 로고    scopus 로고
    • Higher-order mechanical systems with constraints
    • Krupková O 2000 Higher-order mechanical systems with constraints J. Math. Phys. 41 5304-24
    • (2000) J. Math. Phys. , vol.41 , pp. 5304-5324
    • Krupková, O.1
  • 8
    • 0030557066 scopus 로고    scopus 로고
    • On the geometry of non-holonomic Lagrangian systems
    • de León M and de Diego D M 1996 On the geometry of non-holonomic Lagrangian systems J. Math. Phys. 37 3389-414
    • (1996) J. Math. Phys. , vol.37 , pp. 3389-3414
    • De León, M.1    De Diego, D.M.2
  • 10
    • 0002292766 scopus 로고    scopus 로고
    • A new look at classical mechanics of constrained systems
    • Massa E and Pagani E 1997 A new look at classical mechanics of constrained systems Ann. Inst. H Poincaré 66 1-36
    • (1997) Ann. Inst. H Poincaré , vol.66 , pp. 1-36
    • Massa, E.1    Pagani, E.2
  • 11
    • 21344495419 scopus 로고
    • Time-dependent Lagrangian systems: A geometric approach to the theory of systems with constraints
    • Rañada M F 1994 Time-dependent Lagrangian systems: a geometric approach to the theory of systems with constraints J. Math. Phys. 35 748-58
    • (1994) J. Math. Phys. , vol.35 , pp. 748-758
    • Rañada, M.F.1
  • 12
    • 0001484560 scopus 로고    scopus 로고
    • A direct geometrical construction of the dynamics of non-holonomic Lagrangian systems
    • Sarlet W 1996 A direct geometrical construction of the dynamics of non-holonomic Lagrangian systems Extracta Mathematicae 11 202-12
    • (1996) Extracta Mathematicae , vol.11 , pp. 202-212
    • Sarlet, W.1
  • 13
    • 21844484638 scopus 로고
    • A geometrical framework for the study of non-holonomic Lagrangian systems
    • Sarlet W, Cantrijn F and Saunders D J 1995 A geometrical framework for the study of non-holonomic Lagrangian systems J. Phys. A: Math. Gen. 28 3253-68
    • (1995) J. Phys. A: Math. Gen. , vol.28 , pp. 3253-3268
    • Sarlet, W.1    Cantrijn, F.2    Saunders, D.J.3
  • 14
    • 0009144789 scopus 로고    scopus 로고
    • A geometrical framework for the study of non-holonomic Lagrangian systems: II
    • Saunders D J, Sarlet W and Cantrijn F 1996 A geometrical framework for the study of non-holonomic Lagrangian systems: II J. Phys. A: Math. Gen. 29 4265-74
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 4265-4274
    • Saunders, D.J.1    Sarlet, W.2    Cantrijn, F.3
  • 15
    • 0038924323 scopus 로고
    • The influence of the time dependent gravitational interaction on the solar system
    • ed W F Hoffmann (Moscow: Mir) in Russian
    • Dicke R 1965 The influence of the time dependent gravitational interaction on the Solar system Gravity and Relativity ed W F Hoffmann (Moscow: Mir) pp 251-94 (in Russian)
    • (1965) Gravity and Relativity , pp. 251-294
    • Dicke, R.1
  • 17
    • 0037770122 scopus 로고
    • General solution and invariants for a class of Lagrangian equations governed by a velocity-dependent potential energy
    • Engels E and Sarlet W 1973 General solution and invariants for a class of Lagrangian equations governed by a velocity-dependent potential energy J. Phys. A: Math. Gen. 6 818-25
    • (1973) J. Phys. A: Math. Gen. , vol.6 , pp. 818-825
    • Engels, E.1    Sarlet, W.2
  • 19
    • 24444455325 scopus 로고    scopus 로고
    • Variational compatibility of force laws
    • ed O Kowalski, I Kolář, D Krupka and J Slovák (Brno: Masaryk University)
    • Mráz M and Musilová J 1999 Variational compatibility of force laws Differential Geometry and Applications, Proc. Conf. (Brno, 1998) ed O Kowalski, I Kolář, D Krupka and J Slovák (Brno: Masaryk University) pp 553-61
    • (1999) Differential Geometry and Applications, Proc. Conf. (Brno, 1998) , pp. 553-561
    • Mráz, M.1    Musilová, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.