Equivariance, Variational Principles, and the Feynman Integral

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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Equivariance, Variational Principles, and the Feynman Integral

Інший ID: 2000 Mathematics Subject Classification: 49N99; 49Q99; 58D30; 58K70; 70S05; 70S10

URI: http://dspace.nbuv.gov.ua/handle/123456789/148982

Посилання: Equivariance, Variational Principles, and the Feynman Integral / G. Svetlichny // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 8 назв. — англ.

Підтримка: This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). This research was partially supported by the Conselho Nacional de Desenvolvimento Cientıfico e Tecnologico (CNPq), and the Fundacao de Amparoa Pesquisa do Estado do Rio de Janeiro (FAPERJ).

Дата: 2008

Завантажень: 230

Equivariance, Variational Principles, and the Feynman Integral

Анотація:

We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral. We also speculate about the origin of Lagrangian theories in physics and their connection to Feynman's integral.

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