Canonical formalism for Lagrangians with nonlocality of finite extent
Journal Article
·
· Physical Review A
I consider Lagrangians which depend nonlocally in time but in such a way that there is no mixing between times differing by more than some finite value {Delta}t. By considering these systems as the limits of ever higher derivative theories, I obtain a canonical formalism in which the coordinates are the dynamical variable from t to t+{Delta}t. A simple formula for the conjugate momenta is derived in the same way. This formalism makes apparent the virulent instability of this entire class of nonlocal Lagrangians. As an example, the formalism is applied to a nonlocal analog of the harmonic oscillator.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40206006
- Journal Information:
- Physical Review A, Journal Name: Physical Review A Journal Issue: 5 Vol. 62; ISSN 1050-2947
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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Tue Dec 31 23:00:00 EST 2002
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OSTI ID:20634193
Canonical formalism for relativistic dynamics
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Thu Dec 31 23:00:00 EST 1981
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OSTI ID:6336013