abysmal
发表于 2025-3-23 11:41:31
Textbook 20164th editioner. The book is written in modern language of mathematics and will ideally cater to the requirements of graduate and first year Ph.D. students...a wonderful introduction to any student who wants to do research in any branch of theoretical Physics." (Indian Journal of Physics)
红肿
发表于 2025-3-23 15:17:27
Ling Li,Li Xu,Wu He,Yong Chen,Hong Chennts of the PSS into other (or the same) points of the PSS. In the following we shall limit ourselves to autonomous Hamiltonian systems, . so that because of the canonicity (Liouville’s theorem) the mapping is area-preserving (canonical mapping).
CHASM
发表于 2025-3-23 18:02:00
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Lumbar-Stenosis
发表于 2025-3-24 00:21:52
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持久
发表于 2025-3-24 05:09:28
Application of the Action Principles, translation . and .(..) = 0. Then the noninvariant part of the action, . is given by . and thus it immediately follows for the variation of . that . or . Here we recognize Newton’s law as nonconservation of the linear momentum: . Now it is straightforward to derive a corresponding law of nonconservation of the angular momentum.
GRILL
发表于 2025-3-24 10:31:11
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整顿
发表于 2025-3-24 11:11:49
The Adiabatic Invariance of the Action Variables,etween two walls (distance .) with velocity .. Let gravitation be neglected, and the collisions with the walls be elastic. If .. denotes the average force onto each wall, then we have . . is the force acting on the ball during one collision, and . is the time between collisions.
弓箭
发表于 2025-3-24 15:34:04
Canonical Perturbation Theory with Several Degrees of Freedom, problem . be solved. Then we expand the perturbed Hamiltonian in the .-“basis” according to . We are looking for the generating function of the canonical transformation which will lead us from the variables . to the new variables ..
Dri727
发表于 2025-3-24 21:18:11
Removal of Resonances,rs appear in the expression for the adiabatic invariants. We now wish to begin to locally remove such resonances by trying, with the help of a canonical transformation, to go to a coordinate system which rotates with the resonant frequency.
蛰伏
发表于 2025-3-25 00:18:57
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