薄荷醇
发表于 2025-3-28 14:34:08
Semiclassical Path Integrals in Terms of CatastrophesUsing a splitting procedure for action functionals, a semiclassical approximation of path integrals, remaining finite on caustics, is constructed. It is governed by oscillatory generalized Airy integrals involving catastrophe polynomials, whose bifurcation properties reflect those of real and complex classical paths.
Reverie
发表于 2025-3-28 20:12:44
Catastrophe and Stochasticity in Semiclassical Quantum MechanicsThe symposium talk was an account of material already published . Therefore this contribution will be an extended summary, in the form of a series of assertions for which justification will be found in the papers cited.
不可接触
发表于 2025-3-28 23:35:20
Springer Series in Synergeticshttp://image.papertrans.cn/t/image/880045.jpg
pessimism
发表于 2025-3-29 05:14:56
https://doi.org/10.1007/978-3-642-67363-4catastrophe theory; diffraction; dynamical systems; fields; fold catastrophe; fractal; mechanics; phase dia
脆弱么
发表于 2025-3-29 07:49:42
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饮料
发表于 2025-3-29 12:29:33
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debase
发表于 2025-3-29 19:37:54
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剥皮
发表于 2025-3-29 23:32:50
Optical Caustics and Diffraction Catastrophes The caustics formed by an irregular water drop lens are a good example. By allowing the shape of the drop to change under the control of one or more parameters catastrophes of higher codimension can be formed, in particular, the parabolic umbilic (D.) and the symbolic umbilic (E.). They correspond
增强
发表于 2025-3-29 23:59:53
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变化无常
发表于 2025-3-30 05:27:21
Catastrophes and Bifurcations in Variational Problemsderiving from variational problems, are shown to be determined by those of the stationary points of unfoldings of singularities and so are classifiable in terms of catastrophe polynomials. A stability analysis of the bifurcating solutions is carried out. The results are applied to the buckling of co