For a harmonic oscillator with time varying coefficients a relation is obtained between the action integral and the first order adiabatic invariant. It is shown that a small resonant perturbation can modify the invariant. A canonical transformation generates a new action variable constant to first o
Schwinger variational principle and Padé approximants
✍ Scribed by C.R Garibotti
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 483 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
We show that any [N, M] Pade approximant to the nonrelativistic scattering amplitude is equivalent to solving the scattering equations in a particular fmite subspace. It follows that the Pad& approximants can be obtained by using appropriate trial functions in the Schwinger variational principle. The possible application of the stationarity principle to determine an optimal subspace is discussed.
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