We apply the Hamilton-Jacobi method to the Chiral Schwinger model in the case of regularization ambiguity a = 1. We show that one can obtain the integrable set of equation of motion and the action function by using the integrability conditions of total differential equations and without any need to
On the quantum Hamilton-Jacobi formalism
β Scribed by Antonio Soares de Castro; Alvaro de Souza Dutra
- Publisher
- Springer US
- Year
- 1991
- Tongue
- English
- Weight
- 671 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0015-9018
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π SIMILAR VOLUMES
## a b s t r a c t The quantum Hamilton-Jacobi equation (QHJE) in the quantum Hamilton-Jacobi theory is analytically investigated. New exact analytical solutions for the quantum Hamilton-Jacobi equation have been obtained for the quantum generating function of quantum theory for the first time. We
Following the equivalence between logarithmic Sobolev inequality, hypercontractivity of the heat semigroup showed by Gross and hypercontractivity of Hamilton-Jacobi equations, we prove, like the Varopoulos theorem, the equivalence between Euclidean-type Sobolev inequality and an ultracontractive con