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Start Over Descriptor "feynman integral" Journal mathematical notes
4 results on '"feynman integral"'

2. Infinite-dimensional Schrödinger equations with polynomial potentials and representation of their solutions via Feynman integrals.

Author

Kravtseva, A.

Subjects
*FEYNMAN integrals, *GAUSSIAN measures, *QUADRATIC equations, *POLYNOMIAL operators, *MULTIPLE integrals
Abstract

The article focuses on the use of Feynman integrals through the utilization of infinite-dimensional Schrödinger equations. The utilization of a Gaussian measure in a quadratic equation is mentioned. The continuation in the space of operators is explored in terms of Feynman integrals in evolution equations.

Published
2013
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3. Inversion of Chernoff’s theorem.

Author

Neklyudov, A.

Subjects
*OPERATOR theory, *FUNCTIONAL analysis, *INTEGRAL operators, *LINEAR operators, *AGGREGATION operators
Abstract

In this paper, we prove a theorem which is the inversion of Chernoff’s theorem. As a consequence of this result, we obtain conditions for the validity of the Chernoff and Trotter product formulas. [ABSTRACT FROM AUTHOR]

Published
2008
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4. Inversion of Chernoff’s theorem

Author

A. Yu. Neklyudov

Subjects
Discrete mathematics, Statistics::Theory, Feynman integral, General Mathematics, Banach space, Inversion (discrete mathematics), Computer Science::Discrete Mathematics, Product (mathematics), Chernoff bound, Statistics::Methodology, Contraction semigroup, Computer Science::Data Structures and Algorithms, Computer Science::Information Theory, Mathematics
Abstract

In this paper, we prove a theorem which is the inversion of Chernoff’s theorem. As a consequence of this result, we obtain conditions for the validity of the Chernoff and Trotter product formulas.

Published
2008
Full Text
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