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Singularities of scattering matrix
Albert Schwarz
Our main result is the analysis of singularities of integrands of integrals representing matrix elements of scattering matrix and inclusive scattering matrix in perturbation theory…
Functional integrals in geometric approach to quantum theory
Igor Frolov, Albert Schwarz
In quantum mechanics, one can express the evolution operator and other quantities in terms of functional integrals. The main goal of this paper is to prove corresponding results in…
Asymptotic commutativity in Jordan algebras
Albert Schwarz
We estimate commutators of quadratic operators in Jordan algebras. These estimates can be used to construct the scattering theory in quantum fields theories formulated in ter…
Scattering in algebraic approach to quantum theory. Jordan algebras
Albert Schwarz
Using geometric approach we formulate quantum theory in terms of Jordan algebras. We analyze the notion of (quasi)particle (=elementary excitation of translation-invariant stationa…
Scattering in geometric approach to quantum theory
Albert Schwarz
We define inclusive scattering matrix in the framework of geometric approach to quantum field theory . We review the definitions of scattering theory in the algebraic approach and…
Scattering in algebraic approach to quantum theory. Associative algebras
Albert Schwarz
The definitions of scattering matrix and inclusive scattering matrix in the framework of formulation of quantum field theory in terms of associative algebras with involution are pr…