27 citations · 52 across the 22 of their papers we have counts for
18 papers · 1 filter
Feynman integral in QFT and white noise
Jaroslaw Wawrzycki
We present a rigorous construction of the Feynman integral on the compactified Einstein Universe (EU) using white noise calculus. Presented construction of the functional averaging…
Causal perturbative QED and white noise
Jaroslaw Wawrzycki
We present the Bogoliubov's causal perturbative QFT, which includes only one refinement: the creation-annihilation operators at a point, \emph{i.e.} for a specific momentum, are ma…
Positivity of the Invariant Kernel Underlying Quantum Theory of the Coulomb Field
Jaroslaw Wawrzycki
We present a proof of positivity of an invariant kernel, which is of basic importance for the Staruszkiewicz theory of the quantum Coulomb field. Presented proof of positivity is i…
Bogoliubov's causal perturbative QFT with Hida operators
Jaroslaw Wawrzycki
We will present the axioms of Bogoliubov's causal perturbative QFT in which the creation-annihilation operators are interpreted as Hida operators. We will shortly present the resul…
Causal perturbative QED and white noise. The inductive step
Jaroslaw Wawrzycki
We present the Bogoliubov's causal perturbative QFT, which includes only one refinement: the creation-annihilation operators at a point, \emph{i.e.} for a specific momentum, are ma…
Causal perturbative QED and white noise
Jaroslaw Wawrzycki
We present the Bogoliubov's causal perturbative QFT, which includes only one refinement: the creation-annihilation operators at a point, \emph{i.e.} for a specific momentum, are ma…
Bogoliubov's causal perturbative QED and white noise. Interacting fields
Jaroslaw Wawrzycki
We present the Bogoliubov's causal perturbative QFT, which includes only one refinement: the creation-annihilation operators at a point, i.e. for a specific momentum, are mathemati…
A commentary on single-photon wave function advocated by Białynicki-Birula
Jarosław Wawrzycki
We present in this paper how the single-photon wave function for transversal photons (with the direct sum of ordinary unitary representations of helicity 1 and -1 acting on it) is…
Solution of the Adiabatic Limit Problem. QED Without Infinities
Jarosław Wawrzycki
In this work we give positive solution to the adiabatic limit problem in causal perturbative QED on the Minkowski space-time, as well as give a contribution to the solution of the…
Causal Perturbative QFT and Space-time Geometry
Jaroslaw Wawrzycki
This work is devoted to the causal perturbative Quantum Field Theory (QFT) due to Bogoliubov, including QED and other realistic QFT. It is given the white noise formulation of this…
A new theorem on the representation structure of the group acting in the Hilbert space of the quantum Coulomb field
Jaroslaw Wawrzycki
Using the results obtained by Staruszkiewicz in Acta Phys. Pol. B 23, 591 (1992) and in Acta Phys. Pol. B 23, 927 (1992) we show that the representations acting in the eigenspaces…
Causal perturbative QED and infra-red states
Jaroslaw Wawrzycki
At the classical level the electromagnetic field can be well identified at the spatial infinity. Staruszkiewicz pointed out that the quantization of the electromagnetic field at sp…
On single-photon wave function
Jaroslaw Wawrzycki
We present in this paper how the single-photon wave function for transversal photons (with the direct sum of ordinary unitary representations of helicity 1 and -1 acting on it) is…
A Generalization of Mackey's Theory of Induced Representations
Jaroslaw Wawrzycki
In this work we extend the Mackey's theory of induced unitary representations on a wide class of Krein-isometric induced representations in Krein spaces. The subgroup theorem and t…
Multiplication in Newton's Principia
Jaroslaw Wawrzycki
Newton in his Principia gives an ingenious generalization of the Hellenistic theory of ratios and inspired experimentally gives a tensor-like definition of multiplication of quanti…
Index Theory and Adiabatic Limit in QFT
Jaroslaw Wawrzycki
The paper has the form of a proposal concerned with the relationship between the three mathematically rigorous approaches to quantum field theory: 1) local algebraic formulation of…
Generally covariant Quantum Mechanics
Jaroslaw Wawrzycki
We present a complete theory, which is a generalization of Bargmann's theory of factors for ray representations. We apply the theory to the generally covariant formulation of the Q…
A Generalization of the Bargmann's Theory of Ray Representations
Jaroslaw Wawrzycki
The paper contains a complete theory of factors for ray representations acting in a Hilbert bundle, which is a generalization of the known Bargmann's theory. With the help of it we…