Erratum to: Bogoliubov’s causal perturbative QED and white noise. Interacting fields

Theoretical and Mathematical Physics - An Erratum to this paper has been published: https://doi.org/10.1134/S0040577922060034     

Detection, separation and analysis of α-amino acids by means of TLC using 4-diethylaminodiazabenzene-4′-isothiocyanate (DEABITC)

Summary 4-diethylaminodiazabenzene-4′-isothiocyanate (DEABITC) was synthetized and used to obtain thiohydantoin derivatives of 15 α-amino acids (DEABTH-AMK). The coloured derivatives were separated by means of TLC on silica gel using various solvent systems. Presented at Balaton Symposium on High Performance Separation Methods, Siófok, Hungary, September 1–3, 1999     

Bogoliubov’s causal perturbative QED and white noise. Interacting fields

Theoretical and Mathematical Physics - We present Bogoliubov’s causal perturbative QFT with a single refinement: the creation–annihilation operators at a point, i.e., for a specific...     

Synthesis of 4-Diisopropylaminodiazabenzene-4′-Isothiocyanate and its use in the Derivatization and Chromatographic Separation of Biogenic Amines

JPC – Journal of Planar Chromatography – Modern TLC - The physicochemical properties of biogenic monoamines - their polarity, lability, and the trace amounts found in biological...     

Generally Covariant Schrödinger Equation in Newton–Cartan Space–Time. Part I

The covariant Schrödinger equation is obtained with the use of standard geometrical objects of the Galilean space–time. It's symmetry and covariance are investigated. Gauge freedom is eliminated by invariance condition. Family of the plane wave solutions in any coordinate system is found. Connection with previous investigations is discussed.     

Generally Covariant Schrödinger Equation in Newton–Cartan Space–Time. Part II

Schrödinger equation in Newton–Cartan space–time can be obtained from Einstein equivalence principle, that is firstly one should obtain generally covariant Schrödinger's equation in Galilean space–time (using generally covariant Hamilton–Jacobi formalism and Schrödinger's Ansatz, as was previously shown) and get Schrödinger's equation in Newton–Cartan space–time with the help of equivalence principle. The equation possesses a gauge freedom f connected with phase transformation of the wave function. But absolute elements of the space–time possess a symmetry group and they depend on f. So, a natural problem arises: to find the gauge f in which absolute elements become invariant with respect to the group. In the paper the gauge f is found with the help of space–time properties, that is transformation rule of the wave function is obtained from the space–time structure (in Newton–Cartan space–time). The special form of f is found in the case when the space–time as a whole possesses a symmetry.     

Synthesis and application of 4-dipropylaminodiazabenzene-4′-isothiocyanate to the derivatization and chromatographic separation of biogenic amines

Summary The physicochemical properties of biogenic monoamines, their polar character, lability and trace amounts found in the biological material create great analytical difficulties in their identification and separation. The selective chromatographic separation of those amines is greatly facilitated by their derivatization [1]. Based on theoretical considerations, 4-dipropylaminodiazabenzene-4′-isothiocyanate (DPABITC) was synthetized and applied to the preparation of thiocarbamoyl derivatives of the amines. The coloured derivatives were separated by TLC. Presented at Balaton Symposium on High Performance Separation Methods, Siófok, Hungary, September 1–3, 1999     

Index Theory and Adiabatic Limit in QFT

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 Haag, (2) Wightman formulation and (3) the perturbative formulation based on the microlocal renormalization method. In this project we investigate the relationship between (1) and (3) and utilize the known relationships between (1) and (2). The main goal of the proposal lies in obtaining obstructions for the existence of the adiabatic limit (confinement problem in the phenomenological standard model approach). We extend the method of deformation of Dütsch and Fredenhagen (in the Bordeman-Waldmann sense) and apply Fedosov construction of the formal index—an analog of the index for deformed symplectic manifolds, generalizing the Atiyah-Singer index. We present some first steps in realization of the proposal.