The heat kernel expansion is a very convenient tool for studying one-loop divergences,
anomalies and various asymptotics of the effective action. The aim of this report is to collect …

A number of physical systems exhibit a particular form of asymptotic conformal invariance:
within a particular domain of distances, they are characterized by a long-range conformal …

We offer a consistent dynamical formulation of stationary scattering in two and three
dimensions (2D and 3D) that is based on a suitable multidimensional generalization of the …

A zero-thickness limit for two-terminal and three-terminal devices from the quantum
electronics domain is analysed. The study is focused on heterostructures composed of a …

In one dimension, one can dissect a scattering potential v (x) into pieces vi (x) and use the
notion of the transfer matrix to determine the scattering content of v (x) from that of vi (x). This …

ABSTRACT A path-integral approach is used to study the spectral properties of the
generators of the SO (2, 1) symmetry of conformal quantum mechanics (CQM). In particular …

A zero-thickness limit of three-layer heterostructures under two bias voltages applied
externally, where one of which is supposed to be a gate parameter, is studied. As a result …

The singular behavior of conformal interactions is examined within a comparative analysis of
renormalization frameworks. The effective approach—inspired by the effective-field theory …

The structure of the commutator algebra for conformal quantum mechanics is considered.
Specifically, it is shown that the emergence of a dimensional scale by renormalization …

We present a non-perturbative renormalization of the bound state problem of n bosons
interacting with finitely many Dirac-delta interactions on two-and three-dimensional …