We show that a central 1/rn singular potential (with n>~ 2) is renormalized by a one-
parameter square-well counterterm; low-energy observables are made independent of the …

The asymmetric potential profiles are focus of interest for researchers who study
semiconductor optoelectronic devices. Therefore, in this study, the effects of structure …

An anomaly is said to occur when a symmetry that is valid classically becomes broken as a
result of quantization. Although most manifestations of this phenomenon are in the context of …

In this Letter, we propose an experimental scheme for the observation of a quantum
anomaly—quantum-mechanical symmetry breaking—in a two-dimensional harmonically …

In this study, we have constructed a generalized Schrödinger equation in fractal dimensions
characterized by an effective potential which is generated by a position-dependent mass …

The interaction of an electron with a polar molecule is shown to be the simplest realization of
a quantum anomaly in a physical system. The existence of a critical dipole moment for …

The near-horizon properties of a black hole are studied within an algebraic framework, using
a scalar field as a simple probe to analyze the geometry. The operator H governing the near …

This article provides a focused review of recent findings which demonstrate, in some cases
quite counter-intuitively, the existence of bound states with a singularity of the density pattern …

We study the problem of the attractive inverse square potential in quantum mechanics with a
generalized uncertainty relation. Using the momentum representation, we show that this …

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 …