We give a self-contained presentation of the theory of self-adjoint extensions using the
technique of boundary triples. A description of the spectra of self-adjoint extensions in terms …

Quantum mechanics of the 1∕x2 potential | American Journal of Physics | AIP Publishing Skip
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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 …

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 show that the classical SO (2, 1) symmetry of a harmonically trapped Fermi
gas in two dimensions is broken by quantum effects. The anomalous correction to the …

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 …

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 show that a system of three species of one-dimensional fermions, with an attractive three-
body contact interaction, features a scale anomaly directly related to the anomaly of two …

We discuss a scenario in which the P c (4450)+ heavy pentaquark is a Σ c D¯*-Λ c (2595)
D¯ molecule. The Λ c 1 D¯→ Σ c D¯* transition is mediated by the exchange of a pion …

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 …