arXiv subjects

Marius Grigorescu

Publications and source records attributed to Marius Grigorescu.

5 recordsLinked to original sources

arXiv2019

Quantum Distributions for the Plane Rotator

Quantum phase-space distributions (Wigner functions) for the plane rotator are defined using wave functions expressed in both angle and angular momentum representations, with emphasis on the quantum superposition between the Fourier dual variable and the canonically conjugate coordinate. The standard quantization condition for angular momentum appears as necessary for consistency. It is shown that at finite temperature the time dependence of the quantum wave functions may provide classical sound waves. Non-thermal quantum entropy is associated with localization along the orbit.

quant-ph↗

arXiv2003

Physical Framework of Quantization Problem

The paper presents shortly the geometric approach to the problem of a general quantization formalism, both physically meaningful and mathematically consistent.

physics.hist-ph↗

arXiv2000

SU(3) Clebsch-Gordan Coefficients

The paper contains the derivation of a general set of recurrence formulas for the calculus of the SU(3) Clebsch-Gordan coefficients. The first six sections are introductory, presenting the notations and placing SU(3) in the framework of the general group theory. The following eight sections are devoted to the detailed treatment of the carrier spaces of the irreducible representations and their direct product.

math-ph↗

arXiv1999

Low-lying excitations in superconducting bilayer systems

The ground and first excited state of two superconducting layers in interaction are studied considering two different coupling terms, one represented by the standard Josephson interaction, and one new, which is a superexchange pairing force between bilayer pairs. It is shown that a moderate-to strong Josephson interaction produces a low-lying collective state, pictured as an out-of-phase oscillation of the BCS gauge angles of the two layers. This antisymmetric angular oscillation might explain the 41 meV resonance observed in the neutron scattering experiments. The bilayer pairs are formed by electrons from different layers with an antiparallel orientation of the spins, being related to the antiferromagnetic arrangement. The pair operators within the layers together with the bilayer pairs generate by commutation an so(5) algebra. It is shown that the transition between the superconducting and antiferromagnetic phases can be explained assuming the dependence on concentration of the bilayer pairing strength, with maximum at half-filling.

cond-mat.supr-con↗

arXiv1998

Quantum Coherence Oscillations in Antiferromagnetic Chains

Macroscopic quantum coherence oscillations in mesoscopic antiferromagnets may appear when the anisotropy potential creates a barrier between the antiferromagnetic states with opposite orientations of the Neel vector. This phenomenon is studied for the physical situation of the nuclear spin system of eight Xe atoms arranged on a magnetic surface along a chain. The oscillation period is calculated as a function of the chain constant. The environmental decoherence effects at finite temperature are accounted assuming a dipole coupling between the spin chain and the fluctuating magnetic field of the surface. The numerical calculations indicate that the oscillations are damped by a rate $\sim (N-1)/ τ$, where $N$ is the number of spins and $τ$ is the relaxation time of a single spin.

quant-ph↗