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It is shown here how the semiclassical theory of electrical susceptibility can be extended to the case in which both radiation and matter are quantized. This is done specifically for the cases of linear and second order susceptibilities.…

量子物理 · 物理学 2018-06-01 Jairo David García , Boris A. Rodríguez

In the nonrelativistic many-electron approximation of the theory of photoionization of the atom in the formalism of secondary quantization and the theory of irreducible tensor operators, analytical structures for the quadrupole transition…

原子物理 · 物理学 2025-04-14 Alexey N. Hopersky , Alexey M. Nadolinsky , Rustam V. Koneev , Julia N. Tolkunova

The usual semiclassical approximation for atom-field dynamics consists in substituting the field operators by complex numbers related to the (supposedly large enough) intensity of the field. We show that a semiclassical evolution for…

量子物理 · 物理学 2015-05-13 R. Rossi , K. M. Fonseca , Romero M. C. Nemes

We construct a class of systems for which quantum dynamics can be expanded around a mean field approximation with essentially classical content. The modulus of the quantum overlap of mean field states naturally introduces a classical…

The interaction of a five-level atomic system involving electromagnetically induced transparency with four light fields is investigated. Two different light-atom configurations are considered, and their efficiency in generating large…

光学 · 物理学 2009-11-11 Carlo Ottaviani , Stojan Rebic , David Vitali , Paolo Tombesi

We propose a consistent approach to the definition of electric, magnetic, and toroidal multipole moments. Electric and magnetic fields are split into potential, vortex, and radiative terms, with the latter ones dropped off in the…

经典物理 · 物理学 2019-01-10 Yuri Krynytskyi , Andrij Rovenchak

We develop a theoretical formalism for collectively responding point scatterers where the radiating electromagnetic fields from each emitter are considered in the electric dipole, magnetic dipole, and electric quadrupole approximation. The…

光学 · 物理学 2017-07-06 Derek W. Watson , Stewart D. Jenkins , Janne Ruostekoski

Natural optical activity is the paradigmatic example of an effect originating in the weak spatial inhomogeneity of the electromagnetic field on the atomic scale. In molecules, such effects are well described by the multipole theory of…

材料科学 · 物理学 2023-05-31 Óscar Pozo , Ivo Souza

It is shown that conserved charges associated with a specific subclass of gauge symmetries of Maxwell electrodynamics are proportional to the well known electric multipole moments. The symmetries are residual gauge transformations surviving…

高能物理 - 理论 · 物理学 2017-08-02 Ali Seraj

The semiclassical Kepler-Coulomb problem and the quantum-mechanical Schr\"odinger-Coulomb problem are compared for their predictions of quadrupole E2 transitions. The semiclassical treatment involves an extension of previous work for the…

量子物理 · 物理学 2022-10-19 Michael Horbatsch , Marko Horbatsch

Hyperfine-induced electric dipole contributions may significantly increase probabilities of otherwise very weak electric octupole and magnetic quadrupole atomic clock transitions (e.g. transitions between $s$ and $f$ electron orbitals).…

原子物理 · 物理学 2016-06-01 V. A. Dzuba , V. V. Flambaum

The influence of oscillating quadrupole fields on atomic energy levels is examined theoretically and general expressions for the quadrupole matrix elements are given. The results are relevant to any ion-based clock in which one of the clock…

量子物理 · 物理学 2019-03-06 Kyle J. Arnold , R. Kaewuan , T. R. Tan , M. D. Barrett

The contribution of different modes of the Coulomb field to decoherence and to the dynamical breakdown of the time reversal invariance is calculated in the one-loop approximation for non-relativistic electron gas. The dominant contribution…

量子物理 · 物理学 2010-09-17 Janos Polonyi

We explore the relation between the quantum and semiclassical instanton approximations for the reaction rate constant. From the quantum instanton expression, we analyze the contributions to the rate constant in terms of minimum-action paths…

We study the decay of survival probability at quantum phase transitions (QPT). The semiclassical theory is found applicable in the vicinities of critical points with infinite degeneracy. The theory predicts a power law decay of the survival…

量子物理 · 物理学 2015-05-13 Wen-ge Wang , Pinquan Qin , Lewei He , Ping Wang

The chemical potiential for the ground states of the atomic elements have been calculated within the semiclassical approximation The present work closely follows Schwinger and Englert's semiclassical treatment of atomic structure.

原子物理 · 物理学 2020-04-22 Bernard J. Laurenzi

Using the improved value of the screening angular parameter in the quasiclassical approximation of the Moliere multiple scattering theory we show that the best agreement between the Migdal theory of the LPM-effect and experiment is achieved…

高能物理 - 唯象学 · 物理学 2014-02-10 A. V. Tarasov , H. T. Torosyan , O. O. Voskresenskaya

We consider a quantum system of non-interacting fermions at temperature T, in the framework of linear response theory. We show that semiclassical theory is an appropriate framework to describe some of their thermodynamic properties, in…

数学物理 · 物理学 2009-11-07 Monique Combescure , Didier Robert

We present a treatment of many-body Fermionic systems that facilitates an expression of the well-known quantities in a series expansion of the Planck's constant. The ensuing semiclassical result contains to a leading order of the response…

凝聚态物理 · 物理学 2009-10-28 Pierre Gaspard , Sudhir R. Jain

We study how the singular behaviour of classical systems at bifurcations is reflected by their quantum counterpart. The semiclassical contributions of individual periodic orbits to trace formulae of Gutzwiller type are known to diverge when…

chao-dyn · 物理学 2007-05-23 Christopher Manderfeld , Henning Schomerus
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