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Both the classical and quantum approximate invariants are found for the nonlinar r time-dependent oscillator of sextupole transverse betatron dynamics. They are represented in terms of the elements of a Lie algebra associated with powers of…

Accelerator Physics · Physics 2007-05-23 T. Garavaglia

Based on the single particle approximation [V. F. Dmitriev {\it et al}, Phys. Rev. C {\bf50}, 2358 (1994), C.-C. Chen, Phys. Rev. A {\bf51}, 2611 (1995)], the Landau quantization associated with an atom with a magnetic quadrupole moment is…

Quantum Physics · Physics 2016-03-07 I. C. Fonseca , K. Bakke

We derive Maxwell equations for electric and magnetic fields in curved spacetime from first principles, relaxing an unnecessary assumption on the structure of the four-potential inherent to the standard approach and thus restoring the full…

High Energy Physics - Phenomenology · Physics 2023-10-13 Anton V. Sokolov

Some examples of branched Hamiltonians are explored both classically and in the context of quantum mechanics, as recently advocated by Shapere and Wilczek. These are in fact cases of switchback potentials, albeit in momentum space, as…

Mathematical Physics · Physics 2017-03-07 Thomas L Curtright , Cosmas K Zachos

The question of how to interpret and compute arrival-time distributions in quantum mechanics remains unsettled, reflecting the longstanding tension between treating time as a quantum observable or as a classical parameter. Most previous…

Stationary solution of one-dimensional Sine-Gordon system is embedded in a multidimensional theory with explicitly finite domain in the added spatial dimensions. Semiclassical corrections to energy are calculated for static kink solution…

Quantum Physics · Physics 2017-08-02 Grzegorz Kwiatkowski

For want of a more natural proposal, it is generally assumed that the back-reaction of a quantised matter field on a classical metric is given by the expectation value of its energy-momentum tensor, evaluated in a specified state. This…

General Relativity and Quantum Cosmology · Physics 2015-06-25 L. Sriramkumar

Alpha($^{4}$He)-cluster models have often been used to describe light nuclei. Towards the application to multi-cluster systems involving heavy clusters, we study the relative wave functions of the $\alpha+^{16}$O and $\alpha+^{40}$Ca…

Nuclear Theory · Physics 2018-08-01 T. Arai , W. Horiuchi , D. Baye

Semiclassical Mechanics allows for a description of quantum systems which preserves their phase information, while using only the system's classical dynamics as an input. Over the time an identification has been developed between stationary…

Quantum Physics · Physics 2021-02-16 Kush Mohan Mittal , Olivier Giraud , Denis Ullmo

The relativistic quasiparticle time-blocking approximation (RQTBA) is applied to the description of nuclear excitation modes of astrophysical interest. This method is based on the meson-nucleon Lagrangian and goes beyond the standard…

Nuclear Theory · Physics 2018-01-17 Caroline Robin , Elena Litvinova

We present three schemes to go beyond the electric-dipole approximation in X-ray absorption spectroscopy calculations within a four-component relativistic framework. The first is based on the full semi-classical light-matter interaction…

Chemical Physics · Physics 2021-07-02 Nanna Holmgaard List , Timothé Romain Léo Melin , Martin van Horn , Trond Saue

It is shown that relative coordinate and momentum of coherent electron pair have the meaning of observables with the help of quadrupole and magnetic moments. Distributions of quadrupole terms of scalar potential are shown. These…

Quantum Physics · Physics 2007-05-23 Constantin V. Usenko , Nataliia O. Cherkashyna

We extend the results of Bakalov D., B.Jeziorski, T.Korona, K.Szalewicz, E.Tchoukova, Phys. Rev. Lett. {\bf 84} (2000) 2350, on one-photon electric dipole transition line shift and broadening to the case of two-photon transitions. As an…

Atomic Physics · Physics 2015-05-19 M. N. Stoilov

We re-examine the semiclassical approximation to quantum gravity in the canonical formulation, focusing on the definition of a quasiclassical state for the gravitational field. It is shown that a state with classical correlations must be a…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Gilad Lifschytz , Samir D. Mathur , Miguel E. Ortiz

We discuss the semiclassical approximation to transport problems in quantum chaotic systems. The figures of merit are moments of the transmission matrix and of the time delay matrix. After reviewing a few results obtained by treating these…

Quantum Physics · Physics 2026-04-16 Marcel Novaes

We deal with the problem of assigning electromagnetic moments to a quasi-stable particle (i.e., a particle with mass located at particle's decay threshold). In this case, an application of a small external electromagnetic field changes the…

High Energy Physics - Phenomenology · Physics 2010-12-23 Tim Ledwig , Vladimir Pascalutsa , Marc Vanderhaeghen

The theory of a response of a two-energy-level system, irradiated by symmetrical light pulses, has been developed.(Suchlike electronic system approximates under the definite conditions a single ideal quantum well (QW) in a strong magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 L. I. Korovin , I. G. Lang D. A. Contreras-Solorio , S. T. Pavlov

This paper organizes McMillan-Mayer theory, the potential distribution approach, and quasi-chemical theory to provide theory for the thermodynamic effects associated with longer spatial scales involving longer time scales, thus helping to…

Chemical Physics · Physics 2013-10-16 W. Zhang , X. You , L. R. Pratt

We discuss the origin of the leg factors appearing in 2D string theory. Computing in the world sheet framework we use the semiclassical method to study string amplitudes at high energy. We show that in the case of a simplest 2-point…

High Energy Physics - Theory · Physics 2010-11-01 Antal Jevicki , Miao Li , Tamiaki Yoneya

The standard closed-orbit theory is extended for the photodetachment of negative ions in a time-dependent electric field. The time-dependent photodetachment rate is specifically studied in the presence of a single-cycle terahertz pulse,…

Atomic Physics · Physics 2016-05-25 B. C. Yang , F. Robicheaux
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