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It is shown that all of the basic properties of the hydrogen atom can be consistently described in terms of classical electrodynamics instead of taking the electron to be a particle; we consider an electrically charged classical wave field,…

General Physics · Physics 2017-03-08 Sergey Rashkovskiy

A generalization of driven harmonic oscillator with time-dependent mass and frequency, by adding total time-derivative terms to the Lagrangian, is considered. The generalization which gives a general quadratic Hamiltonian system does not…

Quantum Physics · Physics 2009-10-31 Dae-Yup Song

A direct classical analog of quantum decoherence is introduced. Similarities and differences between decoherence dynamics examined quantum mechanically and classically are exposed via a second-order perturbative treatment and via a strong…

Quantum Physics · Physics 2009-11-07 Jiangbin Gong , Paul Brumer

Two interacting electrons in a harmonic oscillator potential under the influence of a perpendicular homogeneous magnetic field are considered. Analytic expressions are obtained for the energy spectrum of the two- and three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Dineykhan , R. G. Nazmitdinov

The problem of two electrons in a two-dimensional random potential is addressed numerically. Specifically, the role of the Coulomb interaction between electrons on localization is investigated by writing the Hamiltonian on a localized basis…

Disordered Systems and Neural Networks · Physics 2009-10-31 Jorge Talamantes , Michael Pollak

Spin-orbit interaction couples electron spins to electric fields and allows electrical monitoring of electron spins and electrical detection of spin dynamics. Competing mechanisms of spin-orbit interaction are compared, and optimal…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Emmanuel I. Rashba

We consider an electron coupled to the quantized radiation field and subject to a slowly varying electrostatic potential. We establish that over sufficiently long times radiation effects are negligible and the dressed electron is governed…

Mathematical Physics · Physics 2007-05-23 Stefan Teufel , Herbert Spohn

We theoretically study how a scattered electron can entangle molecular spin qubits (MSQs). This requires solving the inelastic transport of a single electron through a scattering region described by a tight-binding interacting Hamiltonian.…

Quantum Physics · Physics 2023-04-25 Christian Bunker , Silas Hoffman , Jie-Xiang Yu , Xiao-Guang Zhang , Hai-Ping Cheng

We provide universal expressions for the classical piece of the amplitude given by the graviton/photon exchange between massive particles of arbitrary spin, at both tree and one loop level. In the gravitational case this leads to higher…

High Energy Physics - Theory · Physics 2021-10-20 Alfredo Guevara

We study the {\it quasi-classical limit} of a quantum system composed of finitely many non-relativistic particles coupled to a quantized field in Nelson-type models. We prove that, as the field becomes classical and the corresponding…

Mathematical Physics · Physics 2018-08-08 Michele Correggi , Marco Falconi

The groundstate configuration and the eigenmodes of two parallel two-dimensional classical atoms are obtained as function of the inter-atomic distance (d). The classical particles are confined by identical harmonic wells and repel each…

Condensed Matter · Physics 2009-10-30 B. Partoens , V. A. Schweigert , F. M. Peeters

The quantum state of an electron in a strong laser field is altered if the interaction of the electron with its own electromagnetic field is taken into account. Starting from the Schwinger-Dirac equation, we determine the states of an…

High Energy Physics - Phenomenology · Physics 2011-12-21 S. Meuren , A. Di Piazza

The kicked rotor provides a simple yet powerful model for introducing many of the central concepts of classical and quantum chaos. Despite its apparent simplicity, it exhibits rich dynamical behavior and has found applications across a wide…

Quantum Physics · Physics 2026-04-23 Giuliano Benenti , Giulio Casati , Jiangbin Gong , Zhixing Zou

We consider classical models of the kicked rotor type, with piecewise linear kicking potentials designed so that momentum changes only by multiples of a given constant. Their dynamics display quasi-localization of momentum, or quadratic…

Quantum Physics · Physics 2015-06-23 Italo Guarneri , Giulio Casati , Volker Karle

We consider effects of the interaction between electrons drifting along the opposite sides of a narrow sample under the conditions of the quantum Hall effect. A spatial variation of this interaction leads to backward scattering of…

Condensed Matter · Physics 2016-08-31 Yuval Oreg , Alexander M. Finkel'stein

The dynamics of hybrid systems -- i.e. ones in which classical and quantum degrees of freedom co-exist and interact -- feature both diffusion in the classical sector and decoherence in the quantum state. In this article, we will consider…

Quantum Physics · Physics 2025-10-10 Emanuele Panella

The motion of celestial bodies in astronomy is closely related to the orbits of electrons encircling an atomic nucleus. Bohr and Sommerfeld presented a quantization scheme of the classical orbits to analyze the eigenstates of the hydrogen…

Chaotic Dynamics · Physics 2020-08-31 Tobias Kramer

The Maxwell equations in the presence of sources are first derived without making use of the potentials and the Hamilton-Jacobi equation for classical electrodynamics is written down. The manifestly gauge invariant theory is then quantized…

Quantum Physics · Physics 2017-06-05 Partha Ghose

In this article we analyze spin dynamics for electrons confined to semiconductor quantum dots due to the contact hyperfine interaction. We compare mean-field (classical) evolution of an electron spin in the presence of a nuclear field with…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. A. Coish , E. A. Yuzbashyan , B. L. Altshuler , Daniel Loss

The quantum fidelity was introduced by Peres to study some fingerprints of classically chaotic behavior in the quantum dynamics of the corresponding systems. In the present paper the signatures of classical dynamics near elliptic points and…

Quantum Physics · Physics 2015-06-19 Alexandra Bakman , Shmuel Fishman
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