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The relationship between classical and quantum mechanics is explored in an intuitive manner by the exercise of constructing a wave in association with a classical particle. Using special relativity, the time coordinate in the frame of…

General Physics · Physics 2008-12-08 C. L. Herzenberg

We review various semiclassical models for strong-field physics. These semiclassical models employ ensembles of classical trajectories to simulate electron motion in the continuum after being released from an atom or molecule by an external…

Atomic Physics · Physics 2025-10-16 Nikolay Shvetsov-Shilovski

We investigate the semiclassical dynamics of massless Dirac fermions in 2+1 dimensions in the presence of external electromagnetic fields. By generalizing the $\alpha$ matrices to the spin-$S$ matrices and doing a certain scaling, we…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Moitri Maiti , R. Shankar

We derive a semiclassical trace formula for a symmetry reduced part of the spectrum in axially symmetric systems. The classical orbits that contribute are closed in (\rho,z,p_\rho,p_z) and have p_\phi = m\hbar where m is the azimuthal…

chao-dyn · Physics 2009-10-30 Santanu Pal , Debabrata Biswas

The transport of ultra-cold atoms in magneto-optical potentials provides a clean setting in which to investigate the distinct predictions of classical versus quantum dynamics for a system with coupled degrees of freedom. In this system,…

In the framework of semiclassical theory the universal properties of quantum systems with classically chaotic dynamics can be accounted for through correlations between partner periodic orbits with small action differences. So far, however,…

Chaotic Dynamics · Physics 2016-02-17 Boris Gutkin , Vladimir Osipov

New physics that exhibits irregular tracks such as kinks, intermittent hits or decay in flight may easily be missed at hadron colliders. We demonstrate this by studying viable models of light, O(10 GeV), colored particles that decay…

High Energy Physics - Phenomenology · Physics 2015-05-27 Patrick Meade , Michele Papucci , Tomer Volansky

The classical trajectories of a particle governed by the PT-symmetric Hamiltonian $H=p^2+x^2(ix)^\epsilon$ ($\epsilon\geq0$) have been studied in depth. It is known that almost all trajectories that begin at a classical turning point…

Quantum Physics · Physics 2010-11-30 Carl M. Bender , Hugh F. Jones

We examine the spatial distribution of electrons generated by a fixed energy point source in uniform, parallel electric and magnetic fields. This problem is simple enough to permit analytic quantum and semiclassical solution, and it harbors…

Quantum Physics · Physics 2007-05-23 Christian Bracher , Tobias Kramer , John B. Delos

Bifurcations of classical orbits introduce divergences into semiclassical spectra which have to be smoothed with the help of uniform approximations. We develop a technique to extract individual energy levels from semiclassical spectra…

Chaotic Dynamics · Physics 2009-11-07 T. Bartsch , J. Main , G. Wunner

We describe how quasiclassical relative positions of particles emerge in an initially delocalized quantum system as scattering of a probe beam is observed. We show that in the multiparticle case this localization in position space occurs…

Quantum Physics · Physics 2015-05-04 James S. Douglas , Keith Burnett

We study effective models describing systems of quantum particles interacting with quantized (electromagnetic) fields in the quasi-classical regime, i.e., when the field's state shows a large average number of excitations. Once the field's…

Mathematical Physics · Physics 2025-03-19 S. Breteaux , M. Correggi , M. Falconi , J. Faupin

We study the problem of particle indistinguishability for the three cases known in nature: identical classical particles, identical bosons and identical fermions. By exploiting the fact that different types of particles are associated with…

Quantum Physics · Physics 2013-08-09 Falk Töppel , Andrea Aiello

We study quantum particles in interaction with a force-carrying field, in the quasi-classical limit. This limit is characterized by the field having a very large number of excitations (it is therefore macroscopic), while the particles…

Mathematical Physics · Physics 2021-04-22 M. Correggi , M. Falconi , M. Olivieri

The long-standing challenge to describing charged particle dynamics in strong classical electromagnetic fields is how to incorporate classical radiation, classical radiation reaction and quantized photon emission into a consistent unified…

Plasma Physics · Physics 2017-08-02 B. M. Hegelich , L. Labun , O. Z. Labun

The application of a classical approach to various quantum problems - the secular perturbation approach to quantization of a hydrogen atom in external fields and a helium atom, the adiabatic switching method for calculation of a…

Quantum Physics · Physics 2015-05-18 Evgeni A. Solov'ev

By adding generalizations involving translations, the machinery of the quantum theory of free fields leads to the semiclassical equations of motion for a charged massive particle in electromagnetic and gravitational fields. With the…

General Physics · Physics 2015-07-07 Richard Shurtleff

The role that quasiparticles play in a strong interaction system with spontaneous symmetry breaking is examined. We find, using a non- perturbative cluster decomposition method, that the quasiparticles do not saturate the physical local…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Ying

In this short note we study Spin-Boson Models from the Quasi-Classical standpoint. In the Quasi-Classical limit, the field becomes macroscopic while the particles it interacts with, they remain quantum. As a result, the field becomes a…

Mathematical Physics · Physics 2022-09-15 Michele Correggi , Marco Falconi , Marco Merkli

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