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The quantum evolution of the Wigner function for Gaussian wave packets generated by a non-Hermitian Hamiltonian is investigated. In the semiclassical limit $\hbar\to 0$ this yields the non-Hermitian analog of the Ehrenfest theorem for the…

Quantum Physics · Physics 2011-07-04 Eva-Maria Graefe , Roman Schubert

A novel effect in a granular material under swirling motion of the container is presented. At low packing densities the material rotates in the same direction as the swirling motion of the container (rotation). At higher densities the…

Statistical Mechanics · Physics 2009-11-07 Michael A. Scherer , Volkhard Buchholtz , Thorsten Poeschel , Ingo Rehberg

We describe the dynamical behavior of newborn pulsars modeled as homogeneous rotating spheroids. The dynamical evolution is triggered by the escape of trapped neutrinos, provided the initial equilibrium configuration. It is shown that for a…

High Energy Astrophysical Phenomena · Physics 2014-07-17 Hilario Rodrigues , Ana Maria Endler , Sergio B. Duarte , Marcelo Chiapparini

The stochastic gravitational wave background for pulsar timing arrays is often modeled by a Gaussian ensemble which is isotropic and unpolarized. However, the Universe has a discrete set of polarized gravitational wave sources at specific…

General Relativity and Quantum Cosmology · Physics 2024-05-02 Bruce Allen , Serena Valtolina

We investigate the dynamics of a charged particle interacting with a multimode quantized electromagnetic field and obtain an analytic solution for the full electron--field system. This framework enables the calculation of position…

The wave-packet treatment of neutrino oscillation developed previously is extended to the case in which momentum distribution functions are taken to be a Gaussian form with both central values and dispersions depending on the mass…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Takeuchi , Y. Tazaki , S. Y. Tsai , T. Yamazaki

We expand on a previous study, offering a generalized wave function associated with the parabolic cylinder function and a connection with a two-particle position-space wave function. We also provide an explicit formula for a wave function…

Classical Analysis and ODEs · Mathematics 2018-05-29 Alexander E Patkowski

Angular momentum and torque are important principles for basic and applied physics on any spatial scales, for example, in elementary particles, cold gases, optical tweezers, quantum information technology, metamaterials, gyroscopes or…

Optics · Physics 2024-12-16 Y. Fang , J. Kuttruff , P. Baum

This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating slab (between two parallel planes) in the weak-scattering regime, and the study of boundary effects through an…

Analysis of PDEs · Mathematics 2023-08-03 Adel Messaoudi , Régis Cottereau , Christophe Gomez

The present work investigates some exact solutions of the gravitational wave equation in some widely used cosmological spacetimes. The examples are taken from spatially flat and closed isotropic models as well as Kasner metric which is…

General Relativity and Quantum Cosmology · Physics 2021-07-06 Sushovan Mondal , Saif Ali , Shanima S , Narayan Banerjee , Golam Mortuza Hossain

We study evolution of a quantum particle in a harmonic potential whose position and momentum are repeatedly monitored. A back-action of measuring devices is accounted for. Our model utilizes a generalized measurement corresponding to the…

Quantum Physics · Physics 2023-06-16 Filip Gampel , Mariusz Gajda

We show the method for constructing nonspreading wave packets whose shape and motion can be general. We analyze the time evolution of nonspreading wave packets by decomposing the Hamiltonian into two parts. Of the two, one changes the…

Quantum Physics · Physics 2017-09-01 Chyi-Lung Lin

We consider a charged particle driven by a time-dependent flux threading a quantum ring. The dynamics of the charged particle is investigated using classical treatment, Fourier expansion technique, time-evolution method, and…

Mesoscale and Nanoscale Physics · Physics 2008-07-29 Pi-Gang Luan , Chi-Shung Tang

The geometry of the rotating disk is revisited and the quantum consequences are discussed. A suggestion to detect the presence of the Gaussian curvature on the rotating disk only measuring transition frequencies is made. A quantum…

General Physics · Physics 2015-05-20 Victor Atanasov , Rossen Dandoloff

It was also shown recently that GUP predicts potentially measurable corrections to the `doubling time' of freely moving Gaussian atomic and molecular wavepackets with a favorable combination of three parameters, {\it e.g.} mass, initial…

General Relativity and Quantum Cosmology · Physics 2023-08-08 Saurya Das , Sujoy K. Modak

The revival structure of wave packets is examined for quantum systems having energies that depend on two nondegenerate quantum numbers. For such systems, the evolution of the wave packet is controlled by two classical periods and three…

Quantum Physics · Physics 2009-09-25 Robert Bluhm , Alan Kostelecky , Bogdan Tudose

Based on the modelling of quantum systems with the aid of (classical) non-equilibrium thermodynamics, both the emergence and the collapse of the superposition principle are understood within one and the same framework. Both are shown to…

Quantum Physics · Physics 2010-08-31 Gerhard Groessing , Siegfried Fussy , Johannes Mesa Pascasio , Herbert Schwabl

We study the interaction between gravitational waves and a quantum two-level system consisting of a spin 1/2 particle using the formalism of the proper detector frame. This approach highlights the effects of gravitational waves on both the…

General Relativity and Quantum Cosmology · Physics 2025-02-28 Matteo Luca Ruggiero

We simulate the center of mass motion of cold atoms in a standing, amplitude modulated, laser field as an example of a system that has a classical mixed phase-space. We show a simple model to explain the momentum distribution of the atoms…

Quantum Physics · Physics 2007-05-23 M. Hug , G. J. Milburn

We present a spin-induced none-geodesic effect of Dirac wave packets in a static uniform gravitational field. Our approach is based on the Foldy-Wouthuysen transformation of Dirac equation in a curved spacetime, which predicts the…

General Relativity and Quantum Cosmology · Physics 2023-10-27 Zhen-Lai Wang