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The motion of neutral particles with magnetic moments in an inhomogeneous magnetic field is described in a quantum mechanical framework. The validity of the semi-classical approximations which are generally used to describe these phenomena…

Quantum Physics · Physics 2009-11-10 G. Potel , F. Barranco , S. Cruz-Barrios , J. Gómez-Camacho

We use spin-coherent states as a time-dependent variational ansatz for a semiclassical description of a large family of Heisenberg models. In addition to common approaches we also evaluate the square variance of the Hamiltonian in terms of…

Condensed Matter · Physics 2009-10-31 John Schliemann , Franz G. Mertens

A procedure based on the semiclassical approximation for high energy levels is developed to yield solutions to the classical equation of charge motion and to the Bargmann-Michel-Telegdi spin equation. To this end, exact solutions to the…

Mathematical Physics · Physics 2017-08-10 V. A. Bordovitsyn , A. N. Myagkii

The method of integrals of motion is used to construct families of generalized coherent states of a nonrelativistic spinless charged particle in a constant electric field. Families of states, differing in the values of their standard…

Quantum Physics · Physics 2018-05-16 T. C. Adorno , A. S. Pereira

We present a construction of semi-classical states for P\"oschl-Teller potentials based on a supersymmetric quantum mechanics approach. The parameters of these "coherent" states are points in the classical phase space of these systems. They…

Quantum Physics · Physics 2010-07-23 H. Bergeron , J. -P. Gazeau , P. Siegl , A. Youssef

The Stern-Gerlach experiment has played an important role in our understanding of quantum behavior. We propose and analyze a modified version of this experiment where the magnetic field of the detector is in a quantum superposition, which…

Quantum Physics · Physics 2018-03-29 R. G. Daghigh , M. D. Green , C. J. West

Emergence of classicality from quantum mechanics, a hotly debated topic, has had no satisfactory resolution so far. Various approaches including decoherence and gravitational interactions have been suggested. In the present work, the…

Quantum Physics · Physics 2023-02-08 Sourav Kesharee Sahoo , Radhika Vathsan , Tabish Qureshi

The spin coherent state path integral describing the dynamics of a spin-1/2-system in a magnetic field of arbitrary time-dependence is considered. Defining the path integral as the limit of a Wiener regularized expression, the semiclassical…

Quantum Physics · Physics 2008-11-26 Adrian Alscher , Hermann Grabert

The appearance of tracks, close to classical orbits, left by charged quantum particles propagating inside a detector, such as a cavity periodically illuminated by light pulses, is studied for a family of idealized models. In the…

Mathematical Physics · Physics 2022-06-29 Tristan Benoist , Martin Fraas , Jürg Fröhlich

We propose a state estimation scheme for spins, using a modified setup of the Stern-Gerlach experiment, in which a beam of neutral spin-1/2 point particles interacts with a quadrupolar magnetic field. The proposed linear inversion…

Quantum Physics · Physics 2021-04-07 Javier Martínez-Cifuentes , K. M. Fonseca-Romero

Semiclassical periodic orbit theory is used in many branches of physics. However, most applications of the theory have been to systems which involve only single particle dynamics. In this work, we develop a semiclassical formalism to…

Chaotic Dynamics · Physics 2009-10-31 Jamal Sakhr , Niall D. Whelan

The semiclassical propagation of spin coherent states is considered in complex phase space. For two time-independent systems we find the appropriate classical trajectories and show that their combined contributions are able to describe…

Quantum Physics · Physics 2007-12-04 M. Novaes

The behavior of spin-1/2 particle in a weak static gravitational field is considered. The Dirac Hamiltonian is diagonalized by the Foldy-Wouthuysen transformation providing also the simple form for the momentum and spin polarization…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. J. Silenko , O. V. Teryaev

We study a general bipartite quantum system consisting of a spin interacting with a bosonic field, with the initial state prepared as the product of a spin coherent state and a canonical coherent state. Our goal is to develop a…

Quantum Physics · Physics 2026-01-23 Matheus V. Scherer , Lea F. Santos , Alexandre D. Ribeiro

We study the canonical and the coherent state quantization of a particle moving in a magnetic field on a non-commutative plane. Starting from the so called \theta-modified action, we perform the canonical quantization and analyze the gauge…

Quantum Physics · Physics 2009-10-06 M. C. Baldiotti , J. P. Gazeau , D. M. Gitman

We consider the semiclassical theory in a joint phase space of spin and orbital degrees of freedom. The method is developed from the path integrals using the spin-coherent-state representation, and yields the trace formula for the density…

Chaotic Dynamics · Physics 2009-11-10 Mikhail Pletyukhov , Oleg Zaitsev

Assuming that the mechanism proposed by Gell-Mann and Hartle works as a mechanism for decoherence and classicalization of the metric field, we formally derive the form of an effective theory for the gravitational field in a semiclassical…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Rosario Martin , Enric Verdaguer

Coherent states provide an appealing method to reconstruct efficiently a pure state of a quantum mechanical spin s. A Stern-Gerlach apparatus is used to measure (4s+1) expectations of projection operators on appropriate coherent states in…

Quantum Physics · Physics 2007-05-23 Jean-Pierre Amiet , Stefan Weigert

Spin dynamics in spatially inhomogeneous magnetic fields is studied within the framework of Boltzmann theory. Stern-Gerlach-like separation of spin up and spin down electrons occurs in ballistic and diffusive regimes, before spin relaxation…

Condensed Matter · Physics 2007-05-23 Jaroslav Fabian , S. Das Sarma

We investigate dynamics of semi-quantal spin systems in which quantum bits are attached to classically and possibly stochastically moving classical particles. The interaction between the quantum bits takes place when the respective…

Quantum Physics · Physics 2009-11-13 Matyas Koniorczyk , Arpad Varga , Peter Rapcan , Vladimir Buzek
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