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There are constructed exact solutions of the quantum-mechanical equation for a spin S=1 particle in 2-dimensional Riemannian space of constant positive curvature, spherical plane, in presence of an external magnetic field, analogue of the…

Mathematical Physics · Physics 2011-09-19 E. M. Ovsiyuk , V. V. Kisel , V. M. Red'kov

We argue that in contrast to the classical physics, the measurements in the quantum mechanics should provide simultaneous information about all relevant relative amplitudes (pure states and the transitions between them) and all relevant…

Quantum Physics · Physics 2009-06-23 Daniel Sepunaru , Uzi Notev

When dealing with macroscopic objects one usually observes quasiclassical phenomena, which can be described in terms of quasiclassical (or classical) equations of motion. Recent development of the theory of quantum computation is based on…

Quantum Physics · Physics 2007-05-23 Gennady P. Berman , Gary D. Doolen , Gustavo V. Lopez , Vladimir I. Tsifrinovich

The spin is the prime example of a qubit. Encoding and decoding information in the spin qubit is operationally well defined through the Stern-Gerlach set-up in the non-relativistic (i.e., low velocity) limit. However, an operational…

Quantum Physics · Physics 2019-09-04 Flaminia Giacomini , Esteban Castro-Ruiz , Časlav Brukner

Magnetism is a rich subject touching all aspects of physics. My goal with this dissertation is to explore spin and magnetic moments in \emph{relativistic} mechanics from both a quantum and classical perspective. We emphasize the special…

High Energy Physics - Phenomenology · Physics 2023-10-12 Andrew Steinmetz

An algebraic formalism for description of quantum states of charged particle with spin moving in two-dimensional space under influence of singular magnetic field is developed in terms of graded algebras. The fundamental assumption is that…

q-alg · Mathematics 2009-10-30 Wladyslaw Marcinek

It is shown that neutrino oscillation processes can be consistently described in the framework of quantum field theory. Namely, the oscillating electron survival probabilities in experiments with neutrino detection by charged-current and…

High Energy Physics - Phenomenology · Physics 2018-05-09 Vadim O. Egorov , Igor P. Volobuev

A unified approach to the study of classical and quantum spin in external fields is developed. Understanding the dynamics of particles with spin and dipole moments in arbitrary gravitational, inertial and electromagnetic fields is important…

General Relativity and Quantum Cosmology · Physics 2019-04-02 Yuri N. Obukhov

This paper is the first of two papers devoted to formulation of quantum mechanics of a particle in a normal geodesic frame of reference in the general Riemannian space-time. Here canonical quantization of geodesic motion in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. A. Tagirov

We give a systematic treatment of the quantum mechanics of a spin zero particle in a combined electromagnetic field and a weak gravitational field, which is produced by a slow moving matter source. The analysis is based on the Klein-Gordon…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Ronald J. Adler , Pisin Chen

Regarded as one of the most fundamental concepts of classical mechanics and thermodynamics, work has received well-grounded definitions within the quantum framework since the 1970s, having being successfully applied to many contexts. Recent…

Quantum Physics · Physics 2021-10-22 Thales A. B. Pinto Silva , Renato M. Angelo

This essay is an attempted to address, from a modern perspective, the motion of a particle. Quantum mechanically, motion consists of a series of localizations due to repeated interactions that, taken close to the limit of the continuum,…

General Physics · Physics 2015-05-14 Gerald E. Marsh

We sketch a quantum mechanical framework for the universe as a whole. Within that framework we propose a program for describing the ultimate origin in quantum cosmology of the quasiclassical domain of familiar experience and for…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Murray Gell-Mann , James B. Hartle

Classical transport equations with probabilistic initial conditions can be viewed as quantum systems. In a discrete version they are probabilistic automata. The time-local probabilistic information is encoded in a classical wave function.…

Quantum Physics · Physics 2026-05-18 Christof Wetterich

Bulk magnetism in solids is fundamentally quantum mechanical in nature. Yet in many situations, including our everyday encounters with magnetic materials, quantum effects are masked, and it often suffices to think of magnetism in terms of…

Strongly Correlated Electrons · Physics 2009-11-13 N. B. Christensen , H. M. Ronnow , D. F. McMorrow , A. Harrison , T. G. Perring , M. Enderle , R. Coldea , L. P. Regnault , G. Aeppli

Weak measurements have an increasing number of applications in contemporary quantum mechanics. They were originally described as a weak interaction that slightly entangled the translational degrees of freedom of a particle to its spin,…

A recently introduced class of quantum spherical spin models is considered in detail. Since the spherical constraint already contains a kinetic part, the Hamiltonian need not have kinetic term. As a consequence, situations with or without…

Condensed Matter · Physics 2009-11-10 R. Serral Gracia , Th. M. Nieuwenhuizen

Magnetization of a spin1/2 set is determined by means of their individual wave function. The theoretical treatment based on the fundamental axioms of quantum mechanics and solving explicitly Schr\"odinger equation gives the evolution of…

Quantum Physics · Physics 2023-08-22 Tarek Khalil , Daniel Grucker

The standard presentation of the principles of quantum mechanics is critically reviewed both from the experimental/operational point and with respect to the request of mathematical consistency and logical economy. A simpler and more…

Quantum Physics · Physics 2012-02-02 F. Strocchi

The gravitational field exterior respectively interior to a spherically symmetric, isolated body made of perfect fluid is examined within the quasi-metric framework (QMF). It is required that the gravitational field is "metrically static",…

General Relativity and Quantum Cosmology · Physics 2024-03-21 Dag Østvang