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By the use of complete orthonormal sets of nonrelativistic scalar orbitals introduced by the author in previous papers the new complete orthonormal basis sets for two-and four-component spinor wave functions, and Slater spinor orbitals…

化学物理 · 物理学 2008-05-06 I. I. Guseinov

The effect of the relativistic spin rotation on two--particle spin states, conditioned by the setting of the spins of the particles in their rest frames and by the noncommutativity of the Lorentz transformations along noncolinear…

高能物理 - 唯象学 · 物理学 2009-11-10 R. Lednicky , V. L. Lyuboshitz , V. V. Lyuboshitz

The motion of neutral particles with magnetic moments in an inhomogeneous magnetic field is described in a semi-classical framework. The concept of Coherent Internal States is used in the formulation of the semiclassical approximation from…

量子物理 · 物理学 2009-11-06 S. Cruz-Barrios , J. Gomez-Camacho

This article illustrates the bound states of Kemmer equation for spin-1 particles. The asymptotic, exact and Coulomb field solutions are obtained by using action principle. In the conclusion the energy spectrum of spin-1 particles moving in…

高能物理 - 理论 · 物理学 2007-05-23 S. Gonen , A. Havare , N. Unal

A new technique has been developed to calculate scattering of spin-1/2 and spin-0 particles. The so called momentum-helicity basis states are constructed from the helicity and the momentum states, which are not expanded in the angular…

核理论 · 物理学 2015-05-18 I. Abdulrahman , I. Fachruddin

We performed an experimental test of the Kochen-Specker theorem based on an inequality derived from the Peres-Mermin proof, using spin-path (momentum) entanglement in a single neutron system. Following the strategy proposed by Cabello et…

量子物理 · 物理学 2009-07-28 H. Bartosik , J. Klepp , C. Schmitzer , S. Sponar , A. Cabello , H. Rauch , Y. Hasegawa

Four formulations of perfect spin hydrodynamics for spin-1/2 particles, distinguished by their treatment of spin (classical vs. quantum) and by the underlying particle statistics (Boltzmann vs. Fermi-Dirac), are analyzed and shown to…

高能物理 - 唯象学 · 物理学 2025-11-25 Samapan Bhadury , Zbigniew Drogosz , Wojciech Florkowski , Sudip Kumar Kar , Valeriya Mykhaylova

We study equilibrium configurations of infinitely many identical particles on the real line or finitely many particles on the circle, such that the (repelling) force they exert on each other depends only on their distance. The main question…

经典分析与常微分方程 · 数学 2016-04-11 Agelos Georgakopoulos , Mihail N. Kolountzakis

The claim of Meyer, Kent and Clifton (MKC) that finite precision measurement nullifies the Kochen-Specker theorem is criticised. It is argued that, although MKC have nullified the Kochen-Specker theorem strictly so-called, there are other,…

量子物理 · 物理学 2007-05-23 D. M. Appleby

A 6-component "wave function" (not field, but S-matrix interpretable) for a massive spin-1 particle parallels the Dirac "chirality-doubled" 4-component wave function for a spin-1/2 particle, by pairing two wave functions for same spin but…

高能物理 - 理论 · 物理学 2007-05-23 Geoffrey F. Chew , Henry P. Stapp

The Mathisson-Papapetrou-Dixon (MPD) equations, providing the "pole-dipole" description of spinning test particles in general relativity, have to be supplemented by a condition specifying the worldline that will represent the history of the…

广义相对论与量子宇宙学 · 物理学 2018-06-01 L. Filipe O. Costa , Georgios Lukes-Gerakopoulos , Oldřich Semerák

Effective electric and magnetic polarizabilities of pointlike spin-1/2 particles possesing an anomalous magnetic moment are calculated with the transformation of an initial Hamiltonian to the Foldy-Wouthuysen representation.…

高能物理 - 理论 · 物理学 2014-11-24 A. J. Silenko

There are a number of papers dedicated to the description of free particles and antiparticles with zero mass and spin 1/2. A great many equations with different C, P, T properties have been proposed and the impression could be formed that…

量子物理 · 物理学 2007-05-23 Wilhelm I. Fushchych , Anatoly G. Nikitin

A relativistic particle in an attractive Coulomb field as well as a static and spherically symmetric gravitational field is studied. The gravitational field is treated perturbatively and the energy levels are obtained for both spin 0…

广义相对论与量子宇宙学 · 物理学 2011-01-28 Leila Ramezan , Mohammad Khorrami

We investigate a quantum non-relativistic system describing the interaction of two particles with spin 1/2 and spin 0, respectively. Assuming that the Hamiltonian is rotationally invariant and parity conserving we identify all such systems…

数学物理 · 物理学 2021-08-11 I. Yurdusen , O. O. Tuncer , P. Winternitz

In this work we analyze a system consisting in two-dimensional position-dependent massive particles in the presence of a Morse-like potential in two spatial dimensions. We obtain the exact wavefunctions and energies for a complete set of…

量子物理 · 物理学 2017-02-07 R. A. C. Correa , A. de Souza Dutra , J. A. de Oliveira , M. G. Garcia

We point out a possible complementation of the basic equations of quantum mechanics in the presence of gravity. This complementation is suggested by the well-known fact that quantum mechanics can be equivalently formulated in the position…

高能物理 - 理论 · 物理学 2009-05-12 W. Chagas-Filho

The notion of the spin is shown to have two constituents, as exemplified by the spin of the electron. The first one is related to the form of the wave equation and determines the fermion or boson particle type. This implies the spin taking…

量子物理 · 物理学 2010-01-25 O. S. Kosmachev

The effect of the relativistic spin rotation, conditioned by the setting of the spin in the rest frame of a particle and by the noncommutativity of the Lorentz transformations along noncolinear directions, is discussed. In connection with…

高能物理 - 唯象学 · 物理学 2007-05-23 R. Lednicky , V. L. Lyuboshitz , V. V. Lyuboshitz

We show that there exist informationally incomplete phase space observables such that the Cartesian margins are informationally equivalent with position and momentum. This shows that it is possible to reconstruct the position and momentum…

量子物理 · 物理学 2015-06-04 Jussi Schultz