Zitterbewegung of bosons
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TL;DR: In this paper, the authors analyzed the Zitterbewegung of massive and massless scalar bosons and a massive Proca (spin-1) boson in the generalized Feshbach-Villars representation.
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Abstract: Zitterbewegung of massive and massless scalar bosons and a massive Proca (spin-1) boson is analyzed. The equations describing the evolution of the velocity and position of the scalar boson in the generalized Feshbach–Villars representation and the corresponding equations for the massive Proca particle in the Sakata–Taketani representation are equivalent to each other and to the well-known equations for the Dirac particle. However, Zitterbewegung does not appear in the Foldy–Wouthuysen representation. Since the position and velocity operators in the Foldy–Wouthuysen representation and their transforms to other representations are the quantum-mechanical counterparts of the corresponding classical variables, Zitterbewegung is not observable.
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Citations
Multi-folds, Non-Commutative Spacetime, Spin, and All That
Stéphane Maes
- 06 May 2024
TL;DR: Multi-fold spacetime is non-commutative, and spin is not a relativistic concept. Fermions imply non-commutative spacetime, while bosons do not.
Electron dynamics in noncommutative geometry with magnetic field and Zitterbewegung phenomenon
TL;DR: In this article, a non-gauge-invariant Dirac Hamiltonian with noncommutativity of space sector in the presence of an external uniform magnetic field has been solved for electrons and its corresponding Zitterbewegung phenomenon has been studied.
15
<i>Zitterbewegung</i> of massless particles
21 Jun 2022
TL;DR: In this paper , the authors analyzed Zitterbewegung of massless particles with an arbitrary spin in various representations, including the generalized Feshbach-Villars representation and the Foldy-Wouthuysen one.
Scalar Product for a Version of Minisuperspace Model with the Grassmann Variables
18 Apr 2023
TL;DR: In this paper , the Schramp;ouml;dinger equation was used to transform a system with constraints into an unconstraint system, and the Grassmann variables were applied to transform constraints into unconstraints instead of the Wheeler-DeWitt one.
1
Solution of Relativistic Feshbach–Villars Spin-1/2 Equations
D. Wingard,A. Garcia Vallejo,Z. Papp +2 more
TL;DR: A computational method is proposed to solve relativistic spin-1/2 particle equations, reformulating the Feshbach-Villars Hamiltonian as two coupled spin-0 Hamiltonians, and employing an integral equation formalism with a discrete Hilbert space basis and matrix continued fraction.
1
References
On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit
TL;DR: In this paper, a canonical transformation on the Dirac Hamiltonian for a free particle is obtained in which positive and negative energy states are separately represented by two-component wave functions.
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Elementary Relativistic Wave Mechanics of Spin 0 and Spin 1/2 Particles
Herman Feshbach,F. Villars +1 more
TL;DR: In this paper, a unified view of the relativistic single particle wave mechanics for both the spin 0 boson and the spin 1/2 h fermion is presented.
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