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In terms of a photon wave function corresponding to the (1, 0)+(0, 1) representation of the Lorentz group, the radiation and Coulomb fields within a source-free region can be described unitedly by a Lorentz-covariant Dirac-like equation. In…

Quantum Physics · Physics 2009-09-26 Zhi-Yong Wang , Cai-Dong Xiong , Qi Qiu

The Klein-Gordon equation is used to calculate the Zitterbewegung (ZB, trembling motion) of spin-zero particles in absence of fields and in the presence of an external magnetic field. Both Hamiltonian and wave formalisms are employed to…

Quantum Physics · Physics 2012-09-11 Tomasz M. Rusin , Wlodek Zawadzki

We observe that a weak guided light field transmitted through an ensemble of atoms coupled to an optical nanofiber exhibits quadrature squeezing. From the measured squeezing spectrum we gain direct access to the phase and amplitude of the…

Zitterbewegung (ZBW), the trembling motion predicted by the Dirac equation, has long remained unobservable in free electrons due to its sub-Compton scale. We elaborately construct a relativistic vortex electron wave packet as a coherent…

Quantum Physics · Physics 2025-11-27 Zhongze Guo , Bei Xu , Qiang Gu

If electron zitterbewegung is a real effect, it should generate an electric dipole field oscillating with the zitterbewegung frequency 2mc^2/hbar. The possibility of detecting it as a resonance in electron channeling is analyzed.

General Physics · Physics 2008-02-25 David Hestenes

Traditionally, the zitterbewegung (ZB) of the Dirac electron has just been studied at the level of quantum mechanics. Seeing that the fact that an old interest in ZB has recently been rekindled by the investigations on spintronic, graphene,…

Quantum Physics · Physics 2008-11-14 Zhi-Yong Wang , Cai-Dong Xiong

An optical analogue of Zitterbewegung (ZB), i.e. of the trembling motion of Dirac electrons caused by the interference between positive and negative energy states, is proposed for spatial beam propagation in binary waveguide arrays. In this…

Optics · Physics 2015-05-14 S. Longhi

The rates of electron scattering via phonons in the armchair single-wall carbon nanotubes were calculated by using the improved scattering theory within the tight-binding approximation. Therefore, the problem connected with the discrepancy…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Dmitry Pozdnyakov , Vadim Galenchik , Fadei Komarov , Vladimir Borzdov

We study the zitterbewegung of electronic wave packets in III-V zinc-blende semiconductor quantum wells due to spin-orbit coupling. Our results suggest a direct experimental proof of this fundamental effect, confirming a long-standing…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John Schliemann , Daniel Loss , R. M. Westervelt

In previous investigations on zitterbewegung(zbw) of electron, it is believed that the zbw results from some internal motion of electron. However, all the analyses are made at relativistic quantum mechanical level. In framework of quantum…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zhi-yong Wang , Ailin Zhang

Zitterbewegung, a force-free trembling motion first predicted for relativistic fermions like electrons, was an unexpected consequence of the Dirac equation's unification of quantum mechanics and special relativity. Though the oscillatory…

Carbon nanotube (CNT) electromechanical resonators have demonstrated unprecedented sensitivities for detecting small masses and forces. The detection speed in a cryogenic setup is usually limited by the CNT contact resistance and parasitic…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Kyle Willick , Xiaowu Tang , Jonathan Baugh

We theoretically investigate the current-induced excitation of torsional vibrations in a suspended carbon nanotube (CNT) quantum dot. By considering a CNT clamped between half-metallic ferromagnetic electrodes with an antiparallel…

Mesoscale and Nanoscale Physics · Physics 2026-03-16 Koji Yamada , Wataru Izumida , Mamoru Matsuo , Takeo Kato

We have evaluated the energies required to twist carbon nanotubes (NTs), and investigated the effects of these distortions on their electronic structure and electrical properties. The computed distortion energies are high, indicating that…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Alain Rochefort , Phaedon Avouris

In term of the volume-integrated Poynting vector, we present a quantum field-theory investigation on the zitterbewegung (ZB) of photons, and show that this ZB occurs only in the presence of virtual longitudinal and scalar photons. To…

Quantum Physics · Physics 2015-05-28 Zhi-Yong Wang , Cai-Dong Xiong , Qi Qiu

Ultra-cold atoms which are subject to ultra-relativistic dynamics are investigated. By using optically induced gauge potentials we show that the dynamics of the atoms is governed by a Dirac type equation. To illustrate this we study the…

Quantum Physics · Physics 2009-11-13 M. Merkl , F. E. Zimmer , G. Juzeliunas , P. Öhberg

The notion of zitterbewegung is a long-standing prediction of relativistic quantum mechanics. Here we extend earlier theoretical studies on this phenomenon for the case of III-V zinc-blende semiconductors which exhibit particularly strong…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John Schliemann , Daniel Loss , R. M. Westervelt

We analyze the entanglement between electronic and nuclear motions in molecular wave functions, by using different widely used ansatzes in molecular Hamiltonian models (H$^+_2$ in 1D and the Shin-Metiu model); namely, i) Born-Oppenheimer…

Quantum Physics · Physics 2025-11-13 Juan F. P. Mosquera , Jose Luis Sanz-Vicario

Carbon nanotubes (CNTs - long tubular carbon nanostructures) belong to the best electron field emitting materials. Based on the experimentally determined electron density in the dual hot filament/DC plasma deposition system the electric…

Plasma Physics · Physics 2007-05-23 J. Blazek , P. Spatenka , Ch. Taeschner , A. Leonhardt

Percolation of carbon nanotubes (CNTs) in liquid crystals (LCs) opens way for a unique class of anisotropic hybrid materials with a complex dielectric constant widely controlled by CNT concentration. Percolation in such systems is commonly…

Soft Condensed Matter · Physics 2015-04-30 Serhiy Tomylko , Oleg Yaroshchuk , Nikolai Lebovka