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We show that the conditions which originate the spin and pseudospin symmetries in the Dirac equation are the same that produce equivalent energy spectra of relativistic spin-1/2 and spin-0 particles in the presence of vector and scalar…

Nuclear Theory · Physics 2008-11-26 P. Alberto , A. S. de Castro , M. Malheiro

The Dirac equation is a paradigmatic model that describes a range of intriguing properties of relativistic spin-1/2 particles, from the existence of antiparticles to Klein tunneling. However, the Dirac-like equations have found application…

We study spectra of long wavelength plasma oscillations in a system of two energy splitted one-dimensional (1D) massless Dirac fermion subbands coupled by spin-orbit interaction. Such a system may be formed by edge subbands in…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 V. V. Enaldiev

We present a general model allowing "quantum simulation" of one-dimensional Dirac models with 2- and 4-component spinors using ultracold atoms in driven 1D tilted optical latices. The resulting Dirac physics is illustrated by one of its…

Quantum Physics · Physics 2017-11-01 Jean Claude Garreau , Véronique Zehnlé

There are gauge-transformation operators applicable to massless spin-1/2 particles within the little-group framework of internal space-time symmetries of massive and massless particles. It is shown that two of the $SL(2,c)$ spinors are…

High Energy Physics - Theory · Physics 2007-05-23 Y. S. Kim

We calculate the bilinear combination of Dirac tensors describing the creation of a pair of charged particle (pi-meson or leptons) by virtual photons integrated on the final particle phase volume. It can be interpreted as an s channel…

High Energy Physics - Phenomenology · Physics 2015-06-11 A. I. Ahmadov , S. Bakmaev , E. A. Kuraev

We study a scale invariant extension of the standard model which can explain simultaneously dark matter and the hierarchy problem. In our set-up, we introduce a scalar and a spinor as two-component dark matter in addition to scalon field as…

High Energy Physics - Phenomenology · Physics 2018-08-28 Seyed Yaser Ayazi , Ahmad Mohamadnejad

We rewrite the standard 4-dimensional Dirac equation in terms of quaternionic 2-component spinors, leading to a formalism which treats both massive and massless particles on an equal footing. The resulting unified description has the…

High Energy Physics - Theory · Physics 2007-05-23 Tevian Dray , Corinne A. Manogue

The so-called Dirac oscillator was proposed as a modification of the free Dirac equation which reproduces many of the properties of the simple harmonic oscillator but accompanied by a strong spin-orbit coupling term. It has yet to be…

Quantum Physics · Physics 2014-09-19 C. R. Hagen

Light-shining-through-walls experiments are the search experiments for weakly interacting slim particles (WISPs) with the smallest model dependence. They have the advantage that not only the detection, but also the production of the WISPs…

Instrumentation and Detectors · Physics 2014-10-08 Friederike Januschek

Topological insulators are candidates to open up a novel route in spin based electronics. Different to traditional ferromagnetic materials, where the carrier spin-polarization and magnetization are based on the exchange interaction, the…

Dirac delta-function potential is widely studied in quantum mechanics because it usually can be exactly solved and at the same time is useful in modeling various physical systems. Here we study a system of delta-potential trapped spinorbit…

Quantum Gases · Physics 2020-06-01 Jieli Qin , Renfei Zheng , Lu Zhou

A Dirac spinor is coupled to topologically massive gravity and the D=3 dimensional action is reduced to D=2 dimensions with a metric that includes both the electromagnetic potential 1-form A and a dilaton scalar \phi. The dimensionnaly…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Adak , T. Dereli

Adding spin-polarized carriers to semiconductor lasers strongly changes their properties and, through the transfer of angular momentum, leads to the emission of circularly polarized light. In such spin-lasers, the polarization of the…

Mesoscale and Nanoscale Physics · Physics 2025-09-03 Velimir Labinac , Jiayu David Cao , Gaofeng Xu , Igor Žutić

Scattering of a 2D Dirac electrons on a rectangular matrix potential barrier is considered using the formalism of spinor transfer matrices. It is shown, in particular, that in the absence of the mass term, the Klein tunneling is not…

Mesoscale and Nanoscale Physics · Physics 2016-03-22 Mikhail Erementchouk , Pinaki Mazumder , M. A. Khan , Michael N. Leuenberger

The $C_{2v}$ symmetry of the W(110) surface influences strongly the spin-polarized Dirac-cone-like surface state within a spin-orbit-induced symmetry gap. We present a detailed angle-resolved photoemission study with $s$- and $p$-polarized…

Mesoscale and Nanoscale Physics · Physics 2012-07-17 K. Miyamoto , A. Kimura , T. Okuda , K. Shimada , H. Iwasawa , H. Hayashi , H. Namatame , M. Taniguchi , M. Donath

Within general relativity, we construct sequences of rapidly rotating Dirac stars consisting of a spinor fluid described by an effective equation of state. We find the physically relevant domain of stable configurations and calculate their…

General Relativity and Quantum Cosmology · Physics 2022-07-15 Vladimir Dzhunushaliev , Vladimir Folomeev , Nassurlla Burtebayev

We explore a gauged $U(1)_{B-L}$ extension of standard model with inclusion of three right-handed neutrinos of exotic $B-L$ charges to cancel the gauge anomaly. Non-trivial transformation of new particles under $B-L$ symmetry forbids the…

High Energy Physics - Phenomenology · Physics 2022-07-13 Subhasmita Mishra , Nimmala Narendra , Prafulla Kumar Panda , Nirakar Sahoo

We demonstrate slow and stored light in Rb vapor with a combination of desirable features: minimal loss and distortion of the pulse shape, and large fractional delay (> 10). This behavior is enabled by: (i) a group index that can be…

Optics · Physics 2009-11-13 Irina Novikova , David F. Phillips , Ronald L. Walsworth

In a simple extension of the standard model (SM), a pair of vector like lepton doublets ($L_1$ and $L_2$) and a $SU(2)_L$ scalar doublet ($\eta$) have been introduced to help in accommodating the discrepancy in determination of the…

High Energy Physics - Phenomenology · Physics 2022-08-29 Bibhabasu De , Debottam Das , Manimala Mitra , Nirakar Sahoo