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In 1934, physicist Eugene Wigner made a theoretical prediction based on quantum mechanics that for decades years went unseen.
Abstract: We consider a dilute version of the Wigner ensemble of n-dimensional random matrices H such that each row has in average \rho_n non-zero elements. We study asymptotic properties of the spect...
We study the Wigner functions of the nucleon which provide multidimensional images of the quark distributions in phase space. These functions can be obtained through a Fourier transform in the transve...
How universal is the Wigner distribution?     Wigner distribution  universal  Statistical Mechanics       font style='font-size:12px;'> 2011/8/17
Abstract: We consider Gaussian ensembles of m N x N complex matrices. We identify an enhanced symmetry in the system and the resultant closed subsector, which is naturally associated with the radial s...
Abstract: In this paper we present the generating function method for the derivation of bosons polynomials of Gel'fand basis and Wigner coefficients for the canonical basis of SU(n). We find a new ana...
Streaked photoemission metrology allows the observation of an apparent relative time delay between the detection of photoelectrons from different initial electronic states. This relative delay is obta...
Strong field effects in laser pulses: the Wigner formalism     Strong field effects  laser pulses       font style='font-size:12px;'> 2010/12/24
We investigate strong field vacuum effects using a phase space approach based on the Wigner formalism. We calculate the Wigner function in a strong null-field background exactly, using lightfront fiel...
The Bargmann-Wigner Formalism for Higher Spins (up to 2)     The Bargmann-Wigner Formalism  Higher Spins       font style='font-size:12px;'> 2010/12/24
On the basis of our recent modifications of the Dirac formalism we generalize the Bargmann-Wigner formalism for higher spins to be compatible with other formalisms for bosons. Relations with dual elec...
We study N interacting massless Dirac fermions confined in a two-dimensional quantum dot. Physical realizations of this problem include a graphene monolayer and the surface state of a strong topologi...
The Bargmann-Wigner Formalism for Higher Spins (up to 2)      Bargmann-Wigner Formalism  Higher Spins       font style='font-size:12px;'> 2010/12/21
On the basis of our recent modifications of the Dirac formalism we general-ize the Bargmann-Wigner formalism for higher spins to be compatible with other formalisms for bosons.
We consider the linear Wigner-Fokker-Planck equation subject to confining potentials which are smooth perturbations of the harmonic oscillator potential. For a certain class of perturbations we prove ...
In this paper, we give a Schr\"odinger-type uncertainty relation using the Wigner-Yanase-Dyson skew information. In addition, we give Schr\"odinger-type uncertainty relation by use of a two-parameter...
By introducing the thermo entangled state representation, we convert the calculation of Wigner function (WF) of density operator to an overlap between "two pure" states in a two-mode enlarged Fock spa...
Operator formalism for the Wigner phase distribution      Operator formalism  Wigner phase distribution        font style='font-size:12px;'> 2010/10/20
The probability distribution for finding a state of the radiation field in a particular phase is described by a multitude of theoretical formalisms; the phase-sensitivity of the Wigner quasi-probabili...
Semiclassical Mechanics of the Wigner $6j$-Symbol      Semiclassical Mechanics  Wigner $6j$-Symbol        font style='font-size:12px;'> 2010/10/27
The semiclassical mechanics of the Wigner 6j-symbol is examined from the standpoint of WKB theory for multidimensional, integrable systems,to explore the geometrical issues surrounding the Ponzano-Reg...

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