On the Dirac Oscillator

نویسندگان

  • R. de Lima Rodrigues
  • Arvind Narayan Vaidya
چکیده

R. de Lima Rodrigues Unidade Acadêmica de Educação Universidade Federal de Campina Grande, Cuité PB, CEP 58.175-000Brazil Centro Brasileiro de Pesquisas F́ısicas (CBPF) Rua Dr. Xavier Sigaud, 150, CEP 22290-180, Rio de Janeiro, RJ, Brazil Jambunatha Jayaraman (In memory) Departamento de F́ısica (CCEN), Universidade Federal da Paráıba, Campus I, João Pessoa-PB, CEP 58.059-970, Brazil Arvind Narayan Vaidya (In memory) Instituto de F́ısica Universidade Federal do Rio de Janeiro Caixa Postal 68528 CEP 21945-970, Rio de Janeiro, Brazil

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A QUARTIC POTENTIAL FOR THE NUCLEONIC QUARKS

We assume that each valence quark in a nucleon is in a phenomenological modified harmonic oscillator potential of the form: ( l+yo) (ar +br+cr +dr ), where a, b, c and d are constants and ? is one of the Dirac matrices. Then by making use of a suitable ansatz, the Dirac equation has a very simple solution which is exact. We then have calculated the static properties of the nucleon in the ...

متن کامل

Some Observations on Dirac Measure-Preserving Transformations and their Results

Dirac measure is an important measure in many related branches to mathematics. The current paper characterizes measure-preserving transformations between two Dirac measure spaces or a Dirac measure space and a probability measure space. Also, it studies isomorphic Dirac measure spaces, equivalence Dirac measure algebras, and conjugate of Dirac measure spaces. The equivalence classes of a Dirac ...

متن کامل

Exact solution of the two-dimensional Dirac oscillator.

In the present article we have found the complete energy spectrum and the corresponding eigenfunctions of the Dirac oscillator in two spatial dimensions. We show that the energy spectrum depends on the spin of the Dirac particle. Typeset using REVTEX 1 Recently, Moshinsky and Szczepaniak [1] have proposed a new type of interaction in the Dirac equation which, besides the momentum, is also linea...

متن کامل

ar X iv : h ep - t h / 03 03 14 2 v 1 16 M ar 2 00 3 One - dimensional Dirac oscillator in a thermal bath

The name Dirac oscillator was first introduced by Moshinky and Szczepaniak [1] for a Dirac equation in which the momentum p is replaced by p → p−imωβr with r being the position vector, m the mass of the particle and ω the frequency of the oscillator. The name was given because the determination of the spectrum and eigenstate of a Dirac oscillator [1] was obtained from that of an ordinary oscill...

متن کامل

First experimental realization of the Dirac oscillator.

We present the first experimental microwave realization of the one-dimensional Dirac oscillator, a paradigm in exactly solvable relativistic systems. The experiment relies on a relation of the Dirac oscillator to a corresponding tight-binding system. This tight-binding system is implemented as a microwave system by a chain of coupled dielectric disks, where the coupling is evanescent and can be...

متن کامل

Energy-levels crossing and radial Dirac equation: Supersymmetry and quasi-parity spectral signatures

The (3+1)-dimensional Dirac equation with position dependent mass in 4-vector electromagnetic fields is considered. Using two over-simplified examples (the Dirac-Coulomb and Dirac-oscillator fields), we report energylevels crossing as a spectral property or as an effect of the hidden supersymmetric quantum mechanical language and/or quasi-parity signatures. Under different settings of the relat...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008