Relativistic spin-1 particles with position-dependent mass under the Coulomb interaction: Exact analytical solutions of the DKP equation
نویسندگان
چکیده
منابع مشابه
Exact Solutions of the Schrödinger Equation with position-dependent effective mass via general point canonical transformation
Exact solutions of the Schrödinger equation are obtained for the Rosen-Morse and Scarf potentials with the position-dependent effective mass by appliying a general point canonical transformation. The general form of the point canonical transformation is introduced by using a free parameter. Two different forms of mass distributions are used. A set of the energy eigenvalues of the bound states a...
متن کاملSolutions of the spatially-dependent mass Dirac equation with the spin and pseudospin symmetry for the Coulomb-like potential
We study the effect of spatially dependent mass function over the solution of the Dirac equation with the Coulomb potential in the (3 + 1)-dimensions for any arbitrary spin-orbit κ state. In the framework of the spin and pseudospin symmetry concept, the analytic bound state energy eigenvalues and the corresponding upper and lower two-component spinors of the two Dirac particles are obtained by ...
متن کاملTwistor Solutions of the dKP Equation ∗
The factorization problem for the group of canonical transformations close to the identity and the corresponding twistor equations for an ample family of canonical variables are considered. A method to deal with these reductions is developed for the construction classes of nontrivial solutions of the dKP equation.
متن کاملSolution of the Dirac equation with position-dependent mass in the Coulomb field
We obtain exact solution of the Dirac equation for a charged particle with position-dependent mass in the Coulomb field. The effective mass of the spinor has a relativistic component which is proportional to the square of the Compton wavelength and varies as 1/r . It is suggested that this model could be used as a tool in the renormalization of ultraviolet divergences in field theory. The discr...
متن کاملRelativistic Coulomb problem for particles with arbitrary half - integer spin
Using relativistic tensor-bispinorial equations proposed in hep-th/0412213 we solve the Kepler problem for a charged particle with arbitrary half-integer spin interacting with the Coulomb potential. 1 Introduction Exactly solvable problems in quantum mechanics are quite important and illustrative but rather rare (see, e.g., [2]). They can be described fully and in a straightforward way free of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Canadian Journal of Physics
سال: 2013
ISSN: 0008-4204,1208-6045
DOI: 10.1139/cjp-2012-0256