Approximate Solutions of Dirac Equation with Hyperbolic-Type Potential
نویسندگان
چکیده
منابع مشابه
Global Solutions of Einstein–dirac Equation
The conformal space M was introduced by Dirac in 1936. It is an algebraic manifold with a spin structure and possesses naturally an invariant Lorentz metric. By carefully studying the birational transformations of M, we obtain explicitly the transition functions of the spin bundle over M. Since the transition functions are closely related to the propagation in physics, we get a kind of solution...
متن کاملAnalysis of the Numerical Solutions for the Massive Dirac Equation with Electric Potential Employing Biquaternionic Functions
We study a new class of numerical solutions for the Dirac equation, considering electric potentials depending upon one spacial variable, based on the numerical approaching of the Taylor series in formal powers, solutions of a biquaternionic Vekua equation. Furthermore, employing the solutions of the Dirac equation, we plot the probability functions that describe the dynamics of the quantum part...
متن کاملSolutions of a nonlinear Dirac equation with external fields
We study the stationary Dirac equation: −ic~ ∑3 k=1 αk∂ku+mc 2βu+M(x)u = Ru(x, u) where M(x) is a matrix potential describing the external field, and R(x, u) stands for an asymptotically quadratic nonlinearity modelling various types of interaction without any periodicity assumption. For ~ fixed our discussion includes the Coulomb potential as a special case, and for the semiclassical situation...
متن کاملIterative solutions to the Dirac equation
We consider a single particle which is bound by a central potential and obeys the Dirac equation in d dimensions. We first apply the asymptotic iteration method to recover the known exact solutions for the pure Coulomb case. For a screened-Coulomb potential and for a Coulomb plus linear potential with linear scalar confinement, the method is used to obtain accurate approximate solutions for bot...
متن کاملNambu-Type Generalization of the Dirac Equation
Nonlinear generalization of the Dirac equation extending the standard paradigm of nonlinear Hamiltonians is discussed. “Faster-than-light telegraphs” are absent for all theories formulated within the new framework. A new metric for infinite dimensional Lie algebras associated with Lie-Poisson dynamics is introduced.
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: Communications in Theoretical Physics
سال: 2015
ISSN: 0253-6102
DOI: 10.1088/0253-6102/64/3/269