# A generalized time-dependent relativistic wave equation

**Tags:** WAVE equation; DIRAC equation

## Related Articles

- On the compatibility of relativistic wave equations in Riemannï¿½Cartan spaces. II. Buchdahl, H. A. // Journal of Mathematical Physics;Mar1990, Vol. 31 Issue 3, p712
In a Riemannï¿½Cartan space-time U4 the minimally coupled massive spin-S Dirac equations are subject to constraints for all S> 1/2 . One may seek to modify these equations by the inclusion of appropriate supplementary terms a, ï¿½ (indices suppressed) in such a way that the modified...

- Dirac Equation in Curved Spacetime with the Metric in the Kerrï¿½Schield Form. Tsvetkov, V. P. // Physics of Atomic Nuclei;Apr2000, Vol. 63 Issue 4, p700
The solution of the Dirac equation in the wave package form in a slightly curved spacetime (compared with the size of the wave package) was studied. For the metric in the Kerr-Schield form, a system of common differential equations describing spin conditions of massive neutral Dirac particles...

- Extension of two-body Dirac equations to general covariant interactions through a hyperbolic transformation. Crater, H. W.; Van Alstine, P. // Journal of Mathematical Physics;Aug90, Vol. 31 Issue 8, p1998
In previous work, Diracï¿½s constraint mechanics and supersymmetry were used to construct two-body Dirac equations for particles interacting through world scalar and vector potentials. The resulting compatible 16-component wave equations, S1?=?51(?1ï¿½(p1-A1) +m1+S1)?=0,...

- Noncommutative Integration of the Dirac Equation in a Flat Space and in the de Sitter Space. Tyumentsev, V. A.; Klishevich, V. V. // Russian Physics Journal;Sep2003, Vol. 46 Issue 9, p891
Noncommutative integration of the Dirac massive and massless equations is performed in a four-dimensional flat space and in the de Sitter space of arbitrary signature. A new class of rigorous solutions of the Dirac equation is constructed in these spaces. The properties of the solutions obtained...

- The quantum mechanical two-Coulomb-centre problem in the Dirac equation framework in 2+1 dimensions. Bondarchuk, V. V.; Shvab, I. M. // European Physical Journal D -- Atoms, Molecules, Clusters & Opti;Jun2007, Vol. 42 Issue 3, p381
With the help of perturbation theory the asymptotic expansions (at small and large internuclear distances R) of the eigenvalues (potential curves) E(R) of the two-Coulomb-centre problem in 2+1 dimensions are obtained. We compare the results obtained with the data from similar approximation for...

- Quantum states of the neutrino in a nonuniformly moving medium. Grigoriev, A.; Savochkin, A.; Studenikin, A. // Russian Physics Journal;Aug2007, Vol. 50 Issue 8, p845
The modified Dirac equation for the neutrino in a material medium and its solution for a nonuniform motion of the medium with a velocity gradient along a certain direction are examined in the present paper. This formulation of the problem is analogous to the problem of electron motion in a...

- ON THE DIRAC EQUATION IN CURVED SPACE-TIME. POLLOCK, M. D. // Acta Physica Polonica B;Aug2010, Vol. 41 Issue 8, p1827
We discuss in detail the general-relativistically covariant Dirac equation derived by Fock for a particle of rest mass m and charge e in an electromagnetic potential Ai, [i?k(?k - Gk - ieAk) m]? = 0. The spinorial affine connection is given in terms of the spin connection ?abi and spin operator...

- Planar Dirac diffusion. De Leo, Stefano; Rotelli, Pietro // European Physical Journal C -- Particles & Fields;Sep2009, Vol. 63 Issue 1, p157
We present the results of the planar diffusion of a Dirac particle by step and barrier potentials, when the incoming wave impinges at an arbitrary angle with the potential. Except for right-angle incidence this process is characterized by the appearance of spin flip terms. For the step...

- Plasma excitations of dressed Dirac electrons in graphene layers. Roslyak, Oleksiy; Gumbs, Godfrey; Huang, Danhong // Journal of Applied Physics;
Collective plasma excitations of optically dressed Dirac electrons in single and double graphene layers are calculated in the RPA. The presence of circularly polarized light gives rise to an energy gap Eg between the conduction and valence energy bands. Its value may be adjusted by varying the...