# Direct perturbation theory of relativistic effects for eplicity correlated wave functions: The He

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- Dirac Hamiltonian with Coulomb potential and spherically symmetric shell contact interactiona). Dittrich, J.; Exner, P.; Šeba, P. // Journal of Mathematical Physics;Jun92, Vol. 33 Issue 6, p2207
Spherically symmetric Hamiltonians describing a Dirac particle in Coulomb potential combined with contact interaction on a sphere (typically, a Î´-shell interaction) are constructed. The point spectrum is studied numerically for the case of scalar and vector Î´ shells. A comparison of two...

- An infinite-order two-component relativistic Hamiltonian by a simple one-step transformation. Iliaš, Miroslav; Saue, Trond // Journal of Chemical Physics;2/14/2007, Vol. 126 Issue 6, p064102
The authors report the implementation of a simple one-step method for obtaining an infinite-order two-component (IOTC) relativistic Hamiltonian using matrix algebra. They apply the IOTC Hamiltonian to calculations of excitation and ionization energies as well as electric and magnetic properties...

- Relativistic Paschen-Back Effect for the Two-Dimensional H-Like Atoms. Poszwa, A.; Rutkowski, A. // Acta Physica Polonica, A.;Mar2010, Vol. 117 Issue 3, p439
The classification of states based on good quantum numbers for the two-dimensional Coulomb problem is proposed. The first order magnetic energy corrections are calculated using exact field-free analytic solutions of the Dirac equation as a zero-order approximation.

- A nonperturbative light-front coupled-cluster method. Hiller, J. R. // AIP Conference Proceedings;Oct2012, Vol. 1492 Issue 1, p189
The nonperturbative Hamiltonian eigenvalue problem for bound states of a quantum field theory is formulated in terms of Dirac's light-front coordinates and then approximated by the exponential-operator technique of the many-body coupled-cluster method. This approximation eliminates any need for...

- Mixing of Meson, Hybrid, and Glueball States. Simonov, Yu. A. // Physics of Atomic Nuclei;Oct2001, Vol. 64 Issue 10, p1876
An effective QCD Hamiltonian is constructed with the aid of the background perturbation theory and relativistic Feynman-Schwinger path integrals for Green's functions. The resulting spectrum displays mass gaps of about 1 GeV when an additional valence gluon is added to the bound state. The...

- Effective Hamiltonian for near-degenerate states in relativistic direct perturbation theory.... Rutkowski, A.; Schwarz, W.H.E. // Journal of Chemical Physics;8/8/1998, Vol. 109 Issue 6, p2135
Illustrates an effective Hamiltonian approach to the Dirac equation. Application of Moller Bloch approach within the direct perturbation theory; Results of calculations for groups of excited potential curves of the one-electron hydrogen ion; Presentation of most efficient approach.

- Exact solution of the n-dimensional Diracâ€“Coulomb equation. Wong, M. K. F. // Journal of Mathematical Physics;Jul90, Vol. 31 Issue 7, p1677
An exact solution of the n-dimensional Diracâ€“Coulomb equation is obtained with the radial wave function containing only one term of a confluent hypergeometric function. It is of the same form as the solutions to the SchrÃ¶dinger and Kleinâ€“Gordon equations with a Coulomb potential...

- Renormalization of Coulomb interactions for the 1D Dirac equation. Brzezniak, Zdzisław; Jefferies, Brian // Journal of Mathematical Physics;Apr2003, Vol. 44 Issue 4, p1638
The Coulomb interaction 1x for the Dirac equation in one space dimension is singular in the sense that there exists a four-parameter family of self-adjoint extensions of the associated Hamiltonian operator. The purpose of this paper is to represent the dynamical group generated by some of the...

- Exact Solution of the Dirac Equation for a Singular Central Power Potential. Bose, Subir K.; Schulze-Halberg, Axel // Modern Physics Letters A;8/20/2000, Vol. 15 Issue 25, p1583
We compute an exact solution of the Dirac equation for a certain power law potential that consists of two parts: a scalar and a vector, where the latter contains a Coulomb term. We obtain energies that turn out to depend only on the strength of the Coulomb part of the potential, but not on the...