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General formulation of general-relativistic higher-order gauge-invariant perturbation theory
General formulation perturbation theory
2010/12/27
Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. After reviewing the general framework of the second-order gauge-invariant pe...
Spherically Symmetric Approximation (and beyond) in Relativistic Schroedinger Theory
Spherically Symmetric Approximation Relativistic Schroedinger Theory
2010/12/23
The energy eigenvalue problem of non-relativistic positronium is considered within the framework of Relativistic Schroedinger Theory (RST), and the results are compared to those of the conventional qu...
Relativistic Constraints for a Naturalistic Metaphysics of Time
Relativistic Constraints Naturalistic Metaphysics of Time
2010/11/16
The traditional metaphysical debate between static and dynamic views in the philosophy of time is examined in light of considerations concerning the nature of time in physical theory. Adapting the fo...
The Born Scattering Amplitude of a Non-relativistic Spin One-half particle in an Aharonov-Bohm Potentia
Born scattering Non-relativistic Spin Aharonov-Bohm Potentia
2010/4/12
The Born scattering amplitude of a non-relativistic spin one-half particle in an Aharonov-Bohm potential is calculated up to second order. It is demonstrated that perturbation theory works well for th...
Path Integral Treatment for Spinless Relativistic Equation in the Two Component Theory
Feshbach-Villars equation fermionic Schwinger isocharge symmetry
2010/4/15
In this paper we have set up a path integral formalism for Feshbach-Villars equation by using the fermionic Schwinger model for Pauli matrices which describe an isocharge symmetry. This choice is made...
Relativistic Electron in the Field of Two Coulomb Centers
Relativistic Electron Two Coulomb Centers
2010/4/19
Ground state wave function and the energy term of the relativistic electron moving in the field of two Coulomb centers are calculated analytically by the method of linear combination of atomic orbital...