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Relativistic Quantum Mechanics

Part of the Fundamental Theories of Physics Book Series (volume 180)

DOI: 10.1007/978-94-017-7261-7

ISBN: 978-94-017-7260-0

Publisher: Springer Netherlands - Springer Journals

Aug 5, 2015

1 - 10 of 11 Chapters

Available

Introduction and Some Problems Encountered in the Construction of a Relativistic Quantum Theory

Horwitz, Lawrence P.

Pages: 1 –7

[One of the deepest and most difficult problems of theoretical physics in the past century has been the construction of a simple, well-defined one-particle theory which unites the ideas of quantum mechanics and relativity. Early attempts, such as the construction of the Klein-Gordon equation and...
Available

Relativistic Classical and Quantum Mechanics

Horwitz, Lawrence P.

Pages: 9 –31

[To develop the foundations of a manifestly covariant mechanics, we must first examine the Einstein notion of time and its physical meaning. We will then be in a position to introduce the relativistic quantum theory developed by Stueckelberg (1941) and Horwitz and Piron (1973). We describe in...
Available

Spin, Statistics and Correlations

Horwitz, Lawrence P.

Pages: 33 –50

[We shall discuss in this chapter the basic idea of a relativistic particle with spinSpin, based on Wigner’s seminal work (Wigner 1939).The theory is adapted here to be applicable to relativistic quantum theory; in this form, Wigner’s theory, together with the requirements imposed by the observed...
Available

Gauge Fields and Flavor Oscillations

Horwitz, Lawrence P.

Pages: 51 –69

[In this chapter we discuss the general formulation of gauge fields in the quantum theory, both abelian and nonabelian. A generalization of the elementary Stueckelberg diagram (Fig. 2.1), demonstrating a “classical” picture of pair annihilation and creation, provides a similar picture of a...
Available

The Relativistic Action at a Distance Two Body Problem

Horwitz, Lawrence P.

Pages: 71 –96

[Models with action at a distance potentials, such as the Coulomb potential, have been very useful in nonrelativistic mechanics. They provide a simpler framework than the perhaps more fundamental field mediated models for interaction, and are also straightforwardly amenable to rigorous...
Available

Experimental Consequences of Coherence in Time

Horwitz, Lawrence P.

Pages: 97 –111

[In this chapter we shall discuss the notion of coherence in time, and, in particular, describe in some detail the experiment of Lindner et al. (2005) in which it was demonstrated that an electron wave packet undergoing a sequential ionizing perturbation in time (from Argon gas) undergoes...
Available

Scattering Theory and Resonances

Horwitz, Lawrence P.

Pages: 113 –142

[Relativistic scattering theory has been generally based on quantum field theory, providing methods of computing an S matrix (transition amplitude operator) by the semi-axiomatic approach of Lehmann et al. (1955) or through the use of interaction picture expansion of the perturbed field equations...
Available

Some Applications: The Electron Anomalous Moment, Invariant Berry Phases and the Spacetime Lattice

Horwitz, Lawrence P.

Pages: 143 –155

[In this chapter we describe three important applications of the theory. In the first section, we discuss the application of the Stueckelberg theory to the calculation of the anomalous moment of the electron (Bennett 2012). The original work of Schwinger (1951), and many later treatments...
Available

Hamiltonian Map to Conformal Modification of Spacetime Metric: Kaluza-Klein and TeVeS

Horwitz, Lawrence P.

Pages: 157 –172

[In this chapter, we discuss the cosmological problem of accounting for the radiation curves of galaxies. It has commonly been assumed that the disagreement of simulations using the Newtonian form for gravitational attraction (with forces proportional to \documentclass[12pt]{minimal}...
Available

Relativistic Classical and Quantum Statistical Mechanics and Covariant Boltzmann Equation

Horwitz, Lawrence P.

Pages: 173 –200

[In this chapter, we shall discuss the statistical mechanics of a many event system, for which the points in space time constitute the fundamental entities for which distribution functions must be constructed to achieve a manifestly covariant theory. Assuming that each event is part of an...

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