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 Title: "Simplest Molecule" clarifies modern physics II. Relativistic Quantum Mechanics Author(s): Harter, W.G. Contributor(s): Reimer, T.C. Subject(s): Cold/Ultra-cold/Physics Abstract: \begin{wrapfigure}{r}{0pt} \includegraphics[scale=0.55]{Physical_Terms_Alt12.eps} \end{wrapfigure} A “simplest molecule” consisting of CW-laser beam pairs helps to clarify relativity in Talk I. In spite of a seemingly massless evanescence, an optical pair also clarifies classical and quantum mechanics of relativistic matter and anti-matter. \\*Logical extension of \textit{(x,ct)} and \textit{($\omega$,ck)} geometry gives relativistic action functions of Hamiltonian, Lagrangian, and Poincare that may be constructed in a few ruler-and-compass steps to relate relativistic parameters for group or phase velocity, momentum, energy, rapidity, stellar aberration, Doppler shifts, and DeBroglie wavelength. This exposes hyperbolic and circular trigonometry as two sides of one coin connected by Legendre contact transforms. One is Hamiltonian-like with a longitudinal rapidity parameter $\rho$ (log of Doppler shift). The other is Lagrange-like with a transverse angle parameter $\sigma$ (stellar aberration). Optical geometry gives recoil in absorption, emission, and resonant Raman-Compton acceleration and distinguishes Einstein rest mass, Galilean momentum mass, and Newtonian effective mass. (Molecular photons appear less bullet-like and more rocket-like.) In conclusion, modern space-time physics appears as a simple result of the more self-evident Evenson's axiom: \textit{“All colors go c.”} Issue Date: 2014-06-19 Publisher: International Symposium on Molecular Spectroscopy Citation Info: Harter, W.G.; Reimer, T. "SIMPLEST MOLECULE" CLARIFIES MODERN PHYSICS II. RELATIVISTIC QUANTUM MECHANICS. Proceedings of the International Symposium on Molecular Spectroscopy, Urbana, IL, June 16-21, 2014. DOI: 10.15278/isms.2014.RH16 Genre: CONFERENCE PAPER/PRESENTATION Type: Text Language: English URI: http://hdl.handle.net/2142/51161 DOI: 10.15278/isms.2014.RH16 Rights Information: Copyright 2014 by the authors. Licensed under a Creative Commons Attribution 4.0 International License. http://creativecommons.org/licenses/by/4.0/ Date Available in IDEALS: 2014-09-172015-04-14
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