What's the best book/website on the Dirac equation?

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    Dirac Dirac equation
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Discussion Overview

The discussion centers around recommendations for books and articles related to the Dirac equation, including its derivation and its relationship to other quantum mechanical equations such as the Schrödinger equation. Participants explore various resources that cover theoretical aspects and implications of the Dirac equation.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant inquires whether Feynman wrote about the Dirac equation and expresses interest in its derivation and its reduction to the Schrödinger equation.
  • Another participant suggests that most upper-level quantum mechanics textbooks, such as Merzbacher's and G. Baym's, cover the derivation and implications of the Dirac equation, highlighting comparisons to non-relativistic equations.
  • A participant mentions an article by Hestenes that discusses the relationship between the Dirac, Pauli, and Schrödinger equations, noting inconsistencies in conventional interpretations and emphasizing the implications of spin on the interpretation of the Schrödinger theory.
  • One participant recommends Thaller's book "The Dirac Equation," published in 1991, as a valuable resource.

Areas of Agreement / Disagreement

Participants present various viewpoints and resources without reaching a consensus on a single best book or article. Multiple competing views and recommendations remain in the discussion.

Contextual Notes

Some participants express critiques of the reliance on electromagnetic interactions in certain interpretations, indicating that there may be differing perspectives on the foundational aspects of quantum theory.

Who May Find This Useful

Readers interested in quantum mechanics, particularly those studying the Dirac equation and its implications in theoretical physics, may find this discussion useful.

jrrship
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Did Feynman write about the Dirac Equation?

I would like to see how to derive it, and how it reduces to the Schrodenger equation.
 
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I think every upper level QM book covers the derivation and implications. Merzbacher, Quantum Mechanics, has a lengthy comparison of the Dirac eqn. and Hamiltonian to its non-relativistic cousins. G. Baym, Lectures on Quantum Mechanics, has a very nice description also.
 
My favorite article on the relation between the Schroedinger, Pauli and Dirac equations is that of Hestenes:

Consistency in the Formulation of the Dirac, Pauli and Schroedinger Theories
David Hestenes, J. Math. Phys., 16, 573-584 (1975)
Abstract. Properties of observables in the Pauli and Schroedinger theories and first order relativistic approximations to them are derived from the Dirac theory. They are found to be inconsistent with customary interpretations in many respects. For example, failure to identify the "Darwin term" as the s-state spin-orbit energy in conventional treatments of the hydrogen atom is traced to a failure to distinguish between charge and momentum flow in the theory. Consistency with the Dirac theory is shown to imply that the Schroedinger equation describes not a spinless particle as universally assumed, but a particle in a spin eigenstate. The bearing of spin on the interpretation of the Schroedinger theory discussed. Conservation laws of the Dirac theory are formulated in terms of relative variables, and used to derive virial theorems and the corresponding conservation laws in the Pauli-Schroedinger theory.
http://modelingnts.la.asu.edu/pdf/Consistency.pdf

My only critique of the above is that from a particle physics point of view, Hestenes puts too much reliance on the details of E&M interactions that are not any more fundamental to the quantum theory than any other interaction.
 
Last edited by a moderator:
I'd suggest Thaller's book "The Dirac Equation" which printed in 1991 by Springer.

Daniel.
 

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