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Theoretical and Mathematical Physics

Relativistic Quantum Mechanics and Introduction to Field Theory

Authors: Yndurain, Francisco J.

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eBook $64.99
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  • ISBN 978-3-642-61057-8
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Softcover $84.99
price for USA in USD
  • ISBN 978-3-642-64674-4
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About this Textbook

A fully relativistic treatment of the quantum mechanics of particles requires the introduction of quantum field theory, that is to say, the quantum mechan­ ics of systems with an infinite number of degrees of freedom. This is because the relativistic equivalence of mass and energy plus the quantum possibility of fluctuations imply the existence of (real or virtual) creation and annihilation of particles in unlimited numbers. In spite of this, there exist processes, and energy ranges, where a treat­ ment in terms of ordinary quantum mechanical tools is appropriate, and the approximation of neglecting the full field-theoretic description is justified. Thus, one may use concepts such as potentials, and wave equations, clas­ sical fields and classical currents, etc. The present text is devoted precisely to the systematic discussion of these topics, to which we have added a gen­ eral description of one- and two-particle relativistic states, in particular for scattering processes. A field-theoretic approach may not be entirely avoided, and in fact an introduction to quantum field theory is presented in this text. However, field theory is not the object per se of this book; apart from a few examples, field theory is mainly employed to establish the connection with equivalent potentials, to study the classical limit of the emission of radiation or to discuss the propagation of a fermion in classical electromagnetic fields.

Table of contents (12 chapters)

Table of contents (12 chapters)
  • Relativistic Transformations. The Lorentz Group

    Pages 1-22

    Ynduráin, Professor Francisco J.

  • The Klein-Gordon Equation. Relativistic Equation for Spinless Particles

    Pages 23-34

    Ynduráin, Professor Francisco J.

  • Spin 1/2 Particles

    Pages 35-66

    Ynduráin, Professor Francisco J.

  • Dirac Particle in a Potential

    Pages 67-88

    Ynduráin, Professor Francisco J.

  • Massive Particles with Spin 1. Massless Spin 1 Particle: Photon Wave Functions. Particles with Higher Spins (3/2, 2, …)

    Pages 89-107

    Ynduráin, Professor Francisco J.

Buy this book

eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-642-61057-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $84.99
price for USA in USD
  • ISBN 978-3-642-64674-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Relativistic Quantum Mechanics and Introduction to Field Theory
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
1996
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-61057-8
DOI
10.1007/978-3-642-61057-8
Softcover ISBN
978-3-642-64674-4
Series ISSN
1864-5879
Edition Number
1
Number of Pages
XII, 332
Additional Information
Original Spanish edition published by Alianza editorial s/a Madrid 1990
Topics