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Titlebook: Relativistic Quantum Mechanics and Introduction to Field Theory; Francisco J. Ynduráin Textbook 1996 Springer-Verlag Berlin Heidelberg 199

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书目名称Relativistic Quantum Mechanics and Introduction to Field Theory
编辑Francisco J. Ynduráin
视频video
丛书名称Theoretical and Mathematical Physics
图书封面Titlebook: Relativistic Quantum Mechanics and Introduction to Field Theory;  Francisco J. Ynduráin Textbook 1996 Springer-Verlag Berlin Heidelberg 199
描述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 f
出版日期Textbook 1996
关键词Cross Section; Potential; S-Matrix; Spin; quantum field theory; quantum mechanics; relativistic Quantum Me
版次1
doihttps://doi.org/10.1007/978-3-642-61057-8
isbn_softcover978-3-642-64674-4
isbn_ebook978-3-642-61057-8Series ISSN 1864-5879 Series E-ISSN 1864-5887
issn_series 1864-5879
copyrightSpringer-Verlag Berlin Heidelberg 1996
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Massive Particles with Spin 1. Massless Spin 1 Particle: Photon Wave Functions. Particles with High four-vector, .(.). This wave function has one component too many, so we will have to subject it to a supplementary condition. As we shall see in a moment, the one leading to correct interpretation is that of (four-) transversality, ∂ · .(.) = 0. .(.) will also have to verify the Klein—Gordon equation, so that we have, in natural units . = . = 1,
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Spin 1/2 Particles, is also positive definite, denoted by +(. + .).. Other square roots become possible if we give up positive definiteness. This may appear to spoil the theory by allowing negative energies; but, if the operator is Hermitean, states corresponding to negative energies will be orthogonal to positive-ene
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Massive Particles with Spin 1. Massless Spin 1 Particle: Photon Wave Functions. Particles with Highsformations a three-vector will develop a fourth component; therefore, to describe a relativistic particle with spin 1 (and mass . ≠ 0) we will need a four-vector, .(.). This wave function has one component too many, so we will have to subject it to a supplementary condition. As we shall see in a mo
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General Description of Relativistic States,ct. 8), there is little doubt that the wave function formalism for relativistic particles is not quite satisfactory. First of all, the meaning of the variables . and . in a wave function .(.,.) is unclear; as we will show, . does not represent the position for a Dirac particle, and in fact a positio
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Quantum Fields: Spin 0, 1/2, 1. Covariant Quantization of the Electromagnetic Field,t provide a consistent description of physical reality. There are a number of reasons for this. Some are empirical: in any process at high energy, particles are created; therefore a wave function formalism, where the number of particles stays constant in time, will not be appropriate. Moreover, even
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