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Quantum mechanics with basic field theory /

Students and instructors alike will find this organized and detailed approach to quantum mechanics ideal for a two-semester graduate course on the subject. This textbook covers, step-by-step, important topics in quantum mechanics, from traditional subjects like bound states, perturbation theory and...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Desai, B. R. (Bipin R.)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2010.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Basic formalism
  • Fundamental commutator and time evolution of state vectors and operators
  • Dynamical equations
  • Free particles
  • Particles with spin 1/2
  • Gauge invariance, angular momentum, and spin
  • Stern-Gerlach experiments
  • Some exactly solvable bound-state problems
  • Harmonic oscillator
  • Coherent states
  • Two-dimensional isotropic harmonic oscillator
  • Landau levels and quantum Hall effect
  • Two-level problems
  • Spin 1/2 systems in the presence of magnetic fields
  • Oscillation and regeneration in neutrinos and neutral K-mesons as two-level systems
  • Time-independent perturbation for bound states
  • Time-dependent perturbation
  • Interaction of charged particles and radiation in perturbation theory
  • Scattering in one dimension
  • Scattering in three dimensions : a formal theory
  • Partial wave amplitudes and phase shifts
  • Analytic structure of the S-matrix
  • Poles of the Green's function and composite systems
  • Approximation methods for bound sates and scattering
  • Lagrangian method and Feynman path integrals
  • Rotations and angular momentum
  • Symmetry in quantum mechanics and symmetry groups
  • Addition of angular momenta
  • Irreducible tensors and Wigner-Eckart theorem
  • Entangled states
  • Special theory of relativity : Klein-Gordon and Maxwell's equations
  • Klein-Gordon and Maxwell's equations
  • Dirac equation
  • Dirac equation in the presence of spherically symmetric potentials
  • Dirac equation in a relativistically invariant form
  • Interaction of a Dirac particle with an electromagnetic field
  • Multiparticle systems and second quantization
  • Interactions of electrons and phonons in condensed matter
  • Superconductivity
  • Bose-Einstein condensation and superfluidity
  • Lagrangian formulation of classical fields
  • Spontaneous symmetry breaking
  • Basic quantum electrodynamics and Feynman diagrams
  • Radiative corrections
  • Anomalous magnetic moment and Lamb shift.