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An Introductory Path to Quantum Theory: Using Mathematics to Understand the Ideas of Physics by Stephen Bruce Sontz

An Introductory Path to Quantum Theory: Using Mathematics to Understand the Ideas of Physics

by Stephen Bruce Sontz
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Book cover type: Paperback
  • ISBN13: 9783030407698
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 286
  • Original Price: EUR 54.99
  • Language: English
  • Edition: 2020
  • Item Weight: 440 grams
  • BISAC Subject(s): Physics / Mathematical & Computational and Physics / Quantum Theory

Introduction to this Path.- Viewpoint.- Neither Particle nor Wave.- Schr�dinger's Equation.- Operators and Canonical Quantization.- The Harmonic Oscillator.- Interpreting: Mathematics.- Interpreting: Physics.- The Language of Hilbert Space.- Interpreting: Measurement.- The Hydrogen Atom.- Angular Momentum.- The Rotation Group SO(3).- Spin and SU(2).- Bosons and Fermions.- Classical and Quantum Probability.- The Heisenberg Picture.- Uncertainty (Optional).- Speaking of Quantum Theory (Optional).- Complementarity (Optional).- Axioms (Optional).- And Gravity?.- Measure Theory: A Crash Course.

Stephen Bruce Sontz received a Ph.D. from the University of Virginia with a dissertation in mathematical physics. He has published around 25 research articles in that field as well as two textbooks with Springer. These are "Quantum Principal Bundles, The Classical Case" and "Quantum Principal Bundles, The Quantum Case". He is a research professor at the Centro de Investigación en Matemáticas, A.C. (CIMAT) in Guanajuato, Mexico. He also teaches undergraduate courses in the Mathematics Department of the University of Guanajuato, where he has given courses using the material in this book.

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