Principles of discrete time mechanics [E-Book] / George Jaroszkiewicz, University of Nottingham.
Jaroszkiewicz, George, (author)
Cambridge : Cambridge University Press, 2014
1 online resource (xiv, 365 pages)
englisch
9781107034297
9781139525381
Cambridge monographs on mathematical physics
Full Text
Table of Contents:
  • The physics of discreteness
  • The road to calculus
  • Temporal discretization
  • Discrete time dynamics architecture
  • Some models
  • Classical cellular automata
  • The action sum
  • Worked examples
  • Lee's approach to discrete time mechanics
  • Elliptic billiards
  • The construction of system functions
  • The classical discrete time oscillator
  • Type 2 temporal discretization
  • Discrete time quantum mechanics
  • The quantized discrete time oscillator
  • Path integrals
  • Quantum encoding
  • Discrete time classical field equations
  • The discrete time Schrodinger equation
  • The discrete time Klein-Gordon equation
  • The discrete time Dirac equation
  • Discrete time Maxwell's equations
  • The discrete time Skyrme model
  • Discrete time quantum field theory
  • Interacting discrete time scalar fields
  • Space, time and gravitation
  • Causality and observation
  • Concluding remarks.