Physical Mathematics

Wave Particle Duality is the concept that every elementary particle entity exhibits the properties of not only particles, but also waves. It addresses the inability of the classical concepts "particle" or "wave" to fully describe the behaviour of Quantum-scale objects. The WKB approximation is a method for finding approximate solutions to linear differential equations with spatially varying coefficients. It is typically used for a semi classical calculation in Quantum mechanics. Wightman axioms are an attempt at a mathematically rigorous formulation of Quantum field theory.

  • Postulates of Quantum Mechanics
  • BRST Quantization
  • Monte Carlo Techniques
  • Monte Carlo Radiation Transport
  • Particle -In-Cell Technique
  • Perturbation Theory
  • Schrödinger Equations
  • Complete Set of Commuting Observables
  • Feynman Diagrams
  • Wavefunctions
  • Wave–Particle Duality
  • Wightman Axioms
  • Hilbert Space
  • Numerical Methods for Scientific Computing
  • WKB Approximation
  • Statistical Ensemble
  • Flat Space Cosmology
  • Iterative Matrix Inversion Methods
  • Pictures of Dynamics
  • KK-Theory
  • Particle Orbit And Particle Conservation Problems
  • Mathematics of Classical Quantum Physics
  • Neutron Transport
  • Boltzmanns Equation

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