Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • 6 - Quantization

  • from PART I - Basics
  • Michel Talagrand
  • Book:
    What Is a Quantum Field Theory?
    Published online:
    22 February 2022
    Print publication:
    17 March 2022, pp 145-175

  • Summary

    We provide the briefest introduction to Lagrangian and Hamiltonian Mechanics, and we explore several routes by which the physicists argue that the massive scalar field is a quantization of a natural classical field, the Klein-Gordon field.

  • 8 - Approaches to Mechanics and Dynamics

  • from Case Study III - Mechanics and Dynamics: Linear and Non-linear
  • Malcolm S. Longair, University of Cambridge
  • Book:
    Theoretical Concepts in Physics
    Published online:
    27 March 2020
    Print publication:
    16 April 2020, pp 146-171

  • Summary

    Newton's laws of motion can be recast into more powerful and general mathematical formalisms. These enable Newton's laws to be applied in the most appropriate coordinate system for the problem at hand. The Euler–Lagrange equations are introduced and used to show how the invariance of the equations under translations and rotations results in the laws of conservation of momentum and angular momentum. Time invariance results in the law of conservation of energy. An important application of the Euler–Lagrange equations is the characterisation the normal modes of oscillation of mechanical systems. Hamilton’s equations, Poisson brackets, the Hamilton–Jacobi equations and action-angle variables are introduced in order to solve increasingly complex problems, including the mathematics necessary for the description of quantum phenomena.