Mathematical physics with differential equations / Yisong Yang.

Format:

Book

Author/Creator:

Yang, Yisong, author.

Series:

Oxford scholarship online.

Oxford scholarship online

Language:

English

Subjects (All):

Mathematical physics.

Differential equations.

Physical Description:

1 online resource (593 pages)

Place of Publication:

Oxford University Press 2023

Summary:

This textbook uses insight from differential equations to analyse fundamental subjects of modern theoretical physics, including classical and quantum mechanics, thermodynamics, electromagnetism, superconductivity, gravitational physics, and quantum field theories.

Contents:

Titlepage Notation and Convention 1 Hamiltonian systems and applications 2 Schrödinger equationand quantum mechanics 3 Maxwell equations, Dirac monopole, and gauge fields 4 Special relativity 5 Abelian gauge field equations 6 Dirac equations 7 Ginzburg-Landau equations for superconductivity 8 Magnetic vortices in Abelian Higgs theory 9 Non-Abelian gauge field equations 10 Einstein equations and related topics 11 Charged vortices and Chern-Simons equations 12 Skyrme model and related topics 13 Strings and branes 14 Born-Infeld theory of electromagnetism 15 Canonical quantization of fields Appendices

Notes:

Also issued in print: 2023.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (viewed on August 31, 2023).

ISBN:

0-19-196855-2

0-19-287263-X