Yisong Yang (Professor of Mathematics, Professor of Mathematics, Co

Mathematical Physics with Differential Equations

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Oxford University Press
• Seitenzahl: 496
• Erscheinungstermin: 27. Juli 2023
• Englisch
• Abmessung: 162mm x 241mm x 36mm
• Gewicht: 1120g
• ISBN-13: 9780192872616
• ISBN-10: 0192872613
• Artikelnr.: 65688984

Autorenporträt

Yisong Yang is a Professor of Mathematics, Courant Institute of Mathematical Sciences, New York University. He received his Ph.D. in Mathematics from the University of Massachusetts at Amherst in 1988.

Inhaltsangabe

Preface
Notation and Convention
1: Hamiltonian Systems and Applications
2: Schrödinger Equation and 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
Bibliography
Index