
Recent Posts
Recent Comments
 Determinants II: Determinants of Order $n$  MathPhys Archive on Determinants I: Determinants of Order 2
 Inverses  MathPhys Archive on The Matrix Associated with a Linear Map
 The Matrix Associated with a Linear Map  MathPhys Archive on Linear Maps
 Introduction to Topology 3: Limit Points, Boundary Points, and Sequential Limits  MathPhys Archive on Introduction to Topology 1: Open and Closed Sets
 Parallel Transport, Holonomy, and Curvature  MathPhys Archive on Line Bundles
Archives
Categories
 Algebraic Topology
 Calculus
 Classical Differential Geometry
 College Algebra
 Differential Equations
 Differential Geometry
 Electromagnetism
 Engineering Mathematics
 Functions of a Complex Variable
 General Topology
 Homology
 Lie Groups and Lie Algebras
 Linear Algebra
 Mathematical Physics
 Partial Differential Equations
 Precalculus
 Quantum Mechanics
 Representation Theory
 Sage
 Trigonometry
 Uncategorized
Meta
Category Archives: Electromagnetism
Electrostatic Potential in a Hollow Cylinder
An electrostatic field $E$ (i.e. an electric field produced only by a static charge) is a conservative field, i.e. there exists a scalar potential $\psi$ such that $E=\nabla\psi$. This is clear from Maxwell’s equations. Since there is no change of … Continue reading
Posted in Electromagnetism, Mathematical Physics
Leave a comment
Cylindrical Resonant Cavity
In this lecture, we discuss cylindrical resonant cavity as an example of the applications of Bessel functions. Recall that electromagnetic waves in vacuum space can be described by the following four equations, called Maxwell’s equations (in vacuum) \begin{align*} \nabla\cdot B=0,\\ … Continue reading
Posted in Electromagnetism, Mathematical Physics
1 Comment