Results 1-3 of 56
They must therefore be relations among Lorentz scalars, 4-vectors, 4-tensors, etc.
defined by their transformation properties under the Lorentz group in ways
analogous to the familiar specification of tensors of a given rank under three-
dimensional rotations. We are thus led to consider briefly the mathematical
structure of a space-time whose norm is defined by (11.59). We begin by
summarizing the elements of tensor analysis in a non-Euclidean vector space.
The space-time ...
A contravariant tensor of rank two F°s consists of 16 quantities that transform
according to ? y A convariant tensor of rank two Gff transforms as , , G'«^lt>G* (
1L64) and the mixed second rank tensor Hp° transforms as ^ H'V^H', * (11.65)
The generalization to contravariant, covariant, or mixed tensors of arbitrary rank
should be obvious from these examples. The inner or scalar product of two
vectors is defined as the product of the components of a covariant and a
contravariant vector, B A ...
(c) For macroscopic media, E, B form the field tensor F"" and D, H the tensor G"8.
What further invariants can be formed? What are their explicit expressions in
terms of the 3-vector fields? 11.13 In a certain reference frame a static, uniform,
electric field Eo is parallel to the x axis, and a static, uniform, magnetic induction
B„ = 2E„ lies in the x-y plane, making an angle 6 with the x axis. Determine the
relative velocity of a reference frame in which the electric and magnetic fields are
What people are saying - Write a review
LibraryThing ReviewUser Review - barriboy - LibraryThing
A soul crushing technical manual written by a sadist that has served as the right of passage for physics PhDs since the dawn of time. Every single one of my professors studied this book, and every ... Read full review
Text is quite readable and appropriate for a first-year graduate text in physics. A "bible" I return to again and again.
Thinking back, I recall struggling over some sections for which I was not adequately prepared, including time-dependent EM fields. That aside, this was the text for my most favorite class in grad school.
If you are a fan of transformational solutions to differential equations then this is the text for you. Here is where I really learned about Fourier and other special function transformations as well as solving diffeq problems in special coordinate systems. I did very well in quantum mechanics thanks to this text.
I fear that students today may not have the same preparation that was common 30 years ago. Back then, expectations were different. In particular, this text is hardly aware of computational problem solving. It is focused on analytics.
Introduction and Survey
Introduction to Electrostatics
18 other sections not shown