Index

Where the discussion of a topic runs over two consecutive pages, reference is made
only to the first of these. For discussions spread over three or more pages the first and
last page numbers are given; these references are usually to the major treatment of the
corresponding topic. Isolated refences to a topic, including those appearing on consecutive
pages, are listed individually. Some long topics are split, e.g. ‘Fourier transforms’ and
‘Fourier transforms, examples’. The letter ‘n’ after a page number indicates that the topic
is discussed in a footnote on the relevant page.

A, B, one-dimensional irreps, 1090, 1102, 1109
Abelian groups, 1044
absolute convergence of series, 124, 831
absolute derivative, 975–977
acceleration vector, 335
Adams method, 1024
Adams–Moulton–Bashforth, predictor-corrector
scheme, 1035
addition rule for probabilities, 1125, 1130
addition theorem for spherical harmonics
Ym(θ, φ), 594
adjoint,seeHermitian conjugate
adjoint operators, 559–564
adjustment of parameters, 795
Airy integrals, 890–894
Ai(z), 889
algebra of
complex numbers, 85
functions in a vector space, 556
matrices, 251
power series, 134
series, 131
tensors, 938–941
vectors, 213
in a vector space, 242
in component form, 218
algebraic equations, numerical methods for,see
numerical methods for algebraic equations
alternating group, 1116
alternating series test, 130
ammonia molecule, symmetries of, 1042

Amp`ere’s rule (law), 381, 408

amplitude modulation of radio waves, 444

amplitude-phase diagram, 914

analytic (regular) functions, 826

angle between two vectors, 221

angular frequency, 693n

in Fourier series, 419

angular momentum, 933, 949

and irreps, 1093

of particle system, 950–952

of particles, 338

of solid body, 396, 951

vector representation, 238

angular momentum operator

component, 658

total, 659

angular velocity, vector representation, 223, 238,

353

annihilation and creation operators, 667

anti-Hermitian matrices, 271

eigenvalues, 276–278

imaginary nature, 277

eigenvectors, 276–278

orthogonality, 277

anti-Stokes line, 905

anticommutativity of vector or cross product,

222

antisymmetric functions, 416

and Fourier series, 419

and Fourier transforms, 445

antisymmetric matrices, 270