Mathematical Tools for Physics

Index 475

optical path, 399
order, 423
orientation, 186
orthogonal coordinates, 220, 260, 381
orthogonality, 120, 124, 228, 288
orthogonalization, 156
orthonormal, 154 , 155
oscillation, 85, 104, 106, 304
coupled 103, 114, 151, 191
damped 86
forced 90
temperature 288, 309
.
parallel axis theorem, 179
parallelepiped, 201, 249, 393
parallelogram, 184, 201
parameters, 50
parametric differentiation, 5, 7
Parseval’s identity, 127, 132, 140, 456
∂i, 271, 280
partial integration, 19, 25, 29, 123
∂S,∂V, 402
partition function, 232
Pascal’s triangle, 60
Pauli, 203
PDE, numerical, 344
Peano, 142
pendulum, 150
periodic, 68, 301
periodic boundary condition, 305, 451, 462
perpendicular axis theorem, 203
pinking shears, 437
pitfall, 319
Poisson, 268

polar coordinates, 20, 79, 213, 243, 382, 383,

422

polarizability, 172

polarization, 172, 239

polarization identity, 162

pole, 423 , 428, 442

order 423, 424

polynomial, 442

Postal Service, 153, 246

potential, 59, 268, 270, 279, 300–307

potential energy density, 242

power, 283, 296

power series, 420

power spectrum, 133

pre-Snell law, 246

pressure tensor, 359

prestissimo, 456

principal components, 341, 353

principal value, 348

probability, 10

product formula, 420

.

quadratic equation, 63, 79

quadrupole, 60, 225, 243, 244, 281

quasi-equilibrium, 91

.

radian, 1

radioactivity, 113

rainbow, 236–239, 246

raising and lowering, 378

random variable, 342

range, 172, 355

ratio test, 34

rational number, 158