Mathematical Tools for Physics - Department of Physics - University

Index 434

natural boundary, 369
New York, 132
Newton, 388, 396
gravity 225–229, 236, 238
method 269
nilpotent, 170, 175
NIST, 7
Noether’s theorem, 398
noise, 286, 291
non-differentiable function, 276
norm, 129 –134, 138, 195
normal modes, 86, 130
nuclear fission, 404

• Oops, 414
  operator, 143, 146 –169
  components 147, 165
  differential 106, 152
  exponential 48, 208
  inverse 154
  rotation 143, 148, 154
  translation 175
  vector 225
  optical path, 327, 390
  optics, 390
  orange peel, 183
  orbital, 142
  order, 351
  orientation, 156
  orthogonal, 170, 338
  orthogonal coordinates, 189, 222, 312
  orthogonality, 102, 106, 195, 246, 261
  orthogonalization, 133
  orthonormal, 132
  oscillation, 68, 86, 87, 257
  coupled 85, 96, 129, 164
  damped 69
  forced 73
  temperature 246, 263


• 
  

  panjandrum, 409
  paraboloid, 196
  parallel axis theorem, 150
  parallelepiped, 172, 213, 323
  parallelogram, 155, 157, 172
  parallelogram identity, 138
  parameters, 39
  parametric differentiation, 4, 5, 20
  Parseval’s identity, 110, 114, 121, 373

  
  

∂i, 232, 239

partial integration, 14, 23, 106, 339, 386, 397,

412

∂S,∂V, 329

partition function, 199

Pascal’s triangle, 47

Pauli, 173

PDE, numerical, 287

Peano, 123

pendulum, 129

periodic, 54, 255

periodic boundary condition, 257, 370, 378

perpendicular axis theorem, 173

Perron-Frobenius, 170

pinking shears, 360

pitfall, 270

Plateau, 400

Poisson, 228, 422

polar coordinates, 14, 63, 181, 207, 350, 396

polarizability, 146

polarizability tensor, 295, 303

polarization, 146, 204, 303

pole, 350, 354, 364

order 351

polynomial, 123, 364

characteristic 175

Chebyshev 141

Hermite 138, 174, 290

Laguerre 291

Legendre 47, 89, 97, 138, 172, 208, 238,

240, 266, 276, 427

population density, 409

Postal Service, 131, 210

potential, 47, 227, 228, 229, 238, 254–259,

391, 423

potential energy density, 207

power, 242, 251

power mean, 50

power series, 348, 385

power spectrum, 114

Poynting vector, 306

pre-Snell law, 210

pressure tensor, 298

prestissimo, 373

principal components, 286, 293

principal value, 290

probability, 7

product formula, 349

product rule, 9

Pythagorean norm, 132

• quadratic equation, 49, 63