Tensors for Physics

Index

Symbols
-tensor, 186 , 193
Δ-tensors, 184
Δ()-tensors, 184
4-acceleration, 375
4-momentum, 375
4-velocity, 374
4-wave vector, 376
4D-epsilon tensor, 378

A
Actio equal reactio, 81
Active rotation of a tensor, 259
Affine transformation, 17 , 335
Aligning, 362
Alignment tensor, 95 , 203
Alignment tensor elasticity, 288
Angular momentum, 43
Angular momentum balance, 151
Angular momentum commutation relations,
107
Angular momentum conservation, 320
Angular velocity, 51 , 89
Anisotropic fluids, 274
Anisotropic part, 57
Antisymmetric part, 33 , 40
Antisymmetric part of the pressure tensor,
344
Antisymmetric pressure, 320
Antisymmetric tensor, 50
Antisymmetric traceless part, 34
Ascending multipole potentials, 163
Auto-correlation functions, 352
Axes ratio, 336
Azimuthal component, 30

B

Banana phases, 276 , 294

Barnett effect, 321

Basis tensors, 358

Bend deformations, 285

Bessel functions, 233

Biaxial distortions, 361

Biaxial extensional or compressional flow,

331

Biaxial nematics, 274

Biaxial tensor, 58

Biaxiality parameter, 70 , 359

Bilinear form, 65

Biot-Savart relation, 103

Birefringence, 63 , 204 , 253

Blue phase liquid crystals, 290

Blue phases, 275

Boltzmann equation, 318 , 327

Bond orientational order, 291

Born-Green expression, 310

Boundary conditions, 177 , 368

Brillouin scattering, 353

Brownian particles, 217

Bulk modulus, 306

Bulk viscosity, 333

C

Cartesian components, 11

Cartesian coordinate system, 11

Cartesian tensors of rank, 23

Cauchy relation, 312

Center of mass, 132

Central force, 44 , 83

Chaotic, 363

Charge density, 173 , 381

Cholesteric, 274

© Springer International Publishing Switzerland 2015
S. Hess,Tensors for Physics, Undergraduate Lecture Notes in Physics,
DOI 10.1007/978-3-319-12787-3

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