358
Index
Inertial system, 13, 18, 20–21, 41, 70, 92–93,
104, 107
Inertia of energy, 16, 154, 195, Chap.23
Inertia with respect to the lattice, v, 71, 73,
233
Infeld, 109
Infinitely extended crystal, 67, 109, 148
Infinite space lattice, 57, 109
Initial condition, 102–103, 117–120, 156,
184–187, 190, 233, 271
− configuration, 270, 275
− value problem, 328
’ink’, 276
Interaction forces, 21, 49
Internal geometry, 84–85, 87
Internal motion of dislocations, 66
Internal observer, 77, 105, 109, 113,
128, 142–144, 146–151, 167, 179,
193–194, 206–212, 220, 224, 226,
229–231
Internal standards, 230
Interstitial atoms, 62
Invariance of line element, 156
Inversion, see space inversion
Isaak, 6
Isotropic continuum, 111
Isotropy, 112–113, 127, 160, 255
Ivanenko, 241–242, 288
Ives, vii, 15, 212
J
Joule, 17, 343
K
Kelvin, 82
Khan, 6
Kinetic energy, 23
Kinetic energy of a dislocation, 79
Kink, 51, 83, 85, 92, 96, 141ff., 223–224,
226, 231–235, 247, 253, 286, 291,
297, 299–300, 304–305, 314, 316,
320
− energy, 194
− mass, 253
− pair, 297
− solution, 82, 84
Kittel, 59, 280
Klein-Gordon equation, 69
Kontorova, 67, 69
Kronecker symbol, 272, 346
Kröner , 62, 64–66, 68–70, 109, 233,
277–280, 282–283, 285
L
Lagrangian mechanics, 78
Landau, 261, 270, 272, 274
Laplace, − operator, 234, 273, 347
Laplacian demon, 234
Lattice, vff., 49ff., Chap.6
v. Laue, -diagram, 57, 59
Leibbrandt, 162
Length contraction, cf. also Lorentz, vii,
14–15, 143, 151, 160, 164, 193, 235
Length of a moving rod, 98, 114, 146, 164
Levi- Civita symbol, 276, 282, 346
Liebscher, viii, 2, 6, 154, 157, 159, 193,
218, 236, 309
Lifschitz, 261, 270, 272, 274
Linear Approximation of Special Relativity,
137ff.
Linear chain, 28–30, 32–34, 36, 45, 49, 70,
71, 111, 198, 234, 243, 261
− dislocation chain, 73
Linear elasticity, 35, 51
Linearised theory of elasticity, 51, 54
Linear theory of elasticity, 73, 92, 195
Line energy, 62, 253
Line tension, 44, 52, 54, 73, 79, 243, 253
Localised breather, − − solution, 85, 103
Longitudinal displacement, 52
Longitudinal Dopller effect, see Dopller
effect
Longitudinal oscillations, 49
Longitudinal sound velocity, 52
Longitudinal wave, 52, 58, 111, 273–274,
288, 292
Lorentz, vi, 1, 13, 104, 129, 155, 159–160,
162, 165, 259, 291
− contraction, vii, 14, 56, 95–97, 101,
104, 124, 129, 133, 137, 139, 145–148,
150, 154, 160, 162–165, 174, 185, 190,
215, 226
Relativity of −−, 148
− factor, 101, 144, 146, 151, 173,
292, 302, 306
− force, 296
− invariant, 142, 144, 162, 324
− symmetry, 2–3, 56, 144, 230,
296–297
− tensor, 296
terminology of −−, 56, 134
− transformation, 3, 21, 45, 56,
133–134, 138–139, 141–142, 154, 157,
162, 193, 218, 226, 251, 321, 330–331
Index
Inertial system, 13, 18, 20–21, 41, 70, 92–93,
104, 107
Inertia of energy, 16, 154, 195, Chap.23
Inertia with respect to the lattice, v, 71, 73,
233
Infeld, 109
Infinitely extended crystal, 67, 109, 148
Infinite space lattice, 57, 109
Initial condition, 102–103, 117–120, 156,
184–187, 190, 233, 271
− configuration, 270, 275
− value problem, 328
’ink’, 276
Interaction forces, 21, 49
Internal geometry, 84–85, 87
Internal motion of dislocations, 66
Internal observer, 77, 105, 109, 113,
128, 142–144, 146–151, 167, 179,
193–194, 206–212, 220, 224, 226,
229–231
Internal standards, 230
Interstitial atoms, 62
Invariance of line element, 156
Inversion, see space inversion
Isaak, 6
Isotropic continuum, 111
Isotropy, 112–113, 127, 160, 255
Ivanenko, 241–242, 288
Ives, vii, 15, 212
J
Joule, 17, 343
K
Kelvin, 82
Khan, 6
Kinetic energy, 23
Kinetic energy of a dislocation, 79
Kink, 51, 83, 85, 92, 96, 141ff., 223–224,
226, 231–235, 247, 253, 286, 291,
297, 299–300, 304–305, 314, 316,
320
− energy, 194
− mass, 253
− pair, 297
− solution, 82, 84
Kittel, 59, 280
Klein-Gordon equation, 69
Kontorova, 67, 69
Kronecker symbol, 272, 346
Kröner , 62, 64–66, 68–70, 109, 233,
277–280, 282–283, 285
L
Lagrangian mechanics, 78
Landau, 261, 270, 272, 274
Laplace, − operator, 234, 273, 347
Laplacian demon, 234
Lattice, vff., 49ff., Chap.6
v. Laue, -diagram, 57, 59
Leibbrandt, 162
Length contraction, cf. also Lorentz, vii,
14–15, 143, 151, 160, 164, 193, 235
Length of a moving rod, 98, 114, 146, 164
Levi- Civita symbol, 276, 282, 346
Liebscher, viii, 2, 6, 154, 157, 159, 193,
218, 236, 309
Lifschitz, 261, 270, 272, 274
Linear Approximation of Special Relativity,
137ff.
Linear chain, 28–30, 32–34, 36, 45, 49, 70,
71, 111, 198, 234, 243, 261
− dislocation chain, 73
Linear elasticity, 35, 51
Linearised theory of elasticity, 51, 54
Linear theory of elasticity, 73, 92, 195
Line energy, 62, 253
Line tension, 44, 52, 54, 73, 79, 243, 253
Localised breather, − − solution, 85, 103
Longitudinal displacement, 52
Longitudinal Dopller effect, see Dopller
effect
Longitudinal oscillations, 49
Longitudinal sound velocity, 52
Longitudinal wave, 52, 58, 111, 273–274,
288, 292
Lorentz, vi, 1, 13, 104, 129, 155, 159–160,
162, 165, 259, 291
− contraction, vii, 14, 56, 95–97, 101,
104, 124, 129, 133, 137, 139, 145–148,
150, 154, 160, 162–165, 174, 185, 190,
215, 226
Relativity of −−, 148
− factor, 101, 144, 146, 151, 173,
292, 302, 306
− force, 296
− invariant, 142, 144, 162, 324
− symmetry, 2–3, 56, 144, 230,
296–297
− tensor, 296
terminology of −−, 56, 134
− transformation, 3, 21, 45, 56,
133–134, 138–139, 141–142, 154, 157,
162, 193, 218, 226, 251, 321, 330–331