Mathematical Principles of Theoretical Physics

(Rick Simeone) #1

INDEX 501


Leray decomposition, 136
Levi-Civita connection, 62 , 147 , 396
Lie group, 270
irreducible representation, 270
lifetime, 257
linear elliptic equation, 133
linear hyperbolic equation, 134
Lipschitz space, 125
Lorentz force, 207
Lorentz invariance, 44 , 46
Lorentz invariants, 51
Lorentz tensor, 47 , 50
Lorentz transformation, 46
Lorentz transformation group, 49


M


magnetic field, 54
magnetic potential, 207
main driving force, 414
pressure gradient, 415
relativistic effect, 415
stellar dynamics, 414
thermal expansion force, 415
viscous friction, 415
main-sequence stars, 413 , 420
manifold with boundary, 143
mass, 257
mass charge, 180
mass generation, 196 , 295
mass of earth’s black hole core, 442
mass of solar black hole core, 441
massive bound state, 362
massless bound state, 364
Maxwell equations, 214
modified, 214
Maxwell equations for electromagnetic
fields, 54


7.2.6 Mechanism of supernova explosion


mediator,254,255
energy spectrum, 371
weakton constituents, 294
mediator cloud, 311 , 324
of quark, 325
structure of, 311
mediator decay, 263


meson, 256
spectral equations, 370
meson decay, 264
Milky Way galaxy, 444
Minkowski space, 47
mixed decay, 308
mixed type decay, 304
mixing matrix, 352
MNS matrix, 352

4.4.3 Modified QED model.


4.5.5 Modified Yukawa potential.


momentum conservation, 265
momentum operator, 333
MSW effect, 354
multi-particle system, 377

N

Navier-Stokes equations, 396
in spherical coordinates, 405
negative pressure, 466 , 485
neutral Higgs, 211
neutrino
non-oscillation mechanism, 357
neutrino mass, 352
neutrino oscillation, 350
neutron degeneracy pressure, 436
neutron star and pulsar, 414 , 421
Newton cosmology, 458
Newtonian dynamics, 80
Newtonian Gravitational Law, 35
Newtonian gravitational potential, 398
Newtonian Second Law, 406
Noether Theorem, 90

O

observable, 332
Oort, J., 472
Oppenheimer limit, 436
origin of stars and galaxies, 439

3.3.2 Orthogonal decomposition theorems.


for tensor fields, 136

P

parity, 259
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