Index
-product, 136
action
classical, 35, 208, 260
functional, 5
abbreviated, 35
algebra
of classical observables, 38, 46
angular momentum
conservation of, 20
internal, 217
operator, 181, 217
vector, 20, 180
angular velocity, 13
anti-holomorphic representation, 113
asymptotics
semi-classical, 206, 280
short-wave, 206
Berezin integral, 319
incomplete, 331
Berezinian, 329
Born-von Neumann formula, 70
bosons, 220
canonical
anticommutation relations, 308
commutation relations, 104, 110, 307
coordinates, 44
transformation, 39
free, 42
generating function of, 41
chirality operator, 313
classical trajectory, 4
Clebsch-Gordan decomposition, 184
Clifford algebra, 311
completeness relation, 165, 187
complex probability amplitude, 240
configuration space, 4
extended, 18
conservation law, 15
coordinate
operator, 81, 86
for fermions, 310
representation, 86
coordinates
even, 344
normal, 12
odd, 344
correspondence principle, 80
Coulomb
potential, 193
problem, 193
Darboux’ theorem, 44
deformation quantization, 143
degrees of freedom, 4
internal, 217
determinant
characteristic, 266
Fredholm, 273
regularized, 262
van Vleck, 285
Dirac
bra and ket vectors, 91
gamma matrices, 313
Laplacian, 366, 368
operator
chiral, 366, 368
on
Rn,
366
on a spin manifold, 367
Dirac-von Neumann axioms, 73
383
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