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Jauch J.M. — Foundations Of Quantum Mechanics
Jauch J.M. — Foundations Of Quantum Mechanics

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Название: Foundations Of Quantum Mechanics

Автор: Jauch J.M.

Язык: en

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1968

Количество страниц: 155

Добавлена в каталог: 07.04.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\sigma$-homomorphism      see Observable(s)
a.e.      see Almost everywhere
Abelian, algebra      57
Abelian, algebra, maximal      57
Abelian, group      137
Absolutely continuous measure      8
Achieser, N. I.      29 45 64 221
Adjoint operator      35
Albertson, J.      120
Algebra, abelian      57
Algebra, boolean      5
Algebra, generated by an operator      57
Algebra, Lie      140
Algebra, maximal abelian      57
Algebra, semi-finite      271
Algebra, von Neumann      57 247 249
Almost everywhere      7
Angular momentum, composition of      259
Angular momentum, density      241
Angular momentum, intrinsic (or spin)      249
Angular momentum, orbital      258
Angular momentum, total      258
Annihilation operator      44 211 282 285
Antiautomorphism      129
Antilinear mapping      31
Antisymmetrical subspace      279
Aquinas, T.      275
Artin, E.      133 150
Atomic proposition      79 87
Automorphism      136 142 153
Automorphism, anti      129
Automorphism, inner      138
Baer, R.      133
Bargmann V.      149 150 221 225
Bauer, E.      191
Bell, J. S.      120
Bessel’s inequality      22
Bethe, H. A.      246
Biedenharn, L.      134
Birkhoff, G.      79 80 83 88 110 129 133
Bohm, D.      120
Bohr, N.      69 90 107 110 168 187 192
Borel, function      78 98 101
Borel, set      6
Born, M.      195
Bose gas (free)      280
Bose — Einstein statistics      278
Bound of propositions, greatest lower      74
Bound of propositions, least upper      76
Bounded, linear functional      see Functional
Bounded, linear operator      see Operator
Bra      32
Brodbeck, M.      88
Broglie de, L.      120 191
Calculus, functional, for observables      101
Calculus, propositional      77
Canonical, commutation rules      43 199
Canonical, transformation      211
Carroll, L.      269
Cauchy sequence      16 19 26
Cayley equation      49
Center, of a lattice      81 108
Center, trivial      81
Characteristic function      39
Closed, linear manifold      25
Closed, operator      40
Closure of, a linear manifold      25
Closure of, a linear operator      40
Coherent, component      143 145
Coherent, lattice      124
Coherent, proposition system      115
Coherent, sublattice      109 145
Commutation rules, irreducible representation of the      201
Commutation rules, Schr$\ddot{o}$dinger representation of the      200
Commutation rules, Weyl’s form of the      198
Compact space      59
Compatibility      80 81
Compatible, observables      101
Compatible, projections      86
Compatible, propositions      81 95
Compatible, subspaces      27
Complement, orthogonal      25
Complement, relative, of a subset      4
Complementarity      69
Complete, lattice      77
Complete, lattice, $\sigma$      80
Complete, orthonormal system      22
Complete, space      16 19
Complete, system of observables      101
Conjugate, linear functional      32
Conjugate, linear transformation      177
Connected, automorphisms      145
Connected, component      145
Connected, multiply      141
Connected, simply      141
Conservative system      156
Convergence, in the measure      12
Convergence, strong      21
Convergence, weak      21
Coordinate system      22
Coset, left      137
Coset, right      137
Covering group, universal      141
Creation operator      44 211 282 285
Croiset, R.      88 133
Current, probability      240
DATUM      174
Dense sequence      19
density      240
Density, operator      132
Density, probability      239
Destouche — F$\acute{e}$vrier, P.      89
Dimension of a space      20
Dirac picture      157
Dirac, P. A. M      31 45 105 110
Direct integral of Hilbert spaces      250
Direct sum of, Hilbert spaces      281
Direct sum of, subspaces      25 26
Disjoint, propositions      86 95
Disjoint, subspaces      28
Displacement operator      198
Distributivity      28 39 79
Dixmier, J.      205 221 287
Domain, of a function      9
Domain, of an operator      33
Dual space      31
Dubreil — Jacotin, L.      88 133
Dunford, N.      17
d’Espagnat, B.      192
Eigenfunction expansion      62
Eigenvalue, of an operator      47
Eigenvalue, simple      47
Eigenvector of an operator      47
Einstein, A.      111 112 174 185 186 187 190 191 192
Element      3
Elementary, particle      205 235
Elementary, quasi-, system      206
Elementary, system      145
Emch, G      134 150
Energy, kinetic      210
Energy, potential      210
Energy, total      210
Equality, of propositions      74
Equality, of sets      3
Event      174
Evolution, operator      154 209
Evolution, time      151
Expectation value of an observable      99
Experiment, Stern — Gerlach      252
Experiment, Yes-no      see Proposition
Extension of an operator      34
Faithful representation      231 234
Feigl, H.      88
Fermi gas (free)      285
Fermi, E      278
Filter      73 165
Finkelstein, D.      134
Fock space      281
Foldy, L.      221
Folias, C.      221
Form, definite      129
Form, Hermitian      129
Form, quadratic      32
Form, sesquilinear      129
Fourier transformation      63 243
Frank, P.      88
Frobenius, G.      201
Function space      16
Function, $\sigma$- additive      7
Function, analytic      215
Function, argument of a      9
Function, Borel      78 98 101
Function, continuous      11
Function, domain of a      9
Function, eigenfunction expansion      62
Function, integrable      12 55
Function, inverse      10
Function, measurable      11 55
Function, range of a      9
Function, set      10
Function, simple      11
Function, single-valued      10
Functional calculus      55
Functional, bounded linear      30 55
Functional, conjugate linear      32
Functional, norm of a linear      30
Functional, positive sesquilinear      33
Functional, sesquilinear      32 35
Functional, strictly positive sesquilinear      33
Functional, symmetrical sesquilinear      32
Galilei, G      30
Galilei, invariance      207
Galilei, invariant      235
Galilei, transformation      207
Gas, free Bose      280
Gas, free Fermi      285
Geher, L.      221
Geometry, continuous      123
Geometry, projective      123 127 128
Glasmann, I. M.      29 45 64 221
Glauber, R. J.      221
Gleason, A. M      104 110 132 134
Gleason’s theorem      132
Gram determinant      22
Grosseteste, R.      3
Group      137
Group, abelian      137
Group, cyclic      137
Group, dynamical      154
Group, factor      138
Group, invariant sub      138
Group, Lie      139
Group, sub      137
Group, topological      139
Group, universal covering      141
Halmos, P. R.      17 29
Hamermesh, M.      150
Hamiltonian (or evolution operator) of a system      154
Hanson, N. R.      191
harmonic oscillator      211
Heisenberg — picture      155
Heisenberg, W.      191
Helmholtz, H. L. F. von      68
Hermite polynomials      45 213
Hermitian operator      see Symmetrical
Hertz, H.      68
Hidden variables      116
Hilbert, relation      53
Hilbert, space      18
Homogeneity      197 224
Homomorphism      138
Horace      46
Horwitz, L.      134
Huygens, C.      68
Identical particles      275
Ikebe, T.      64
Imprimitivities      see System of imprimitivities
In$\ddot{o}$n$\ddot{u}$, E.      221
Integral, definite      12
Integral, direct      250
Integral, indefinite      12
Integral, Lebesgue      13
Integral, Lebesgue — Stieltjes      13
Integral, of a simple function      12
Intersection of, propositions      see Bound of propositions greatest
Intersection of, sets      4
Intersection of, subspaces      26 38
Invariance, Galilei      207
Invariance, gauge      238
Inverse, image      10 98
Inverse, of a function      10
Inverse, of an operator      34
Isometry (partial)      35
Isomorphism      see Morphism
Isotopic spin      249
Isotropy      225
Jacobi identity      140
Jauch, J. M      64 120 134 272 280 287
Jordan, P.      22 29 88
Jost, R.      287
Kaplansky, I.      220 221
Kepler, J.      121
Ket      32
Kilpi, Y      205 221
Kolmogorov, A. N.      95 110
Korner, S.      191
Kramer degeneracy      261
Kronig, R.      247 268
Larmor frequency      263
Lattice      26
Lattice, atomic      80
Lattice, Boolean      80
Lattice, center of a      81 108
Lattice, complete      27 77
Lattice, direct union of      81
Lattice, distributive      80
Lattice, irreducible      81 108 124
Lattice, modular      83 122
Lattice, of subspaces      85
Lattice, orthocomplemented      27 77 129
Lattice, reducible      81 108 125
Lattice, sub      80
Lattice, weakly modular      86
Lebesgue theorem      9
Lebesgue — Stieltjes integral      13
Lebesgue — Stieltjes measure      8
Lebesgue, H. L.      9
Lebesgue, integral      13
Lebesgue, measure      7
Leibnitz, G. W. von      275
Lesieur, L.      88 133
Lie, algebra      140
Lie, group      139 141
Linear, manifold      20 24 128
Linear, manifold, closed      25
Linear, manifold, closure of a      25
Linear, operator      33
Linear, vector space      18
Linearly, dependent system      20
Linearly, independent system      20
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