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Berezin F.A. — Method of Second Quantization
Berezin F.A. — Method of Second Quantization



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Название: Method of Second Quantization

Автор: Berezin F.A.

Аннотация:

Series Pure and applied physics


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1966

Количество страниц: 228

Добавлена в каталог: 22.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$D$-differentiable      69
$T$-product      205
$T$-product, reduction of      209
Absolutely convergent trace      8
Algebra, Clifford      57
Algebra, Grassmann      5 26 49 59 60 66 77
Algebra, of functionals      77
Analytic, entire      36
Annihilation operator      11 16ff
Anticommutator of operators      12
antisymmetric      78 82
Bose annihilation operator      11
Bose case, canonical form of quadratic operator      168ff
Bose case, linear canonical transformation      88ff
Bose case, operators on generalized functionals      55ff
Bose creation operator      11
Bosons      1
Canonical transformations of operators      87 103 126
Canonical transformations, improper      89
Canonical transformations, proper      89
Clifford algebra      57
Closure, weak      17
Commutation relations      12 19
Commutator of operators      12
Complete normed algebra      61
Continual integral      38 72ff
Convergence of series      32
Convergence, weak      17
Creation operator      11 16ff
Deficiency indices      15
derivatives      51
Derivatives, left      27 69
Derivatives, right      27 69
Derivatives, variational      36 68ff
Determinant of matrix of proper canonical transformation      97 124
Differentiation, change of variables      70
Direct sum      60
Fermi annihilation operator      11
Fermi case, canonical form of quadratic operator      173ff
Fermi case, linear canonical transformation      116ff
Fermi case, operations on generating functionals      49ff
Fermi creation operator      11
fermions      1
Field operators      184 185
Fock representation      20
Form factor      82
Fourier transform      55
Fredholm determinant, regularized      8
Functionals, anticommuting      66
Functionals, generalized      4 9ff 24 26 35
Gauss integral      41 56 128 132
Generalized orthonormal basis      63
Generators of algebra      66
Generators of algebra, involutive      67
Grassmann algebra      5 26 49 59 60ff 66 77
Grassmann algebra, integral on      53
Grassmann algebra, with inner product      61
Heisenberg equations      184
Hilbert space with involution      6ff
Homogeneous element      50
Homogeneous functional      24 36
Homogeneous linear canonical transformation      89
Inhomogeneous linear canonical transformation      88
Integral representations for operators      215
Integration by parts      39 73
Involution      6 66
Involution, concordant with      6
Left-nondifferentiable      69
Linear canonical transformation      87
Matrix of canonical transformation      90 117
Monomial      49 54
Natural domain of definition      135
Number operator of particles      16
Occupation numbers      5
Operation of operators on vectors      46ff 84
Operator, adjoint      10
Operator, annihilation      11 13ff
Operator, bounded inverse      119
Operator, complex conjugate      7
Operator, creation      11 13ff
Operator, generalized functions      10
Operator, normal form      21 139 147
Operator, product of      47
Operator, real      7
Operator, renormalized field      201
Operator, represented in normal form      23 24 28ff
Operator, symmetric      7
Operator, trace      48 85
Operator, trace class      8
Operators, commuting with creation and annihilation operators      16ff
Partition functions as continual integrals      219
Poisson vectors      32 108
Polynomials      25
Polynomials, bounded      36
Principle of detailed balance      6
Product, inner      1 43 62 83
Projection operator      35
Projective representation of group      102
Proper canonical transformation      87
Quadratic operator, canonical form      168ff
Quadratic operator, not reduced to normal form      149ff
Quadratic operator, reduced to normal form      134 157
Quadratic operator, resolvant      148
Quadratic operator, self-adjoint      135 143
Renormalization      133
Renormalization, constant      201
Right nondifferentiable      69
Scattering operator      183 199
Space, adjoint sub      67
Space, occupation number      2 5
Space, of basic functions      63 65
Space, of generalized functions      63
Space, state      1
Spinor representation      125
Symplectic group      92
Thirring’s model      181
Trace-class operator      8
Transformation decomposable into two components      120
Vectors, finite      2
Vectors, imaginary      6
Vectors, real      6
Vectors, vacuum      13
Wick’s theorem      203
Wick’s theorem, application to $\hat{U}(t, \tau)$      213
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