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| Авторизация |
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| Поиск по указателям |
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| Berezin F.A. — Method of Second Quantization |
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| Предметный указатель |
 -differentiable 69
 -product 205
-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  213
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