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Bornemann F. — Homogenization in Time of Singularly Perturbed Mechanical Systems (Lecture Notes in Mathematics, 1687)
Bornemann F. — Homogenization in Time of Singularly Perturbed Mechanical Systems (Lecture Notes in Mathematics, 1687)

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Название: Homogenization in Time of Singularly Perturbed Mechanical Systems (Lecture Notes in Mathematics, 1687)

Автор: Bornemann F.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1998

Количество страниц: 160

Добавлена в каталог: 24.04.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abraham, R.      14 38
Abstract limit equation      11 39 111
Action, normal      12 22 45 97 110
Action-angle variables      29 131 137
Adiabatic evolution      104
Adiabatic invariant      3 13 15 22 29 46 57 76 97 110
Adiabatic theorem of quantum mechanics      5 90—92 103
Adiabatic trap      76
Alaoglu theorem      8 120
Alfven, H.      76
Arnold — Gallavotti theorem      58
Arnold's theorem      58
Arnold, V.I.      15 46 58 76 131
Arzela — Ascoli theorem, extended      8
Average motion      73
Averaging      2 6
Avron, J.E.      104
Balanced initial data      59
Banach — Alaoglu theorem      8
Benettin, G.      58
Bensoussan, A.      2
Berkowitz, J.      76
Birman — Schwinger bound      103
Bochner — Taylor theorem      120
Born — Oppenheimer approximation      87 105
Born — Oppenheimer equation      107
Born — Oppenheimer potential      106
Born, M.      103
Bott, R.      19
Butane molecule      78
Canonical form of an operator      118
Canonical system      86
Castro, E.A.      96
Chemin, J.Y.      59
Christoffel symbols      30
Christoffel symbols, nonsymmetric version      30
Codimension of a resonance      24
Codimension of the critical manifold      21
Collinear collision      113
Compensated compactness      38 144
Configuration space      17
Conformation, geometrical      80
Constraints, physically real      51
Critical manifold      10 19
Critical manifold, nondegenerate      19
Cyclic variable      74
Density operator      90 94 109 117
Diestel, J.      119
div-curl lemma      144
Dunford — Pettis theorem      120
Ebin, D.G.      59
Ehrenfest's correspondence principle      5 97
Elimination of fast variables      73 134
Embid, P.F.      59
Energy      10 18 30 108
Energy level      92
Energy level probability      97 110
Energy level, crossing      92 114—
Energy level, crossing, normal form      114
Energy, kinetic, of constrained motion      36
Energy, kinetic, of normal motion      36 44
Energy, potential, of constrained motion      36
Energy, potential, of normal motion      36 44
Energy, total, of constrained motion      36
Energy, total, of normal motion      36 44 57
Energy-frequency relation      92
Equi-distribution of energy      83
Equi-partitioning of energy      12 14 16 38 83 144
Equilibrium      73 77
Euler — Lagrange equation      18 51
External force      66
Fano, U.      94
Fernandez, F.M.      96
Filtering      6
Fixman-potential      83
Fock, V.      103
Force, homogenized      39
Form domain      128
Frequency, normal      21 41
Friction      66
Friction, $\kappa$-isotropic      68
Friction, viscous      68
Friedrichs extension      128
Friedrichs, K.-O.      104
Funnel      66
Galerkin approximation      85
Galgani, L.      58
Gallavotti, G.      51 58 84
Gap condition      103
Gardner, C.S.      76
Gaussian initial preparations      113
Gelfand triple      see "Rigged Hilbert space"
Generic property      24
Genericity      24
Geodesic exponential map      31
Geometric optics      1 104
Geophysical fluid flow      59
Gerard, P.      143
Giorgilli, A.      58
Goldstein, H.      38
Grammian      23
Gronwall lemma      53 94
Ground state      105 114
Guiding center motion      75
Gyration      75
Gyroscopic force      66 68
H-measure      3 143
Hagedorn, G.A.      113 114
Hamiltonian      85 128
Hamiltonian mechanics      74
Hamiltonian, parametrized      89 106
Hamiltonian, two-body      102
harmonic oscillator      16 43
Harmonic oscillator, perturbed      41
Harmonic oscillator, quantum      113
Heine — Borel property      7
Hellmann — Feynman theorem      93 108
Hellwig, G.      76
hessian      19
Hessian, reduced      23 80
Hirschfelder, J.O.      96
Homogenization      2 17
Homogenization, stability of      59
Hypervirial theorem      96
Incompressible limit of fluid flow      59
Infinitely slow change      91
Integrable Hamiltonian system      1 4 15 76 131
Jensen, H.      28 40 51 58 71
Kampen, N.G. van      28 40 51 58
Kato — Rellich theorem      106
Kato, T.      104 129
Keller, J.B.      4 29 73
Kisynski's theorem      93
Kisynski, J.      93
Klainerman, S.      59
KLMN theorem      129
Koiller, J.      29
Koppe, H.      28 40 51 58 71
Kozlov, V.V.      15 46 58 131
Kreiss, H.-O.      58
Kruskal, M.      76
Lagrange — d'Alembert principle      4 17 51 71
Lagrangian      17
Lagrangian, holonomic constrained      51
Lagrangian, homogenized      22
Lagrangian, reduced      74
Landau, L.D.      38
Larmor frequency      76
Larmor gyration      75
Lax — Milgram Theorem      128
Lax, P.D.      129
Lebesgue — Bochner space      117 119
Legendre transform      74 85
Levi — Civita connection      18
Lifshitz, E.M.      38
Lions, J.-L.      2 93 129
Lipschitz perturbation of evolution equations      108
Localization principle      38 143
Lubich, C      58 136
Magnetic mirror      74 76
magnetic moment      76
Magnetic trap      74 76
Majda, A.J.      59
Marsden, J.E.      14 38
Mass matrix      77
Mechanical system, natural      17
Mechanical system, stiff      58
Messiah, A.      94 104
Metric tensor      29 86
Microlocal defect measure      see "H-measure"
Milgram, A.N.      129
Molecular Dynamics      74 76 84 89
Momentum function      14
Morse theory      19
Motion, constrained      32
Motion, normal      32
Multiple-scale-asymptotics      1 29
Multiplicity, smooth      21
Murat, F.      2
Neishtadt, A.I.      15 46 58 131
Nekhoroshev estimate      58
Nelson, E.      129
Nettesheim, P.      84 86 113
Neumann, J.von      115
Newtonian equation of motion      10 29 84
Northrop, T.G.      76
Numerical integrator      73 82
Operator ideal      118
Operator, bounded      117
Operator, compact      117
Operator, finite rank      117
Operator, semi-bounded selfadjoint      91 128
Operator, unbounded      90
Papanicolaou, G.      2
Perturbation theory      1 4 15 24 55 76 115 131
Plasma physics      74
Potential, bond-angle      77
Potential, bond-stretching      77
Potential, Born — Oppenheimer      106
Potential, constraining      10 19
Potential, constraining, spectrally smooth      20
Potential, constraining, strong      17 51 77
Potential, Fixman      83
Potential, homogenized      14 22
Potential, homogenized, scaling invariance of      78
Potential, Rollnik      129
Potential, singularly perturbed      17
Potential, torsion angle      79
QCMD      see "Quantum-classical coupling model"
Quadratic form      128
Quadratic form, coercive      91 128
Quadratic form, symmetric      128
Quantum adiabatic approximation      87
Quantum chemistry      74 84
Quantum harmonic oscillator      113
quantum mechanics      87 89 128
Quantum-classical coupling model      84 89 104 136
Quantum-classical coupling model, example of      113
Quasi-geostrophic limit      59
Radon — Nikodym property      120
Realization of holonomic constraints      17 51 71 72
Reed, M.      102 117
Reich, S.      83
Rellich, F.      60 116
Resonance      3 16 114
Resonance of codimension one      24
Resonance of codimension two      25 115
Resonance of order j      21
Resonance, essentially no      41 42 92 112
Resonance, example of      82
Resonance, hypersurface      21
Resonance, non-flat      21 107
Riemann — Lebesgue lemma      6 29 43
Riemann — Lebesgue lemma, generalized      7 28
Riemannian manifold      17
Riemannian metric      17 86
Riesz representation map      125
Rigged Hilbert space      91 92 105 124 128
Ringrose, J.R.      117
Rollnik class      102 129
Rotating axis representation      104
Routh's method      74
Rubin, H.      28 57 58 76
Rubinstein, J.      4 29 73
Rudin, W.      8 96
Schatten, R.      117
Schmidt, H.-J.      58
Schochet, S.      59
Schroedinger equation      84
Schroedinger equation, nonlinearly coupled      105
Schroedinger equation, time-dependent      91
Schroedinger equation, time-dependent, existence and uniqueness      93
Schuette, C      27 28 40 58 74 78 84 86 90 104 113 114
Seiler, R.      104
Semiclassical approximation      113
Semiclassical measure      3 38 143
Simon, B.      102 117 128
Singular limit      1
Singular perturbation      1
Singular value decomposition      118
Slow manifold      58
Sobolev embedding      8
Specific charge      75
Spectrum, discrete      92
Spectrum, essential      98
Spitzer, L.      76
Statistical operator      see "Density operator"
Statistical physics      83
Stone's theorem      108
Takens chaos      4 66 114
Takens, F.      4 29 43 58 59 66
Tartar, L.      2 143
Thermodynamics      83
Time-step, numerical      73 82
Trace      118
Trace class      118
Trace class, norm      118
Trace-class-operator-valued function      120
Transfer of key protons      89
Tubular coordinates      31
Tubular neighborhood      31
Uhl, J.J.      119
Ungar, P.      28 57 58 76
Van Allen radiation belt      76
Vector measure      119
Virial function      14
Virial theorem      3 12 14 38
Virial theorem, hyper      96
Virial theorem, weak      12 14 37 90 95 110 143
Wave equation, semilinear      29
Weak virial theorem      see "Virial theorem"
Weak* continuity      7
Weak* continuity, cubic      42
Weak* convergence      5 120
Weyl's theorem      102
Wigner measure      3 143
Wigner, E.      115
WKB method      1 28 76
Yaffe, L.G.      104
Young measure      3 143
1 2
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