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Veselic I. — Integrated density of states and Wegner estimates for random Schrodinger operators
Veselic I. — Integrated density of states and Wegner estimates for random Schrodinger operators

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Название: Integrated density of states and Wegner estimates for random Schrodinger operators

Автор: Veselic I.

Язык: en

Рубрика: Математика/Математическая Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 87

Добавлена в каталог: 26.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\Gamma$-trace      17 36
Abelian covering manifold      14
Absolutely continuous coupling constants      5
Absolutely continuous IDS      36
Absolutely continuous spectrum      7—9
Admissible exhaustion      19
Aizenman — Molchanov technique      see "Fractional moment method"
Alloy type, model      3 5 8 34
Alloy type, potential      5 7
Amenable group      17 20 29
Anderson localisation      7 37
Anderson model      33 35 64
b.c.      see "Boundary conditions"
Bernoulli distributed coupling constants      35
Bernoulli distribution      35
Bernoulli — Anderson potential      3
Bernoulli, disorder      40
Bernoulli, random variables      3
Bethe — Sommerfeld conjecture      12
Betti number      36
Binary alloy      3
Bishop's theorem      see "Volume comparison theorem"
Bound state      7
boundary conditions      4 14 33
Boundary conditions, independence      33
Boundary tube      19
Bounded random operator      16
Brownian motion      24
Common density      63 65
Conditional densities of coupling constants      65
Contraction, semigroup      24
Convolution vector      62
Correlated coupling constants      65
Coupling constants      5
Decay of eigenfunctions      7—8
Decay of Green function      39
Decay of heat kernel      23
Delocalised states      8
Density of states      33 35 57
Density of states, measure      10
Dirichlet form      24
Dirichlet — Neumann bracketing      11 31 53 58 66
Discontinuous IDS      36
Distribution function      10—11 17 29
Distribution of coupling constant      5
Distribution of eigenvalues      37
Distribution of potential values      35
Domain monotonicity      25
DOS      see "Density of states"
Doubling property      see "Tempelman property"
Dynamical localisation      8
Effective Hamiltonian on a manifold      11
Equivariance      14
Ergodic      3
Ergodic action      5
Ergodic operator      6
Ergodic potential      6
Ergodic theorem      11 29 31
Exhaustion      18 19
Exponential localisation      7
Extended state      see "Scattering state"
Extension operator      69 70
Extension property      33
Extra-potential      11
Feynman — Kac formula      24
Finite dimensional distributions      6
Finite volume integrated density of states      see "Normalised eigenvalue counting function"
Fluctuation boundaries of the spectrum      9
Foelner sequence      18
Fractional moment method      38
Friedrichs extension      14
Fundamental domain      14
Fundamental solution of heat equation      25
Generalised step function      62
Gronwall's lemma      52
Heat equation      26
Heat equation, kernel      23 25
Heat semigroup      28
Heisenberg group      15
Hellmann — Feynman formula      44 49 52
Hilbert — Schmidt class      8 69
Hoelder continuity of coupling constants      54
Hoelder continuity of IDS      35 46 53
Hoelder continuous coupling constants      54
Holomorphic family of operators      44
Hyperbolic space      19
IDS      see "Integrated density of states"
Infinitesimally bounded      5 57
Initial scale estimate      38 39
Integrated density of states      10 20
Interlacing theorem      53
Kato — Rellich theorem      5
Kato — Simon inequality      70
Kernel of semigroup      66
Krein trace formula      67
Laplace transform      10 30
Laplace — Beltrami operator      12 13 36
Level statistics      37
Lifshitz tails      9 33
Lipschitz continuity      35 51 56
Localisation, interval      7
Locally continuous coupling constants      49
Log-Hoelder continuity      36
Long range correlations      7
Long range single site potentials      55
Magnetic potential      53 66 70
Markov, semigroup      24
Maximum principle      26
Measurability      20
Measurable family of operators      20
Measure preserving transformations      6
Mobility edge      8 33
Multiscale analysis      35 55
Non-randomness of spectra      16
Normalised eigenvalue counting function      10
Off-diagonal decay of heat equation, kernel      23
One-electron Hamiltonian      2
Operator domain      4
Pastur — Subin convergence criterion      30
Pastur — Subin trace formula      10 20
Percolation      36
Periodic operator on manifold      12 20
Periodic potential      9
Points of increase      17
Pointwise ergodic      18
Polyhedral domain      14
Positivity preserving semigroup      24
Principle of not feeling the boundary      23
Pure point spectrum      7 37
Quadratic form      14 22
Quadratic form, domain      22
Quantum percolation model      36
Quantum waveguides      12
Quasi-norm      68
Random metric      13
Random Schroedinger operator      2 14
Relative form-boundedness      5
Relatively bounded      4
Resonance      40 41
Ricci curvature      13
Scattering state      7
Schroedinger equation      7
Schroedinger operator on manifold      11
Schroedinger, semigroup      47
Self-averaging      10
Semigroup      23 24 26 30
Semigroup generated by Schroedinger operator      47
Semigroup, kernel      24
Shulman property      18
Single site distribution      5 38
Single site of changing sign      40 54
Single site of long range      55
Single site potential      5 38
Singular values      47 67 69
Spectral averaging      43 59
Spectral gaps      12 14
Spectral localisation      7
Spectral measure      17
Spectral projection      8 43
Spectral shift function      46 52 67 71
SSF      see "Spectral shift function"
Stationary      6
Stone's formula      60
Subadditive process      11 31
Super-trace class      47 68
Superadditive process      11 31
Symbol of Toeplitz matrix      64
Tempelman property      18
Tempered sequence      18
Toeplitz matrix      63
Trace      58
Trace, class      43 46 58 67 69
Trace, regularising      57 59 66
Ultracontractive semigroup      24
Unbounded coupling constants      6 58 66
Unique continuation property      35 37 53
van Hove property      19 28
Volume, comparison theorem      26
Volume, density      13
von Neumann algebra      16
Wegner constant      34
Wegner estimate      33 38 39
Weyl asymptotics      31 38 40 45
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