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725,491
Absolutely Continuous Spectrum of Stark Operators
, 2001
"... We prove several new results on the absolutely continuous spectra of perturbed onedimensional Stark operators. First, we find new classes of perturbations, characterized mainly by smoothness conditions, which preserve purely absolutely continuous spectrum. Then we establish stability of the absolut ..."
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Cited by 1 (1 self)
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We prove several new results on the absolutely continuous spectra of perturbed onedimensional Stark operators. First, we find new classes of perturbations, characterized mainly by smoothness conditions, which preserve purely absolutely continuous spectrum. Then we establish stability
Singular Continuous Spectrum for Palindromic Schrödinger Operators
 COMMUNICATIONS IN MATHEMATICAL PHYSICS
, 1995
"... We give new examples of discrete Schrödinger operators with potentials taking finitely many values that have purely singular continuous spectrum. If the hull X of the potential is strictly ergodic, then the existence of just one potential x in X for which the operator has no eigenvalues implies th ..."
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Cited by 65 (5 self)
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We give new examples of discrete Schrödinger operators with potentials taking finitely many values that have purely singular continuous spectrum. If the hull X of the potential is strictly ergodic, then the existence of just one potential x in X for which the operator has no eigenvalues implies
On the Absolutely Continuous Spectrum of Block Operator Matrices
, 2005
"... On the absolutely continuous spectrum of block operator matrices S. Albeverio ∗ and A.Yu. Konstantinov † Abstract. We prove an abstract theorem on the preservation of the absolutely continuous spectrum for block operator matrices. ..."
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Cited by 1 (0 self)
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On the absolutely continuous spectrum of block operator matrices S. Albeverio ∗ and A.Yu. Konstantinov † Abstract. We prove an abstract theorem on the preservation of the absolutely continuous spectrum for block operator matrices.
Rigged Hilbert Space Treatment of Continuous Spectrum
"... The ability of the Rigged Hilbert Space formalism to deal with continuous spectrum is demonstrated within the example of the square barrier potential. ..."
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Cited by 4 (0 self)
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The ability of the Rigged Hilbert Space formalism to deal with continuous spectrum is demonstrated within the example of the square barrier potential.
Comparison of parametric representations for monosyllabic word recognition in continuously spoken sentences
 ACOUSTICS, SPEECH AND SIGNAL PROCESSING, IEEE TRANSACTIONS ON
, 1980
"... Several parametric representations of the acoustic signal were compared as to word recognition performance in a syllableoriented continuous speech recognition system. The vocabulary included many phonetically similar monosyllabic words, therefore the emphasis was on ability to retain phonetically ..."
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Cited by 1092 (2 self)
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Several parametric representations of the acoustic signal were compared as to word recognition performance in a syllableoriented continuous speech recognition system. The vocabulary included many phonetically similar monosyllabic words, therefore the emphasis was on ability to retain
Absolutely continuous spectrum of perturbed Stark operators
 Trans. Amer. Math. Soc
"... Abstract. We prove new results on the stability of the absolutely continuous spectrum for perturbed Stark operators with decaying or satisfying certain smoothness assumption perturbation. We show that the absolutely continuous spectrum of the 1 − 3 −ǫ Stark operator is stable if the perturbing poten ..."
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Cited by 4 (2 self)
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Abstract. We prove new results on the stability of the absolutely continuous spectrum for perturbed Stark operators with decaying or satisfying certain smoothness assumption perturbation. We show that the absolutely continuous spectrum of the 1 − 3 −ǫ Stark operator is stable if the perturbing
Singular continuous spectrum under rank one perturbations and localization for random Hamiltonians
 Comm. Pure Appl. Math
, 1986
"... We consider a selfadjoint operator, A, and a selfadjoint rankone projection, P, onto a vector, 9, which is cyclic for A. In terms of the spectral measure dp;, we give necessary and sufficient conditions for A + A P to have empty singular continuous spectrum or to have only point spectrum for a.e. A ..."
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Cited by 122 (16 self)
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We consider a selfadjoint operator, A, and a selfadjoint rankone projection, P, onto a vector, 9, which is cyclic for A. In terms of the spectral measure dp;, we give necessary and sufficient conditions for A + A P to have empty singular continuous spectrum or to have only point spectrum for a
On the absolutely continuous spectrum of Dirac operator
 Comm. Partial Diff. Eq
"... Abstract. We prove that the massless Dirac operator in R 3 with longrange potential has an a.c. spectrum which fills the whole real line. The Dirac operators with matrixvalued potentials are considered as well. 1. ..."
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Cited by 10 (6 self)
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Abstract. We prove that the massless Dirac operator in R 3 with longrange potential has an a.c. spectrum which fills the whole real line. The Dirac operators with matrixvalued potentials are considered as well. 1.
Imbedded Singular Continuous Spectrum For Schrödinger Operators
 Evolutionary Algorithms in Engineering Applications
, 1997
"... We construct examples of potentials V (x) satisfying jV (x)j where the function h(x) is growing arbitrarily slowly, such that the corresponding Schrödinger operator has imbedded singular continuous spectrum. This solves one of the fifteen "twentyfirst century" problems for Schrödinger ope ..."
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Cited by 12 (3 self)
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We construct examples of potentials V (x) satisfying jV (x)j where the function h(x) is growing arbitrarily slowly, such that the corresponding Schrödinger operator has imbedded singular continuous spectrum. This solves one of the fifteen "twentyfirst century" problems for Schrödinger
Results 11  20
of
725,491