155 research outputs found
Correction to:Minimizing a Wireless Passive LC-Tank Sensor to Monitor Bladder Pressure: A Simulation Study (Journal of Medical and Biological Engineering, (2017), 37, 6, (800-809), 10.1007/s40846-017-0244-2)
The article “Minimizing a Wireless Passive LC-Tank Sensor to Monitor Bladder Pressure: A Simulation Study”, written by Jacob Melgaard, Johannes J. Struijk, Nico J. M. Rijkhoff was originally published Online First without open access. After publication in volume [37], issue [6], page [800–809] the author decided to opt for Open Choice and to make the article an open access publication. Therefore, the copyright of the article has been changed to</p
Supplemental Material, sj-pdf-1-ojs-10.1177_23259671211065447 - Design Features and Rationale of the BEAR-MOON (Bridge-Enhanced ACL Restoration Multicenter Orthopaedic Outcomes Network) Randomized Clinical Trial
Supplemental Material, sj-pdf-1-ojs-10.1177_23259671211065447 for Design Features and Rationale of the BEAR-MOON (Bridge-Enhanced ACL Restoration Multicenter Orthopaedic Outcomes Network) Randomized Clinical Trial by BEAR-MOON Design Group, Kurt P. Spindler, Peter B. Imrey, Sercan Yalcin, Gerald J. Beck, Gary Calbrese, Charles L. Cox, Paul D. Fadale, Lutul Farrow, Robert Fitch, David Flanigan, Braden C. Fleming, Michael J. Hulstyn, Morgan H. Jones, Christopher Kaeding, Jeffrey N. Katz, Peter Kriz, Robert Magnussen, Ellen McErlean, Carrie Melgaard, Brett D. Owens, Paul Saluan, Greg Strnad, Carl S. Winalski and Rick Wright in Orthopaedic Journal of Sports Medicine</p
Threshold properties of matrix-valued Schrödinger operators, II. Resonances
AbstractWe present some results on the perturbation of eigenvalues embedded at a threshold for a matrix-valued Hamiltonian with three-dimensional dilation analytic Schrödinger operators as entries and with a small off-diagonal perturbation. The main result describes how a threshold eigenvalue generates resonances (that is, poles of the meromorphic continuation of the perturbed Hamiltonian)
Scattering properties for a pair of Schrödinger type operators on cylindrical domains
Strong asymptotic completeness is shown for a pair of Schr\"{o}dinger type operators on a cylindrical Lipschitz domain. A key ingredient is a limiting absorption principle valid in a scale of weighted (local) Sobolev spaces with respect to the uniform topology. The results are based on a refined version of Mourre's method within the context of pseudo-selfadjoint operators
A new approach to quantum scattering near the lowest Landau threshold for a Schrödinger operator with a constant magnetic field
For a fixed magnetic quantum number m results on spectral properties and scattering theory are given for the three-dimensional Schrödinger operator with a constant magnetic field and an axisymmetrical electric potential V. Asymptotic expansions for the resolvent of the Hamiltonian H m ?=?H om ?+?V are deduced as the spectral parameter tends to the lowest Landau threshold E 0. In particular it is shown that E 0 can be an eigenvalue of H m . Furthermore, asymptotic expansions of the scattering matrix associated with the pair (H m , H om ) are derived as the energy parameter tends to E 0
On bound states for systems of weakly coupled Schrödinger equations in one space dimension
We establish the Birman–Schwinger relation for a class of Schrödinger operators -d2/dx2?1H+V on L2(math,H), where H is an auxiliary Hilbert space and V is an operator-valued potential. As an application we give an asymptotic formula for the bound states which may arise for a weakly coupled Schrödinger operator with a matrix potential (having one or more thresholds). In addition, for a two-channel system with eigenvalues embedded in the continuous spectrum we show that, under a small perturbation, such eigenvalues turn into resonance
Spectral Properties at a Threshold for Two-Channel Hamiltonians II. Applications to Scattering Theory
AbstractSpectral properties and scattering theory in the low-energy limit are investigated for two-channel Hamiltonians with Schrödinger operators as component Hamiltonians. In various, mostly fairly “singular” settings asymptotic expansions of the resolvent are deduced as the spectral parameter tends to the threshold zero. Furthermore scattering theory for pairs of two-channel Hamiltonians is established. As an application of the expansions of the resolvent, asymptotic expansions of the scattering matrix are derived as the energy parameter tends to the threshold zero
Spectral properties at a threshold for two-channel Hamiltonians. I. Abstract theory
AbstractSpectral properties at thresholds are investigated for two-channel Hamiltonians in various, mostly fairly “singular” settings. In an abstract framework we deduce asymptotic expansions of the resolvent as the spectral parameter tends to a threshold. The results are based on given asymptotic expansions of the component Hamiltonians. Applications to scattering theory are given in a companion paper
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Quantum collisions in semi-constrainted structures
The problem of a quantum particle moving in a narrow, bent two-dimensional channel is used to illustrate features of collisions in systems with semi-constrained structures. The collision theory of such systems is developed and, under certain general restrictions on the geometry, the following properties are rigorously established: (1) The (localized) Møller wave operator exist and the S operator is unitary in the scattering channels. (2) The singular spectrum is discrete in intervals away from the continuum thresholds. The discussion is based on a time-dependent approach
Bound States for the Three-Dimensional Aharonov-Bohm Quantum Wire
The existence of bound states for the three-dimensional Aharonov-Bohm quantum wire, suggested by Dunne and Jaffe, is established provided the wire is thin enough. Recent results on the Aharonov-Bohm Schrödinger operator on a disk are used
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