scholarly journals A limiting absorption principle for Schrödinger operators with oscillating potentials. Part II: −Δ + (c sin b ¦x¦/¦x¦) + V(x) for short range V and small coupling constant c

1983 ◽  
Vol 49 (1) ◽  
pp. 85-104 ◽  
Author(s):  
Allen Devinatz ◽  
Peter Rejto
Keyword(s):  
Short Range ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Coupling Constant ◽  
Limiting Absorption Principle ◽  
Small Coupling ◽  
Small Coupling Constant

Optical properties of complex oxides: Vanadate ladders and related inorganic nanotubes

2002 ◽  
Vol 12 (9) ◽  
pp. 355-355
Author(s):  
J. L. Musfeldt ◽  
A. B. Sushkov ◽  
J. Jegoudez ◽  
A. Revcolevschi ◽  
P. Millet ◽  
...  
Keyword(s):  
Phase Boundary ◽  
Degrees Of Freedom ◽  
Energy Scale ◽  
Coupling Constant ◽  
Field Phase ◽  
Inorganic Nanotubes ◽  
Small Coupling ◽  
Small Coupling Constant ◽  
Na Ions ◽  
T Phase

Optical spectroscopy is a sensitive probe of charge, spin, and lattice degrees of freedom. In this talk, I will detail our magneto-optical work on alpha'-NaV2O5, a prototypical ladder material, as well as the new Na2V3O7 nanotubes. Using changes in electronic structure with temperature and applied magnetic field, we have mapped out the H-T phase diagram of alpha'-NaV2O5. We find a temperature independent phase boundary at 27 T which persists above Tc (34 K), a kink in Tc(H) near 27 T, and H$\wedge $2 behavior of Tc(H) in the high field phase with an unusually small coupling constant. The energy scale of Tc and the newly discovered phase boundary at Hc (27 T) are identical. Confinement effects are investigated in the related nanotubes. Results include a larger gap than in analogous bulk materials as well as a low-energy rattling mode, which corresponds to the motion of Na+ ions inside the nanotube.

scholarly journals Spectral Theory for a Mathematical Model of the Weak Interaction—Part I: The Decay of the Intermediate Vector BosonsW±

2009 ◽  
Vol 2009 ◽  
pp. 1-52 ◽  
Author(s):  
J.-M. Barbaroux ◽  
J.-C. Guillot
Keyword(s):  
Ground State ◽  
State Energy ◽  
Fock Space ◽  
Adjoint Operator ◽  
Weak Decay ◽  
Spectral Interval ◽  
Coupling Constant ◽  
Small Coupling ◽  
Small Coupling Constant ◽  
Intermediate Vector

We consider a Hamiltonian with cutoffs describing the weak decay of spin 1 massive bosons into the full family of leptons. The Hamiltonian is a self-adjoint operator in an appropriate Fock space with a unique ground state. We prove a Mourre estimate and a limiting absorption principle above the ground state energy and below the first threshold for a sufficiently small coupling constant. As a corollary, we prove the absence of eigenvalues and absolute continuity of the energy spectrum in the same spectral interval.

scholarly journals Radiative corrections and instability of large Q-balls

2017 ◽  
Vol 32 (37) ◽  
pp. 1750198 ◽  
Author(s):  
A. V. Kovtun ◽  
E. Ya. Nugaev
Keyword(s):  
The Self ◽  
Radiative Corrections ◽  
Coupling Constant ◽  
Small Coupling ◽  
Classical Stability ◽  
Small Coupling Constant ◽  
Self Consistent ◽  
Stable Solutions ◽  
Charge Formula

We discuss stability of Q-balls interacting with fermions in theory with small coupling constant [Formula: see text]. We argue that for configurations with large global U(1)-charge [Formula: see text], the problem of classical stability becomes more subtle. For example, in model with flat direction there is maximal value of charge for stable solutions with [Formula: see text]. This result may be crucial for the self-consistent consideration of Q-ball evaporation into the fermions. We study the origin of additional instability and discuss possible ways to avoid it.

AN ABSTRACT RADIATION CONDITION AND APPLICATIONS TO N-BODY SYSTEMS

2000 ◽  
Vol 12 (05) ◽  
pp. 767-803 ◽  
Author(s):  
JACOB SCHACH MØLLER
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Stark Effect ◽  
Schrödinger Operators ◽  
Radiation Condition ◽  
Schrodinger Operators ◽  
Limiting Absorption Principle ◽  
Inhomogeneous Schrödinger Equation

In the setting of Mourre [18] we characterize the "outgoing" and "incoming" solutions, to the abstract inhomogeneous Schrödinger equation (H-E)u=v, given by the Limiting Absorption Principle. The characterization is in terms of an abstract radiation condition and as an application we give a characterization, in the framework of weighted L2-spaces, of the outgoing and incoming solutions for N-body Schrödinger operators with and without Stark effect. The abstract radiation condition translates in the application into a radiation condition considered by Isozaki in [13].

Structure and Magnetic Properties of a Dinuclear, Doubly Methoxo-Bridged Iron(III) Complex with Tetrahydrosalen as Capping Ligand

1992 ◽  
Vol 47 (12) ◽  
pp. 1681-1686 ◽  
Author(s):  
Peter Baran ◽  
Arnd Böttcher ◽  
Horst Elias ◽  
Wolfgang Haase ◽  
Martina Hüber ◽  
...  
Keyword(s):  
Magnetic Properties ◽  
Sodium Methoxide ◽  
Effective Magnetic Moment ◽  
Monoclinic Space Group ◽  
Coupling Constant ◽  
Temperature Dependent ◽  
Neutral Complex ◽  
X Ray ◽  
Small Coupling ◽  
Small Coupling Constant

The reaction of the tetrahydrosalen ligand H2L = N,N′-bis(2-hydroxy-3-t-butyl-5-methylbenzyl)- 1,2-diaminoethane with iron(III) chloride in the presence of sodium methoxide affords a neutral complex of the composition [FeL(OMe)]. Single crystal X-ray analysis of this complex shows dinuclear units, [FeL(OMe)]2 = 1, with two methoxide bridges. Complex 1 crystallizes in the monoclinic space group C 2/c with a = 31.67(1)Å, b = 12.544(4)Å, c = 14.135(5)Å and β = 101.33(1)°. The two edge-sharing FeO4N2-octahedra are distorted and connected by a center of inversion. The iron(III) centers are separated by 3.203 Å and weakly antiferromagnetically coupled (J = —5.7 cm-1), which follows from temperature-dependent magnetic susceptibility measurements in the range 4.2 to 280 K. The effective magnetic moment per iron(III) is µeff = 5.24 μΒ at 280 K. The observed small coupling constant J fits well into the magnetostructural relationship suggested recently by Gorun and Lippard (Inorg. Chem. 30,1625 (1991)).

scholarly journals CHAOS–ORDER TRANSITION IN MATRIX THEORY

1998 ◽  
Vol 13 (31) ◽  
pp. 2481-2493 ◽  
Author(s):  
I. YA. AREF'EVA ◽  
A. S. KOSHELEV ◽  
P. B. MEDVEDEV
Keyword(s):  
Angular Momentum ◽  
Matrix Theory ◽  
Chaotic Behavior ◽  
Order Transition ◽  
Classical Dynamics ◽  
Coupling Constant ◽  
Small Coupling ◽  
Classical Chaos ◽  
Small Coupling Constant

Classical dynamics in SU(2) matrix theory is investigated. A classical chaos–order transition is found. For small enough angular momentum (even for small coupling constant), the system exhibits a chaotic behavior, for large enough angular momentum, the system is regular.

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