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Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

Roland Donninger

We consider semiclassical Schr"odinger operators on the real line of the form

H(\hbar)=-\hbar^2 \frac{d^2}{dx^2}+V(\cdot;\hbar)

with

\hbar>0

small. The potential

V

is assumed to be smooth, positive and exponentially decaying towards infinity. We e ...

Springer Basel Ag2012

Terme spectroscopique

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Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

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Cooperativity in Spin Crossover Systems. An Atomistic Perspective on the Devil's Staircase

UV and IR Spectroscopy of Cryogenically Cooled, Lanthanide-Containing Ions in the Gas Phase

Study of the Ne(3P2) + CH3F Electron-Transfer Reaction below 1 K

Nonadiabatic Dynamics with Spin-orbit couplings

Charge transport properties of spin-orbit coupled materials in different correlation regimes

J1−J2 square-lattice Heisenberg antiferromagnets with 4d1 spins: AMoOPO4Cl (A=K,Rb)

Re and Br X-ray Absorption Near-Edge Structure Study of the Ground and Excited States of [ReBr(CO)(3)(bpy)] Interpreted by DFT and TD-DFT Calculations

Pre-selection of optical transitions in rare-earth ions in crystals perspective for quantum information processing

Relativistic effects in spectroscopy and photophysics of heavy-metal complexes illustrated by spin–orbit calculations of [Re(imidazole)(CO)3(phen)]+

Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials