We introduce new coherent states and use them to prove semi-classical estimates for Schr\"odinger operators with regular potentials. This can be further applied to the Thomas-Fermi potential yielding a new proof of the Scott correction for molecules. This is the short version of a paper by the authors archived at math-ph/0208044
Coherent states are special types of wavefunctions that minimize a generalized uncertainty principle...
The idea of coherent states was suggested in QED in the middle of 1960's and in QCD at the end of th...
General sets of coherent states are constructed for quantum systems admitting a nondegenerate infini...
We introduce new coherent states and use them to prove semi-classical estimates for Schr\"o...
We prove the first correction to the leading Thomas-Fermi energy for the ground state energy of atom...
This article is part of a special issue of Journal of Physics A: Mathematical andTheoretical devoted...
The Quantum coherent states were established under the bases of the quantum laws of the nature. Thes...
International audienceWe present a construction of semi-classical states for Pöschl-Teller potential...
We extend recent results on expectation values of coherent oscillator states and SU(2) coherent stat...
Mentrup D, Schnack J. Nosé-Hoover dynamics for coherent states. Physica A. 2001;297:337
We consider relativistic many-particle operators which – according to Brown and Ravenhall – describe...
In the preceding paper of this series of articles we established peakedness properties of a family o...
We construct generalized coherent states for the one-dimensional double-well potential and calculate...
We present a construction of semi-classical states for Pöschl-Teller potentials based on a supersym...
This article investigates properties of semiclassical Gauge Field Theory Coherent States for general...
Coherent states are special types of wavefunctions that minimize a generalized uncertainty principle...
The idea of coherent states was suggested in QED in the middle of 1960's and in QCD at the end of th...
General sets of coherent states are constructed for quantum systems admitting a nondegenerate infini...
We introduce new coherent states and use them to prove semi-classical estimates for Schr\"o...
We prove the first correction to the leading Thomas-Fermi energy for the ground state energy of atom...
This article is part of a special issue of Journal of Physics A: Mathematical andTheoretical devoted...
The Quantum coherent states were established under the bases of the quantum laws of the nature. Thes...
International audienceWe present a construction of semi-classical states for Pöschl-Teller potential...
We extend recent results on expectation values of coherent oscillator states and SU(2) coherent stat...
Mentrup D, Schnack J. Nosé-Hoover dynamics for coherent states. Physica A. 2001;297:337
We consider relativistic many-particle operators which – according to Brown and Ravenhall – describe...
In the preceding paper of this series of articles we established peakedness properties of a family o...
We construct generalized coherent states for the one-dimensional double-well potential and calculate...
We present a construction of semi-classical states for Pöschl-Teller potentials based on a supersym...
This article investigates properties of semiclassical Gauge Field Theory Coherent States for general...
Coherent states are special types of wavefunctions that minimize a generalized uncertainty principle...
The idea of coherent states was suggested in QED in the middle of 1960's and in QCD at the end of th...
General sets of coherent states are constructed for quantum systems admitting a nondegenerate infini...