Zobrazeno 1 - 10
of 173
pro vyhledávání: '"Hagedorn, George A."'
Autor:
Hagedorn, George A., Lasser, Caroline
We investigate the iterated Kronecker product of a square matrix with itself and prove an invariance property for symmetric subspaces. This motivates the definition of an iterated symmetric Kronecker product and the derivation of an explicit formula
Externí odkaz:
http://arxiv.org/abs/1603.04284
Autor:
Hagedorn, George A.
We present a simple formula for the generating function for the polynomials in the $d$--dimensional semiclassical wave packets. We then use this formula to prove the associated Rodrigues formula.
Comment: corrected four more typos
Comment: corrected four more typos
Externí odkaz:
http://arxiv.org/abs/1505.06534
Autor:
Hagedorn, George A., Valeev, Edward F.
We construct explicit bound state wave functions and bound state energies for certain $N$--body Hamiltonians in one dimension that are analogous to $N$--electron Hamiltonians for (three-dimensional) atoms and monatomic ions.
Comment: This paper
Comment: This paper
Externí odkaz:
http://arxiv.org/abs/1404.5987
Autor:
Hagedorn, George A.
Although real, normalized Gaussian wave packets minimize the product of position and momentum uncertainties, generic complex normalized Gaussian wave packets do not. We prove they minimize an alternative product of uncertainties that correspond to va
Externí odkaz:
http://arxiv.org/abs/1301.5956
Autor:
Elgart, Alexander, Hagedorn, George A.
We derive a nearly optimal upper bound on the running time in the adiabatic theorem for a switching family of Hamiltonians. We assume the switching Hamiltonian is in the Gevrey class $G^\alpha$ as a function of time, and we show that the error in adi
Externí odkaz:
http://arxiv.org/abs/1204.2318
We study the time behavior of wave functions involved in tunneling through a smooth potential barrier in one dimension in the semiclassical limit. We determine the leading order component of the wave function that tunnels. It is exponentially small i
Externí odkaz:
http://arxiv.org/abs/1003.3280
Autor:
Elgart, Alexander, Hagedorn, George
We prove a robust extension of the quantum adiabatic theorem. The theorem applies to systems that have resonances instead of bound states, and to systems for which just an approximation to a bound state is known. To demonstrate the theorem's usefulne
Externí odkaz:
http://arxiv.org/abs/1002.1741
Autor:
Hagedorn, George A., Joye, Alain
We propose an alternative to the usual time--independent Born--Oppenheimer approximation that is specifically designed to describe molecules with non--symmetrical hydrogen bonds. In our approach, the masses of the hydrogen nuclei are scaled different
Externí odkaz:
http://arxiv.org/abs/0805.4526
Autor:
Hagedorn, George A., Joye, Alain
We propose an alternative to the usual time--independent Born--Oppenheimer approximation that is specifically designed to describe molecules with symmetrical Hydrogen bonds. In our approach, the masses of the Hydrogen nuclei are scaled differently fr
Externí odkaz:
http://arxiv.org/abs/math-ph/0607056