Swart, T. and Rousse, V. (2009) A Mathematical Justification for the HermanKluk Propagator. Comm. Math. Phys., 286 (2). pp. 725750.

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Official URL: http://dx.doi.org/10.1007/s0022000806814
Abstract
A class of Fourier Integral Operators which converge to the unitary group of the Schrödinger equation in the semiclassical limit ε → 0 in the uniform operator norm is constructed. The convergence allows for an error bound of order O(ε), which can be improved to arbitrary order in ε upon the introduction of corrections in the symbol. On the Ehrenfesttimescale, the result holds with a slightly weaker error bound. In the chemical literature the approximation is known as the HermanKluk propagator.
Item Type:  Article 

Subjects:  Physical Sciences > Physics > Mathematical & Theoretical Physics > Quantum Mechanics 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics 
ID Code:  898 
Deposited By:  Burkhard Schmidt 
Deposited On:  29 Apr 2010 07:30 
Last Modified:  03 Mar 2017 14:40 
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