Title 



Longtime solution of the timedependent Schrödinger equation for an atom in an electromagnetic field using complex coordinate contours
 
Author 



 
Abstract 



We demonstrate that exterior complex scaling (ECS) can be used to impose outgoing wave boundary conditions exactly on solutions of the timedependent Schrödinger equation for atoms in intense electromagnetic pulses using finite grid methods. The procedure is formally exact when applied in the appropriate gauge and is demonstrated in a calculation of highharmonic generation in which multiphoton resonances are seen for long pulse durations. However, we also demonstrate that while the application of ECS in this way is formally exact, numerical error can appear for longtime propagations that can only be controlled by extending the finite grid. A mathematical analysis of the origins of that numerical error, illustrated with an analytically solvable model, is also given.   
Language 



English
 
Source (journal) 



Physical review : A : atomic, molecular and optical physics.  Lancaster, Pa, 1990  2015  
Publication 



Lancaster, Pa : 2009
 
ISSN 



10941622 [online]
10502947 [print]
 
Volume/pages 



80:6(2009), p. 063419,1063419,12
 
ISI 



000273233800118
 
Full text (Publisher's DOI) 


  
Full text (open access) 


  
