Exact results for models of multichannel quantum nonadiabatic transitions [electronic resource]

Quantum Nonadiabatic Transitions.

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Bibliographic Details
Online Access: Online Access
Corporate Author: Los Alamos National Laboratory (Researcher)
Format: Government Document Electronic eBook
Language:English
Published: Washington, D.C. : Oak Ridge, Tenn. : United States. Department of Energy. ; distributed by the Office of Scientific and Technical Information, U.S. Department of Energy, 2014.
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MARC

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245 0 0 |a Exact results for models of multichannel quantum nonadiabatic transitions  |h [electronic resource] 
260 |a Washington, D.C. :  |b United States. Department of Energy. ;  |a Oak Ridge, Tenn. :  |b distributed by the Office of Scientific and Technical Information, U.S. Department of Energy,  |c 2014. 
300 |a Article No. 062509 :  |b digital, PDF file. 
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500 |a 12/11/2014. 
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500 |a Physical Review. A 90 6 ISSN 1050-2947; PLRAAN AM. 
500 |a Sinitsyn, N. A. 
520 3 |a We consider nonadiabatic transitions in explicitly time-dependent systems with Hamiltonians of the form Hˆ(t)=Aˆ+Bˆt+Cˆ/t, where t is time and Aˆ,Bˆ,Cˆ are Hermitian N × N matrices. We show that in any model of this type, scattering matrix elements satisfy nontrivial exact constraints that follow from the absence of the Stokes phenomenon for solutions with specific conditions at t→–∞. This allows one to continue such solutions analytically to t→+∞, and connect their asymptotic behavior at t→–∞ and t→+∞. This property becomes particularly useful when a model shows additional discrete symmetries. Specifically, we derive a number of simple exact constraints and explicit expressions for scattering probabilities in such systems. 
520 0 |a Quantum Nonadiabatic Transitions. 
536 |b AC52-06NA25396. 
650 7 |a Classical And Quantum Mechanics, General Physics.  |2 edbsc. 
710 2 |a Los Alamos National Laboratory.  |4 res. 
710 1 |a United States.  |b Department of Energy.  |4 spn. 
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