Equations describing coherent and partially coherent multilevel molecular excitation induced by pulsed Raman transitions: III

Technical Report · Wed Feb 18 00:00:00 EST 1987

DOI:https://doi.org/10.2172/6460116· OSTI ID:6460116

Shore, B W; Sacks, R; Karr, T

This memo discusses the equations of motion used to describe multilevel molecular excitation induced by Raman transitions. These equations are based upon the time-dependent Schroedinger equation expressed in a basis of molecular energy states. A partition of these states is made into two sets, those that are far from resonance (and hence unpopulated) and those that are close to resonance, either by one-photon transition or two-photon (Raman) processes. By adiabatic elimination an effective Schroedinger equation is obtained for the resonance states alone. The effective Hamiltonian is expressible in terms of a polarizibility operator.

• Research Organization: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6460116
• Report Number(s): UCID-21004; ON: DE87012310
• Resource Relation: Other Information: Portions of this document are illegible in microfiche products. Original copy available until stock is exhausted
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
RAMAN EFFECT
MOLECULAR MODELS
EQUATIONS OF MOTION
EXCITATION
HAMILTONIANS
MULTI-PHOTON PROCESSES
DIFFERENTIAL EQUATIONS
ENERGY-LEVEL TRANSITIONS
EQUATIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
640302* - Atomic
Molecular & Chemical Physics- Atomic & Molecular Properties & Theory