Large order dimensional perturbation theory for complex energy eigenvalues

1993 ◽  
Vol 99 (10) ◽  
pp. 7739-7747 ◽  
Author(s):  
Timothy C. Germann ◽  
Sabre Kais
Keyword(s):  
Perturbation Theory ◽  
Complex Energy ◽  
Energy Eigenvalues ◽  
Large Order ◽  
Dimensional Perturbation Theory

Large-order dimensional perturbation theory for diatomic molecules within the Born-Oppenheimer approximation

1998 ◽  
Vol 58 (1) ◽  
pp. 250-257 ◽  
Author(s):  
Shi-Wei Huang ◽  
David Z. Goodson ◽  
Mario López-Cabrera ◽  
Timothy C. Germann
Keyword(s):  
Perturbation Theory ◽  
Diatomic Molecules ◽  
Large Order ◽  
Oppenheimer Approximation ◽  
Dimensional Perturbation Theory

Large-order dimensional perturbation theory forH2+

1992 ◽  
Vol 68 (13) ◽  
pp. 1992-1995 ◽  
Author(s):  
M. López-Cabrera ◽  
D. Z. Goodson ◽  
D. R. Herschbach ◽  
J. D. Morgani
Keyword(s):  
Perturbation Theory ◽  
Large Order ◽  
Dimensional Perturbation Theory

Large‐order dimensional perturbation theory for two‐electron atoms

1992 ◽  
Vol 97 (11) ◽  
pp. 8481-8496 ◽  
Author(s):  
D. Z. Goodson ◽  
M. López‐Cabrera ◽  
D. R. Herschbach ◽  
John D. Morgan
Keyword(s):  
Perturbation Theory ◽  
Large Order ◽  
Dimensional Perturbation Theory

Solution of the Dirac Equation for the Rectilinear Periodic Motion of an Electron

1969 ◽  
Vol 24 (3) ◽  
pp. 344-349
Author(s):  
A. D. Jannussis
Keyword(s):  
Perturbation Theory ◽  
Dirac Equation ◽  
Periodic Motion ◽  
Periodic Potential ◽  
Bragg Reflection ◽  
Wave Number ◽  
Periodic Functions ◽  
Energy Bands ◽  
Energy Eigenvalues ◽  
The Hill

AbstractIn this paper the Dirac equation for a rectilinear onedimensional periodic potential is treated. It is shown that the energy eigenvalues are periodic functions of the wave number Kϰ and the continuous spectrum is split into energy bands. The end points of the energy bands are the points where the Bragg reflection takes place. These results are obtained by perturbation theory, as well as by the method of determinants, since the resulting eigenvalue equation has the form of a determinant which is similar to the Hill determinant.

X. Large order estimates in perturbation theory

1979 ◽  
Vol 49 (2) ◽  
pp. 205-213 ◽  
Author(s):  
J. Zinn-Justin
Keyword(s):  
Perturbation Theory ◽  
Large Order
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