Phase-Integral Formulas for the Regular Wave Function When There Are Turning Points Close to a Pole of the Potential

1996 ◽  
pp. 149-182
Author(s):  
Nanny Fröman ◽  
Per Olof Fröman ◽  
Staffan Linnaeus
Keyword(s):  
Wave Function ◽  
Turning Points ◽  
Regular Wave ◽  
Integral Formulas ◽  
Phase Integral

Regge-pole positions and residues calculated from phase-integral formulas

1991 ◽  
Vol 44 (7) ◽  
pp. 4203-4209 ◽  
Author(s):  
Abraham Amaha ◽  
Karl-Erik Thylwe
Keyword(s):  
Regge Pole ◽  
Integral Formulas ◽  
Phase Integral

Phase-integral treatment of transmission through an inverted Morse potential

1977 ◽  
Vol 81 (3) ◽  
pp. 463-483 ◽  
Author(s):  
Bengt Lundborg
Keyword(s):  
Wave Function ◽  
Standing Wave ◽  
Morse Potential ◽  
Order Approximation ◽  
Great Accuracy ◽  
Integral Treatment ◽  
Phase Integral ◽  
Fifth Order ◽  
Approximate Expressions ◽  
Symmetric Phase

AbstractThe transmission of a quantal particle through a barrier obtained by inverting a Morse potential is studied by means of the ‘symmetric’ phase-integral approximations introduced by N. Fröman and further developed by N. Fröman and P. O. Fröman. The calculations are performed up to the fifth-order approximation. Approximate expressions for important quantities such as transmission and reflexion coefficients, phases of the wave function and also for quantities related to the phenomenon of resonances, which may occur when the wave function is given as a standing wave, are compared to the corresponding exact quantities, and this comparison shows the great accuracy of these phase-integral approximations.

Phase-integral formulas for Coulomb wave functions with complex values of the variable and the parameters

1999 ◽  
Vol 40 (12) ◽  
pp. 6167-6177 ◽  
Author(s):  
Aleksander Dzieciol ◽  
Staffan Yngve ◽  
Per Olof Fröman
Keyword(s):  
Wave Functions ◽  
Integral Formulas ◽  
Phase Integral
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