TY - JOUR
T1 - WKB and exact wave functions for inverse power-law potentials
AU - Trost, J.
AU - Friedrich, H.
N1 - Funding Information:
* This work was supported by the Deutsche Forschungsgemein-schaft, AZ: Fr 591/6-l. ’ E-mail: [email protected].
PY - 1997/4/7
Y1 - 1997/4/7
N2 - We compare WKB and exact wave functions for inverse power-law potentials and derive a universal algebraic formula reproducing reflection phases and scattering phase shifts with uniform high accuracy for any wave length. Appropriately modified quantization gives competitive accuracy for the spiked harmonic oscillator. The asymptotic accuracy of WKB wave functions is discussed.
AB - We compare WKB and exact wave functions for inverse power-law potentials and derive a universal algebraic formula reproducing reflection phases and scattering phase shifts with uniform high accuracy for any wave length. Appropriately modified quantization gives competitive accuracy for the spiked harmonic oscillator. The asymptotic accuracy of WKB wave functions is discussed.
KW - Modified WKB approximation
KW - Reflection phases
KW - Scattering phase shifts
KW - Singular potentials
UR - http://www.scopus.com/inward/record.url?scp=0346047375&partnerID=8YFLogxK
U2 - 10.1016/S0375-9601(97)00115-1
DO - 10.1016/S0375-9601(97)00115-1
M3 - Article
AN - SCOPUS:0346047375
SN - 0375-9601
VL - 228
SP - 127
EP - 133
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 3
ER -