Phase Loss in WKB Waves Due to Reflection by a Potential

H. Friedrich; J. Trost

doi:10.1103/PhysRevLett.76.4869

Phase Loss in WKB Waves Due to Reflection by a Potential

H. Friedrich
, J. Trost

School Office of the TUM School of Natural Sciences

Technical University of Munich

Research output: Contribution to journal › Article › peer-review

69 Scopus citations

Abstract

We study the WKB method away from the short-wave limit. Incorporating the correct phase loss due to reflection at a classical turning point, in place of the usual choice π/2, can greatly improve the accuracy of the WKB wave function in the classically allowed region. For a repulsive 1/x² potential this leads to far more accurate WKB wave functions that the usual Langer modification of the potential.

Original language	English
Pages (from-to)	4869-4873
Number of pages	5
Journal	Physical Review Letters
Volume	76
Issue number	26
DOIs	https://doi.org/10.1103/PhysRevLett.76.4869
State	Published - 1996

Access to Document

10.1103/PhysRevLett.76.4869

Cite this

@article{51d7d2bfd25a43abaca92e1a4aad8cf3,

title = "Phase Loss in WKB Waves Due to Reflection by a Potential",

abstract = "We study the WKB method away from the short-wave limit. Incorporating the correct phase loss due to reflection at a classical turning point, in place of the usual choice π/2, can greatly improve the accuracy of the WKB wave function in the classically allowed region. For a repulsive 1/x2 potential this leads to far more accurate WKB wave functions that the usual Langer modification of the potential.",

author = "H. Friedrich and J. Trost",

year = "1996",

doi = "10.1103/PhysRevLett.76.4869",

language = "English",

volume = "76",

pages = "4869--4873",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "26",

}

TY - JOUR

T1 - Phase Loss in WKB Waves Due to Reflection by a Potential

AU - Friedrich, H.

AU - Trost, J.

PY - 1996

Y1 - 1996

N2 - We study the WKB method away from the short-wave limit. Incorporating the correct phase loss due to reflection at a classical turning point, in place of the usual choice π/2, can greatly improve the accuracy of the WKB wave function in the classically allowed region. For a repulsive 1/x2 potential this leads to far more accurate WKB wave functions that the usual Langer modification of the potential.

AB - We study the WKB method away from the short-wave limit. Incorporating the correct phase loss due to reflection at a classical turning point, in place of the usual choice π/2, can greatly improve the accuracy of the WKB wave function in the classically allowed region. For a repulsive 1/x2 potential this leads to far more accurate WKB wave functions that the usual Langer modification of the potential.

UR - https://www.scopus.com/pages/publications/4243608789

U2 - 10.1103/PhysRevLett.76.4869

DO - 10.1103/PhysRevLett.76.4869

M3 - Article

AN - SCOPUS:4243608789

SN - 0031-9007

VL - 76

SP - 4869

EP - 4873

JO - Physical Review Letters

JF - Physical Review Letters

IS - 26

ER -

Phase Loss in WKB Waves Due to Reflection by a Potential

Abstract

Access to Document

Other files and links

Fingerprint

Cite this