NDLI: Doubly uniform semiclassical quantization formula for resonances

Content Provider	Springer Nature Link
Author	Jakusjina Linnæus, I. Thylwe, K. E.
Copyright Year	2009
Abstract	The radial Schrödinger equation with an effective potential containing a single well and a single barrier is treated with an improved uniform semiclassical method. The improved quantization formula for complex energies (or resonances) contains a correction term that originates from a uniform treatment of the classically forbidden region near the origin in addition to the more familiar uniform treatment of the barrier region. In the present case the origin has a second-order pole, due to the centrifugal barrier potential term, and/or a Coulomb-type singularity, and these terms dominate the region inside the innermost classical turning point. Numerical results for first-order and third-order approximate complex resonance energies are compared with those of a standard (first- and third-order) barrier-uniform semiclassical method and also with those of ‘exact’ numerical computations. The improved quantization formula provides results in significantly better agreement with the exact results as the angular momentum quantum number l approaches zero.
Starting Page	283
Ending Page	288
Page Count	6
File Format	PDF
ISSN	14346060
Journal	The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics
Volume Number	53
Issue Number	3
e-ISSN	14346079
Language	English
Publisher	Springer-Verlag
Publisher Date	2009-05-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Solid State Physics and Spectroscopy Complexity Quantum Computing, Information and Physics Quantum Physics Nanotechnology Atoms, Molecules, Clusters and Plasmas
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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