Geometrically induced spectrum of the schrödinger operator
Other Title(s)
الطيف المستحث هندسيا لمؤثرات شرودنجر
Author
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 7, Issue 0 (30 Nov. 2008), pp.1-10, 10 p.
Publisher
University of Bahrain College of Science
Publication Date
2008-11-30
Country of Publication
Bahrain
No. of Pages
10
Main Subjects
Topics
- Geometry
- Mathematics
- Spectrometers
- Optics
- Light
- Quantum theory
- Analytical chemistry
- Partial differential equations
- Absorption spectra
- Schrodinger equation
Abstract AR
في هذا البحث تم عرض بعض النتائج الحديثة و الجديدة المتعلقة لطيف المؤثرات في وجود شروط حدية على منحنى معطى في المستوى (x, y).
و وجد أن طبيعة هندسة المنحنى تؤثر على الطيف، و نوقشت الأوضاع في ظل وجود شروط مثل (1) وجود انعاث في الفترة(2) [-c² / 4∞), وجود قيم مميزة منفصلة في الفترة [-∞, - c² / 4)، و الهدف من ذلك هو تقديم بعض المشاكل الفنية في البحوث السابقة.
Abstract EN
New and recent results concerning the spectrum of the operator with a boundary condition on a given curve in the (x,y)-plane are presented.
The geometry of the curve influences the nature of the spectrum, and the situations discussed are (i) there is a spectral interval [-c 2/ 4, ∞), (ii) there are discrete eigenvalues in [-∞, -c 2 /4).
The aim is to present material which avoids some of the technicalities in the literature.
American Psychological Association (APA)
Eastham, Michael S. P.. 2008. Geometrically induced spectrum of the schrödinger operator. Arab Journal of Basic and Applied Sciences،Vol. 7, no. 0, pp.1-10.
https://search.emarefa.net/detail/BIM-63961
Modern Language Association (MLA)
Eastham, Michael S. P.. Geometrically induced spectrum of the schrödinger operator. Arab Journal of Basic and Applied Sciences Vol. 7 (Nov. 2008), pp.1-10.
https://search.emarefa.net/detail/BIM-63961
American Medical Association (AMA)
Eastham, Michael S. P.. Geometrically induced spectrum of the schrödinger operator. Arab Journal of Basic and Applied Sciences. 2008. Vol. 7, no. 0, pp.1-10.
https://search.emarefa.net/detail/BIM-63961
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 9
Record ID
BIM-63961
