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Lower bounds for the eigenvalues of the Dirac operator

✍ Scribed by Oussama Hijazi


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
427 KB
Volume
16
Category
Article
ISSN
0393-0440

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For bounded potentials which behave like &cx &# at infinity we investigate whether discrete eigenvalues of the radial Dirac operator H } accumulate at +1 or not. It is well known that #=2 is the critical exponent. We show that c=1Γ‚8+ }(}+1)Γ‚2 is the critical coupling constant in the case #=2. Our ap