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Geometric phase for mixed states: a differential geometric approach

โœ Scribed by S. Chaturvedi; E. Ercolessi; G. Marmo; G. Morandi; N. Mukunda; R. Simon


Book ID
111625946
Publisher
Springer-Verlag
Year
2004
Tongue
English
Weight
194 KB
Volume
35
Category
Article
ISSN
1434-6044

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We consider the problem u + u p + u q = 0, in R N 0 < u(x) โ†’ 0 as |x| โ†’ +โˆž, where 1 < p < (N + 2)/(N -2) < q. We prove that if q is fixed and we let p approach (N + 2)/(N -2) from below, then this problem has a large number of radial solutions. A similar fact takes place if we fix p > N/(N -2) and t