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Crossover behavior of the nonlinear σ-model with quadratically broken symmetry: Daniel J. Amit and Yadin Y. Goldschmidt, Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem, Israel and Luca Peliti, Istituto di Fisica and G.N.S.M.-CNR, Unita di Roma, Rome, Italy


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
73 KB
Volume
115
Category
Article
ISSN
0003-4916

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✦ Synopsis


In a paper published by Langer in 1949 it was shown that the eigenvalues X of a rotating harmonic oscillator, containing a parameter oi < 1, are given by the formula X = v + O(a In cc), where v is an integer. In the present paper it is shown that Langer's estimate is too rough; the correct formula is h = v + I(1 + 1)~ + higher powers of N.