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
• DOI: 10.1016/0003-4916(78)90185-9

✦ 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.