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✦   LIBER   ✦

Classically solvable field theory model: Fernando Lund, The Institute for Advanced Study, Olde Lane, Princeton, New Jersey 08540

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.

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Consider -A + XV with V short range at a value &, where some eigenvalue e(h) -0 as X L h, ' We analyze two questions: (i) What is the leading order of e(h), i.e., for what 4 does e(X) N c(X-&,)a? (ii) Is e(X) analytic at X = &, and, if not, what is the natural expansion parameter? The results are hi