Dirac quantization of N-solitons

✍ Scribed by E Tomboulis; G Woo

• Publisher: Elsevier Science
• Year: 1976
• Tongue: English
• Weight: 560 KB
• Volume: 98
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(76)90234-7

✦ Synopsis

In this paper we present methods for quantizing around classical solutions containing an arbitrary number of solitons. These are based on the Dirac theory of quantization under constraints, both in its standard operator form and also its functional form as given by Faddeev. For a particular set of constraints, we obtain an effective Hamiltonian for N solitons which reduces, in the one-soliton case, to that of Gervais and Sakita. The canonical transformation from the original field variables to the new set is explicitly exhibited. * This work is supported in part through funds provided by the ERDA under Contract AT (ll-l)-3069.