Supplementary conditions in quantized linear systems

J. K. Percus

Research output: Contribution to journalArticle


A scalar product formalism is presented for the commutation relations and quadratic constants of the motion of a linear system. The modification of commutation relations necessitated by a supplementary operator condition is obtained by means of a projection operation, for which several computational methods are developed; some simple applications are discussed. The foregoing analysis is extended to a sequence of supplementary conditions; it is then applied to quantization of the integral-spin real-meson field.

Original languageEnglish (US)
Pages (from-to)1406-1413
Number of pages8
JournalPhysical Review
Issue number5
StatePublished - Dec 1 1955


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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