MOMENTUM AND HAMILTONIAN IN COMPLEX ACTION THEORY

DOI DOI DOI Web Site 被引用文献3件 参考文献20件 オープンアクセス
  • KEIICHI NAGAO
    Faculty of Education, Ibaraki University, Bunkyo 2-1-1, Mito 310-8512, Japan
  • HOLGER BECH NIELSEN
    Niels Bohr Institute, University of Copenhagen, 17 Blegdamsvej, 2100 Copenhagen ϕ, Denmark

書誌事項

公開日
2012-05-27
資源種別
journal article
DOI
  • 10.1142/s0217751x12500765
  • 10.48550/arxiv.1105.1294
  • 10.1142/s0217751x12500765;
公開者
World Scientific Pub Co Pte Lt

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説明

<jats:p> In the complex action theory (CAT) we explicitly examine how the momentum and Hamiltonian are defined from the Feynman path integral (FPI) point of view based on the complex coordinate formalism of our foregoing paper. After reviewing the formalism briefly, we describe in FPI with a Lagrangian the time development of a ξ-parametrized wave function, which is a solution to an eigenvalue problem of a momentum operator. Solving this eigenvalue problem, we derive the momentum and Hamiltonian. Oppositely, starting from the Hamiltonian we derive the Lagrangian in FPI, and we are led to the momentum relation again via the saddle point for p. This study confirms that the momentum and Hamiltonian in the CAT have the same forms as those in the real action theory. We also show the third derivation of the momentum relation via the saddle point for q. </jats:p>

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