Solutions of the Bethe-Salpeter Equation : the Case of P_μ=0, general L

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概要

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• The solutions of the scalar ladder model of the Bethe-Salpeter equation are obtained for the case of P_μ=0 but of general L (magnitude of Lorentz angular momentum). The solutions are obtained in a form of a single dispersion integral of superconvergent type, the absorptive part of which can be expressed as a rapidly convergent power series in λ, the coupling constant. The eigenvalues λ_L's are determined as the zeros of an entire function for each L. The asymptotic form of the solutions is clarified. Numerical results are obtained for L=0 and for the ground and the first excited states and compared with that of zur Linden.

• 理論物理学刊行会の論文
• 1971-09-25

著者

• Aotsuka Tsuyoshi

  Department Of Physics Kyoto University

• MUNAKATA Yasuo

  Department of Physics, Kyoto University

• Munakata Yasuo

  Department Of Physics Kyoto University

• AOTSUKA Tsuyoshi

  Department of Physics, Kyoto University

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• Some Remarks on Lee's Model in Renormalizable Field Theory
• A Solvable Composite System in Relativistic Quantum Mechanics : Particles and Fields
• Quantum Field Theory with Indefinite Metric
• Eigenvalues of the Bethe-Salpeter Equation
• Solutions of the Bethe-Salpeter Equation : the Case of P_μ=0, general L

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