著者

Sigenobu SUNAKAWA Department of Physics Osaka University

雑誌

Progress of theoretical physics = Progress of theoretical physics (ISSN:0033068X)

巻号頁・発行日

vol.14, no.3, pp.175-197, 1955-09

被引用文献数

13

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The time-dependent theory of scattering is reformulated. In §1, it is developed on the basis of a new limiting process which is self-consistent, and the equivalence is shown of Heisenberg's S-matrix and Dyson's one, when the total Hamiltonian permits the existence of bound states. In §2, a theory of scattering of wave packet is proposed in conformity with the physical picture. The damping factor e^<-ε│t│> is derived from the amplitude of the wave packet. In §3, the rearrangement scattering is treated on the basis of the wave packet formalism.

著者

Hushimi Kodi Syozi Itiro Department of Physics Osaka University Department of Physics Osaka University

出版者

Publication Office, Progress of Theoretical Physics

雑誌

理論物理学の進歩 (ISSN:0033068X)

巻号頁・発行日

vol.5, no.2, pp.177-186, 1950-04

被引用文献数

3 33

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After the matrix method in crystal statistics was introduced by R. Kubo^(1) Kramers and Wannier^(2), and others, Onsager^(3), using the abstract algebraic method, got the exact solution in the case of plane square net. His rather complicated method was simplified by Nambu^(6) considerably. We, independenty, attained the simplification of Onsager's method and have applied to the honeycomb lattice. And the exact solution has been obtained. From this, by the so called dual transformation we can get the partition function for triangular net. The Curie point occurs at ch 2H=2 in the honeycomb lattice and at exp (4H)=3 in the triangular net. These coincide with the resnlts obtained by the dual and star-triangle transformations^(4). The specific heat becomes logarithmically infinite but the energy itself remains continuous at this temperature. In the antiferromagnetic case, the honeycomb lattice behaves similar to the former case but the triangular net exhibits no phase change.