TWO PARTICLE STATES IN A BOX AND THE S-MATRIX IN MULTI-CHANNEL SCATTERING
نویسندگان
چکیده
منابع مشابه
Two Particle States and the S-matrix Elements in Multi-channel Scattering
Using a quantum mechanical model, the exact energy eigenstates for two-particle two-channel scattering are studied in a cubic box with periodic boundary conditions in all three directions. A relation between the exact energy eigenvalue in the box and the two-channel S-matrix elements in the continuum is obtained. This result can be viewed as a generalization of the well-known Lüscher’s formula ...
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15 صفحه اولTwo Particle States in an Asymmetric Box
We establish the relation between the exact energy of a two particle state in an asymmetric rectangular box with the elastic scattering phase shift of the two particle in the continuum. In particular, we obtain a formula which relates the elastic scattering length with the energy shift of the two particle in an asymmetric box. This can be viewed as a generalization of the corresponding formula ...
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The exact two-particle energy eigenstates in a generic asymmetric rectangular box with periodic boundary conditions in all three directions are studied. Their relation with the elastic scattering phases of the two particles in the continuum are obtained for both D4 and D2 symmetry. These results can be viewed as a generalization of the corresponding formulae in a cubic box obtained by Lüscher b...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 2006
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x06032150