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First-order exchange approximation

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963
It is shown that when the Born approximation is applied to rearrangement collisions in the customary way, terms of the first order in the interaction energy between the colliding particles are omitted from the exchange scattering amplitude.
K. L. Bell, B. L. Moiseiwitsch
openaire   +3 more sources

The Heisenberg ferromagnet with higher-order exchange [PDF]

open access: possibleJournal of Physics C: Solid State Physics, 1979
The authors investigate the properties of ferromagnetic spin systems with higher-order exchange interactions, in particular with four-spin terms of the form (Si.Sj)(Sk.Sl) and (Si.Sj)(Sj.Sk). Using the Green function equation of motion method, and simple decoupling approximations, they obtain renormalised spin-wave energies, magnetisation curves, and ...
Joan Adler, Jaan Oitmaa
openaire   +2 more sources

Order Exchange Key in Data Encryption

2012
This Paper presents a new data encryption conception and algorithm. Generally the method of encryption is fixed and different key gets different encryption result. In this paper, one general data encryption key DK is used, and from the DK key we can get another key MK which is used to change the encryption method.
Mo Hong Fei, Fan Jing, Li Hong Lian
openaire   +3 more sources

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