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Functional relations and Bethe Ansatz for the open XXZ chain
Functional relations Bethe Ansatz XXZ chain
2015/3/19
Functional relations and Bethe Ansatz for the open XXZ chain.
On functional relations for the alternating analogues of Tornheim's double zeta function
Tornheim's double zeta function
2010/11/18
We give two functional relations for the alternating analogues of Tornheim's double zeta function. Using the functional relations, we give new proofs of some evaluation formulas found by H. Tsumura fo...
Functional relations for the six vertex model with domain wall boundary conditions
Functional relations six vertex model domain wall boundary
2010/4/2
In this work we demonstrate that the Yang-Baxter algebra can also be employed in order to derive a functional relation for the partition function of the six vertex model with domain wall boundary cond...
On Some Approximate Functional Relations Stemming from Orthogonality Preserving Property
Orthogonality preserving mappings Right-angle preserving mappings Preservation of the inner product Stability of functional equations
2008/6/27
Referring to previous papers on orthogonality preserving mappings we deal with some relations, connected with orthogonality, which are preserved exactly or approximately. In particular, we investigate...
Schrödinger Equation Solutions for small r and resulting Functional Relations
Schrö dinger equation Bessel equation Airy functions Associated Laguerre functions
2010/4/15
The Schrödinger equation is examined for small r (i.e. one step beyond the limit r \rightarrow 0) for the cases V(r) \rightarrow rk, (k>0), and V(r) \rightarrow r-k (0 In both cases the sol...