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arXiv 1006.3596math-phmath.MP
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SPPS形式周期Dirac方程的Bloch解

Bloch Solutions of Periodic Dirac Equations in SPPS Form

K. V. Khmelnytskaya, H. C. Rosu

摘要:

利用Kravchenko(2008,2009)提出的谱参数幂级数(SPPS),给出了周期Dirac方程的拟周期解的表示.利用Dirac Hill判别式的SPPS形式给出了Dirac Hill判别式在Darboux无节点变换下的SPPS形式,并将所得结果应用于Razavy的一个拟精确可解周期势

英文摘要:

We provide the representation of quasi-periodic solutions of periodic Dirac equations in terms of the spectral parameter power series (SPPS) recently introduced by V.V. Kravchenko (2008,2009). We also give the SPPS form of the Dirac Hill discriminant under the Darboux nodeless transformation using the SPPS form of the discriminant and apply the results to one of Razavy's quasi-exactly solvable periodic potentials

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