一类无穷维Hamilton算子的谱

Spectrum of a Class of Infinite Dimensional Hamilton Operators Hamiltonian Operator

研究了一类无穷维Hamilton算子的近似点谱及本质谱.进而通过无穷维Hamilton算子内部元素的乘积的谱对整体谱进行了刻画,最后证明了结论的正确性.

In this paper the approximate point spectrum and essentiAL spectrum of a class of infinite dimensional Hamiltonian Operators are studied. The spectrum of infinite dimensional Hamilton Operators is characterized by using the spectrum of product of entries. In the end, some examples are constructed to illustrate the effectiveness of criterion.