Similarity transformation in PT-symmetry: limitations

Similarity transformation in PT-symmetry: limitations
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PT 对称性中的相似变换:局限性

DOI:
10.15406/oajmtp.2018.01.00028
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发表时间:
2018
期刊:
Open Access Journal of Mathematical and Theoretical Physics
影响因子:
--
通讯作者:
B. Rath
B. Rath
中科院分区:
--
文献类型:
--
作者:
B. Rath

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Remains invariant. In order to co-relate real spectra with operator, Mostafazadeh3,4 proposed the word pseudo-hermitisity and introduced the condition (3) According to author2 all  -invariant operators satisfying above condition must possess real iso-spectra with the parent operator. 3‒6 In other words real iso-spectra nature exists between H and h. The condition proposed in Eq(2) is that Ω must be a bounded one. In order to justify that author3,4 showed that unbound operator Ω will lead non-iso-spectral behaviour.3,4 The example proposed by the author3,4 is as follows (4)