四维PT-对称非调和模型中容许矩阵元区域的确定
Determination of the domain of the admissible matrix elements in the four-dimensional PT-symmetric anharmonic model
摘要:
许多明显非厄米哈密顿(典型的是PT对称复非谐振子)拥有严格实的、“物理的”束缚态谱。这意味着它们相对于一个合适的非标准度量是(准)厄米特的。域D的存在,这个度量的研究在这里为一个非平凡的,但仍然是非数值的四参数“基准”矩阵模型。
英文摘要:
Many manifestly non-Hermitian Hamiltonians (typically, PT-symmetric complex anharmonic oscillators) possess a strictly real, "physical" bound-state spectrum. This means that they are (quasi-)Hermitian with respect to a suitable non-standard metric. The domain D of the existence of this metric is studied here for a nontrivial though still non-numerical four-parametric "benchmark" matrix model.
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