Construction of the metric and equivalent Hermitian Hamiltonian via SUSY transformation operators

Shamshutdinova V.V.

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Construction of the metric and equivalent Hermitian Hamiltonian via SUSY transformation operators

机译：通过SUSY变换算符构造公制和等效厄米哈密顿量

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The metric operator, which is the basic ingredient for studying a quantum system described by a pseudo-Hermitian Hamiltonian, provides the necessary means for obtaining an equivalent description of the system using a Hermitian Hamiltonian. In the framework of supersymmetric quantum mechanics, we propose a method of constructing the metric operator and to obtain the Hermitian Hamiltonian equivalent to the given pseudo-Hermitian.

机译：度量运算符是研究伪-Hermitian哈密顿量描述的量子系统的基本要素，它提供了使用Hermitian哈密顿量获得系统等效描述的必要手段。在超对称量子力学的框架下，我们提出了一种构造度量算子的方法，并获得了与给定伪Hermitian等效的Hermitian哈密顿量。

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《Physics of atomic nuclei》 |2012年第10期|共5页
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Shamshutdinova V.V.;
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正文语种 eng
中图分类原子物理学;
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1. Construction of the metric and equivalent Hermitian Hamiltonian via SUSY transformation operators [J] . Shamshutdinova V.V. Physics of atomic nuclei . 2012,第10期

机译：通过SUSY变换算符构造公制和等效厄米哈密顿量
2. Spectral singularities of non-Hermitian Hamiltonians and SUSY transformations [J] . Samsonov BF Journal of Physics, A. Mathematical and General: A Europhysics Journal . 2005,第34期

机译：非埃尔米特哈密顿量和SUSY变换的谱奇点
3. Metric operators for non-Hermitian quadratic su(2) Hamiltonians [J] . Assis P.E.G. Journal of physics, A. Mathematical and theoretical . 2011,第26期

机译：非Hermitian二次su（2）哈密顿量的度量运算符
4. Coherent states for SUSY partner Hamiltonians [C] . David J. Fernandez C., Oscar Rosas-Ortiz, Veronique Hussin International Symposium on Quantum Theory and Symmetries . 2009

机译：Susy Partner Hamiltonians的连贯状态
5. Unitary and Hermitian fractional operators and their extensions: Fractional Mellin transform, joint fractional representations and fractional correlations. [D] . Akay, Olcay. 2000

机译：ary和Hermitian分数算子及其扩展：分数Mellin变换，联合分数表示和分数相关。
6. On a Class of Hermitian Transformations Containing Self-Adjoint Differential Operators [O] . Hans Ludwig Hamburger 1945

机译：一类包含自伴微分算子的Hermitian变换
7. Metric operators for quasi-Hermitian Hamiltonians and symmetries of equivalent Hermitian Hamiltonians [O] . Ali Mostafazadeh 2012

机译：拟Hermitian哈密顿量的度量算子和等效Hermitian哈密顿量的对称性

Construction of the metric and equivalent Hermitian Hamiltonian via SUSY transformation operators

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