论文标题
与T-Pseudo-Hermitian Pauli Hamiltonian相关的双胶异源特征器：时间逆转和Clifford代数
Bi-orthogonal eigen-spinors related to T-pseudo-Hermitian Pauli Hamiltonian : Time reversal and Clifford Algebra
论文作者
论文摘要
一组两参数双向异常的特征机是由Pauli Hamiltonian及其Hermitian Conjugate的变形伪Hermitian扩展而建造的。因此，获得的汉密尔顿人是原始的保利汉顿人的同一光谱。一对自旋投票算子已被构造为可能双向量子力学的基本要素。在伪造的伪造环境中，克莱默斯定理的类似物也从猜想的意义上推断出来。在克利福德代数CL3的框架工作中详细阐述了时间逆转和双轴性的特性，在这些框架工作中，旋转器被视为左心元素的元素，而相关的内部产生则是从导致分区环元素的不同不同方面理解的。目前的整个构造过程都基于直接和时间逆转的CL3发电机。借助纺纱厂操作员引入了Kustaanheimo-Stiefel转换的新变体。
A set of two-parameter bi-orthogonal eigen-spinors has been constructed from a deformed pseudo- Hermitian extension of Pauli Hamiltonian and its Hermitian conjugate. The Hamiltonians thus obtained are iso-spectral to the original Pauli Hamiltonian. A pair of spin-projection operators has been constructed as an essential ingredient of a possible bi-orthogonal quantum mechanics. An analogue of Kramers theorem in pseudo-Hermitian setting has also been inferred in a conjectural sense. The properties of time reversal and bi-orthogonality have been elaborated in the frame work of Clifford algebra Cl3, where the spinors have been viewed as elements of left ideal and the relevant inner-products are understood in terms of different involutions leading to elements of a division ring. The whole process of present construction is found to be based on both direct and time reversed Cl3 generators. A new variant of Kustaanheimo-Stiefel transformation has been introduced with the help of spinor operator.
