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A set of two-parameter bi-orthogonal eigen-spinors has been constructed froma deformed pseudo- Hermitian extension of Pauli Hamiltonian and its Hermitianconjugate. The Hamiltonians thus obtained are iso-spectral to the originalPauli Hamiltonian. A pair of spin-projection operators has been constructed asan essential ingredient of a possible bi-orthogonal quantum mechanics. Ananalogue of Kramers theorem in pseudo-Hermitian setting has also been inferredin a conjectural sense. The properties of time reversal and bi-orthogonalityhave been elaborated in the frame work of Clifford algebra Cl3, where thespinors have been viewed as elements of left ideal and the relevantinner-products are understood in terms of different involutions leading toelements of a division ring. The whole process of present construction is foundto be based on both direct and time reversed Cl3 generators. A new variant ofKustaanheimo-Stiefel transformation has been introduced with the help of spinoroperator.

Bi-orthogonal eigen-spinors related to T-pseudo-Hermitian Pauli Hamiltonian : Time reversal and Clifford Algebra