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Some studies on quantum equivalents of non-commutative operators via commutating eigenvalue relation: PT-symmetry
arXiv
Authors: Biswanath Rath
Year
2015
Paper ID
4520
Status
Preprint
Abstract Read
~2 min
Abstract Words
77
Citations
N/A
Abstract
We study quantum equivalents of non-commutative operators in quantum mechanics. Any matrix "B" satisfying the non-commuting relation [A,B]neq 0 with "A", can be used via B-1 AB to reproduce eigenvalues of "A". This universality relation is also equally valid for any matrix in any branch of physical or social science and also any operator involving co-ordinate(x) or momentum(p). Pictorially this is represented in fig. 1. Many interesting models including logarithmic potential have been considered.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We study quantum equivalents of non-commutative operators in quantum mechanics.
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