  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.
