This article illustrates that when we get the formula of _i&_j from canonical commutation rules _i,_j=iδ_(ij),we must take into account at the same time the Hermiticity of _j.

Even the hermiticity requirement is considered,various ordering schemes may still lead to different numerical results.

The emphasis is placed on the exact definition of momentum variables and the general expression of momentum operators, and the importance of the additional divergence term in this expression to ensuring their hermiticity is demonstrated.

The problem of finding stabilizer quantum-error-correcting codes can be transformed into the problem of finding classical self-orthogonal linear codes over the Galois field GF(4) under a Hermitian inner product.

Why dynamical variables should be represented by Hermitian operators in quantum mechanics;

Analytical solution in the Hermite-Gaussian form of the beam propagating in the strong nonlocal media;

A Theoretical Research for the Breathers and the Solitons Solutions in the Hermite-Gaussian Form of the Beam Propagating in the Strong Nonlocal Media;

An exact analytical solution of the Hermite-Gaussian form was obtained by a new tentative solution.