I think that this question can be related to your other question about commute operators. Well, first of all, Energy form can show the principle of conservation of energy. second, in Q. M. we have three space to deal with, the first is x space  (r), the second is the momentum space (p), the third is the energy (E) , we can express energy momentum and space in direct mathematical operators that are related to each other via  Hamiltonian energy operator is the  Hamiltonian operator , x operator is x, and momentum operator is related to differentiation with respect  to spatial space (x). An important point, Q. M. can be well understood when you have enough knowledge about vector space , mathematical operators, and matrix analysis.

regards

Dear Mr.Abdulghefar

Firstly, Thanks for your answer and I got your point.It makes me think that the Energy,momentum and Space in Hamiltonian operator which corresponding to Energy eigenvalue and their eigenvectors In Hilbert space are  described together by schrodinger equation.I take your advice Dear teacher,Beside those you mentioned,I think philosophy of estimating another important point in Q.M.

Kindly,

thanks a lot for your comment

I wonder what do you mean by your last statement?

regards

Dear teacher

philosophy of estimating or in another word metaphysics.i.e the way which the quantum physics was described by physicist ,as well as, how planned to understand a bizarre world  in earlier 19th century.for instance:

(physics and beyond ) written by W.Heisenberg.

(MR TOMPKINS IN WONDERLAND) by G.Gamow

are books in philosophy of estimating.Frankly both of them are difficult to me.

with affection,