A procedure for connecting the methods used in the analysis of exactly solvable potentials in the

nonrelativistic quantum mechanics with the solution of Dirac equation has presented.

Intended for undergraduate students who have previously taken introductory courses in

nonrelativistic quantum mechanics and special relativity, this textbook by Martin (physics and astronomy, U.

[1991]: 'Spacetime Coarse-Grainings in

Nonrelativistic Quantum Mechanics' Phys.

There exists one-dimensional solvable Schrodinger equation in the

nonrelativistic quantum mechanics for the determined potential which can be expanded to the Schrodinger-like equation and is derived from Dirac equation [28, 29].

Ghirardi, Rimini, and Weber's idea (which is formulated for

nonrelativistic quantum mechanics) goes like this: The wave function of an N particle system

Schrodinger quantum field theory, that is, second-quantized nonrelativistic quantum mechanics, provides us with an explicit expression of inertial particle spatial coordinates [x.sup.i] at time [t.sub.0] in terms of inertial background spatial coordinates [z.sup.i], thereby making manifest the deep conceptual difference between the two.

The obvious analogy with nonrelativistic quantum mechanics and the well-established physical interpretation of non-commuting quantum observables make this, in our view, the most natural and straightforward assumption.

The idea of a quantum geometry is certainly not new; however, here we are talking about a picture of that quantum space completely at the level of simple, textbook, so-called

nonrelativistic quantum mechanics. Moreover, we will justify it and illustrate explicitly how the classical Newtonian picture is retrieved in the classical approximation.