Quantization postulate in quantum mechanics

Mahdi Atiq, Mozafar Karamian, Mehdi Golshani

In a previous paper, we obtained the functional form of quantum potential by a quasi-Newtonian approach and without appealing to the wave function. We also described briefly the characteristics of this approach to the Bohmian mechanics. In this article, we consider the quantization problem and we show that the 'eigenvalue postulate' is a natural consequence of continuity condition and there is no need for postulating that the spectrum of energy and angular momentum are eigenvalues of their relevant operators. In other words, the Bohmian mechanics predicts the 'eigenvalue postulate'.

Jochen Pade

Mahn‐Soo Choi

Adrian E. Scheidegger

The efforts of most theoretical physicists of this century have been directed towards that branch of the physical science which is commonly called “Quantum Theory.” Physically, Quantum Theory was postulated because of a vast amount of physical evidence which led to the postulates of states, observables, superposition, and commutation relations. From these four postulates, all quantum mechanics follows.

Abani K. Bhuyan

Chapter 2, Postulates of Quantum Mechanics, points to the complementarity and inseparability of quantum mechanics and spectroscopy. To elucidate the close relationship of spectroscopy and quantum mechanics and to arouse interest in the subject, the collaborative evolution of the theoretical and experimental ideas of the quantization of magnetic moment of particle spin is briefed first. The necessary quantum mechanical background is introduced by discussing the physical and statistical meaning of the postulates. The physical meaning of the observable of a measurement is also explained. The principle of superposition of eigenstates and the time evolution of a state function during system-radiation interactions are analyzed. It is mentioned that a system weakly perturbed by an impulse can often be analyzed by perturbation theory. The chapter ends with a discussion of perturbation approaches to degenerate and nondegenerate systems.

Dipankar Bhattacharyya, Jyotirmoy Guha