Classical Mechanics and Quantum Mechanics:  An Historic-Axiomatic Approach

Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach

This unique textbook presents a novel, axiomatic pedagogical path from classical to quantum physics. Readers are introduced to the description of classical mechanics, which rests on Euler’s and ...
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Conservation of Stationary Quantum States Stationary Schrödinger Equation

Pp. 104-109 (6)

Peter Enders

Abstract

In this chapter, the stationary Schrödinger equations in configuration and momentum configuration spaces are derived from the non-classical expression of the total energy (7.15) found in the foregoing chapter. The new parameter in the Fourier transform is identified as ℏ ≡ ℎ/2. The roles of boundary conditions, probability concepts and independent dynamical variables are shortly discussed.

Keywords:

Boundary conditions, Independent dynamical variables, Momentum representation, Probability, Stationary Schrödinger equation, Wave function.

Affiliation:

Taraz State Pedagogical University, Kazakhstan.