Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach

Author(s): Peter Enders

DOI: 10.2174/9781681084497119010010

Conservation of Stationary Quantum States Stationary Schrödinger Equation

Pp: 104-109 (6)

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Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

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.

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