Journal of Physics: Theories and Applications
Vol 6, No 1 (2022): Journal of Physics: Theories and Applications

Foundational Problems of Quantum Theory: Novel Approach to Temporal Probability Density

Mustafa Erol (Department of Metallurgical and Materials Engineering, Dokuz Eylul University, Izmir, Turkey)
M. Emre Kuzucu (Department of Metallurgical and Materials Engineering, Dokuz Eylul University, Izmir, Turkey)



Article Info

Publish Date
28 Mar 2022

Abstract

Present study focuses on some foundational problems of quantum theory specifically deals with the concept of probability density and relating introductory problems. In this sense, the work initially investigates the origins of the general probability theory and re-examines the concepts of spatial and temporal probability densities based on genuine epistemological and ontological arguments. In order to tackle the foundational problems, standard theory is primarily memorised and criticized scientifically and philosophically in terms of foundationally disappearing term of time dependent potential energy within the time and space dependent Schrödinger wave equation. Based on those arguments, the problematic inconsistency between the spatial and temporal probability density functions is underlined. Given the problem, an original approach previously suggested, is concisely described and extended to resolve the existing problem. The novel approach, based on a novel time dependent Schrödinger wave equation, resolves the discrepancy with the classical wave equation and also leads to time dependent temporal probability densities even for the time free potential energies. Novel temporal probability density function is also normalized and has a fluctuation period of around 10-16 s which is very short compared to the atomic time scales.

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Journal Info

Abbrev

jphystheor-appl

Publisher

Subject

Education Materials Science & Nanotechnology Physics

Description

Journal of Physics: Theories and Applications (cited as J. Phys.: Theor. Appl.) is a peer-reviewed and open access journal, which is published twice a year by Physics Department, Sebelas Maret University. The journal is designed to serve researchers, developers, professionals, graduate students and ...