Quantum-Systems at Escape Velocities

Adegbite Inioluwa Precious

doi:10.20944/preprints202406.0960.v1

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preprints.org > physical sciences > theoretical physics > doi: 10.20944/preprints202406.0960.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Quantum-Systems at Escape Velocities

Adegbite Inioluwa Precious

Version 1 : Received: 12 June 2024 / Approved: 13 June 2024 / Online: 13 June 2024 (15:06:29 CEST)
Version 2 : Received: 15 June 2024 / Approved: 17 June 2024 / Online: 18 June 2024 (12:12:15 CEST)
Version 3 : Received: 29 June 2024 / Approved: 1 July 2024 / Online: 1 July 2024 (17:51:04 CEST)

How to cite: Inioluwa Precious, A. Quantum-Systems at Escape Velocities. Preprints 2024, 2024060960. https://doi.org/10.20944/preprints202406.0960.v1 Inioluwa Precious, A. Quantum-Systems at Escape Velocities. Preprints 2024, 2024060960. https://doi.org/10.20944/preprints202406.0960.v1

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MDPI and ACS Style

Inioluwa Precious, A. Quantum-Systems at Escape Velocities. Preprints 2024, 2024060960. https://doi.org/10.20944/preprints202406.0960.v1

APA Style

Inioluwa Precious, A. (2024). Quantum-Systems at Escape Velocities. Preprints. https://doi.org/10.20944/preprints202406.0960.v1

Chicago/Turabian Style

Inioluwa Precious, A. 2024 "Quantum-Systems at Escape Velocities" Preprints. https://doi.org/10.20944/preprints202406.0960.v1

Abstract

This article briefly shows how particle’s moving at escape velocity can be described in a quantum mechanical frameworks, this is achieved by deriving quantum mechanical equations that puts escape velocity into consideration. The equations are derived from Hamiltonians and Hamiltonian operators formulated from classical kinetic and potential terms which are then quantized. Equations were also presented for specific situations of the particle at escape velocity. Situations such as free-particles at escape velocity, Self-gravitating situations of a charged or neutral particle even while free of the gravitational influence of the large massive body due to its escape velocity, leaving only the self-gravitation as the only gravitational influence on the particle which in the case of a massless, charge less particle reduces back to the equation of free-particle at escape velocity. Other very brief expositions on trajectories and more are also present in this brief article.

Keywords

quantum mechanics; gravity; Quantum-gravity; escape velocity

Subject

Physical Sciences, Theoretical Physics

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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