Perspective Chapter: The Proton’s Theoretical Description, Based on Wigner-Segal Approach to Elementary Particles Full article
| Source | Proton Therapy - Scientific Questions and Future Direction Monography, Intechopen. 2024. 88 c. ISBN 978-0-85466-340-8. |
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| Output data | Year: 2024, Pages: 7-26 Pages count : 20 DOI: 10.5772/intechopen.1003189 | ||||||||
| Tags | proton as an elementary particle., standard and multi-level models, Wigner-Segal method, chronometric proton’s space of wave functions, wave function applications to proton therapy dosimetry | ||||||||
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Funding (2)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0009 |
| 2 | Sobolev Institute of Mathematics | FWNF-2022-0006 |
Abstract:
The chapter focuses on the Multi-Level Model (MLM), a conceptual framework proposed by Levichev. The essence of the MLM is the amalgamation of Segal’s chronometry and the Standard Model (SM), a fundamental theory in particle physics. The potential applications of MLM in proton therapy are predicated on the concept of the infinite-dimensional space denoted as Fp, encompassing the entirety of proton wave functions. The inherent properties of Fp-elements f are outlined. This analysis then proceeds to capture distinct instances (“snap shot photos”) of these functions at the temporal instant t = 0. The corresponding graphical representations of these functions are elucidated using precise geometric terminology. Specifically, two distinct types of graphs are identified: ND) a bell-shaped surface lacking a central depression, and WD)abell-shaped surface featuring a central dent. In an endeavor to establish a connection between these mathematical revelations and proton therapy dosimetry, the exploration delves into a comparison of various classes of functions f from Fp with those produced within diverse proton therapy vaults. This integration proposes the incorporation of a novel ingredient into dosimetry, namely, the incorporation of the proton's wave function. This innovative approach holds promise for refining proton therapy techniques and enhancing treatment precision.
Cite:
Klevtsova Y.
, Levichev A.
, Neshchadim M.
, Palyanov A.
Perspective Chapter: The Proton’s Theoretical Description, Based on Wigner-Segal Approach to Elementary Particles
Monography chapter Proton Therapy - Scientific Questions and Future Direction. – Intechopen., 2024. – C.7-26. – ISBN 978-0-85466-340-8. DOI: 10.5772/intechopen.1003189 РИНЦ OpenAlex
Perspective Chapter: The Proton’s Theoretical Description, Based on Wigner-Segal Approach to Elementary Particles
Monography chapter Proton Therapy - Scientific Questions and Future Direction. – Intechopen., 2024. – C.7-26. – ISBN 978-0-85466-340-8. DOI: 10.5772/intechopen.1003189 РИНЦ OpenAlex
Dates:
| Submitted: | Aug 21, 2023 |
| Accepted: | Aug 28, 2023 |
| Published online: | Dec 12, 2023 |
| Published print: | May 15, 2024 |
Identifiers:
| Elibrary: | 67201734 |
| OpenAlex: | W4390103702 |