Investigating ionisation cluster size distribution due to sub-1 keV electrons in view of Heisenberg's Uncertainty

4th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Li, B.^1,2 ; Palmans, H.^1 ; Hao, L.^1 ; Nisbet, A.^2,3

National Physical Laboratory, Teddington-Middlesex

TW11 0LW, United Kingdom^1

Department of Physics, University of Surrey, Guildford

GU2 7XH, United Kingdom^2

Royal Surrey County Hospital, Guildford, Surrey

GU2 7XX, United Kingdom^3

关键词: Classical transport;    Cluster-size distribution;    Cumulative frequencies;    Heisenberg's uncertainty;    Heisenberg's Uncertainty principle;    Interacting particles;    Low energy electrons;    Spatial uncertainty;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/633/1/012002/pdf
DOI  :  10.1088/1742-6596/633/1/012002

来源: IOP

【 摘 要 】

As the wavelengths of low energy electrons become comparable with the length scale of the mean ionisation step size, each event particle should be treated with care as the condition outlined in Heisenberg's uncertainty principle (HUP) should also be satisfied. Within this quantum-classical regime, spatial delocalisations of individual ionisation event sites that are generated outside the target region are calculated, and particular attention is given to the validity of using classical transport methods in simulations of nanodosimetric parameters such as mean cluster size, first and second moments, variance and cumulative frequency of ionisation cluster-size probability distributions. This paper presents the comparison between conventionally calculated nanodosimetric quantities and the ones where interacting particles are treated semi-classically with spatial uncertainties satisfied by HUP. The simulated primary charged particles are electrons of energies between 100 eV and 1 keV in DNA equivalent target aqueous water volumes using GEANT4-DNA.