Nuclear Radiation Reaction Explanation Using Generalized Quantum and Statistical Laws

Abstract

Nuclear reactions plays an important role in understanding nuclear structure . Nuclei with unsuitable compositions are unstable and they undergo spontaneous disintegration or nuclear decay. Nuclides that undergo spontaneous decay are said to be radioactive. therefore this thesis aims to contruct a new theoretical models based on schordinger eqution in friction medium beside energy and momentum space . the methodology is based on using mathematical analysis and quantum laws .the friction energy was obtained by considering particles as oscillating strings is related to the momentum. The energy and the corresponding Newtonian operator is found. This result in a new Schrodinger equation accounting for the effect of friction. This new equation shows that the energy and mass are quantized, if one treats particles as strings. The radioactive decay law and collision probability is also derived. Maxwell – Boltzmann distribution, Fermi – Dirac and Bose – Einstein distribution laws were derived using the quantum wave function in the energy and momentum space and statistical laws and also the the number of particles were faund using the resulting wave function and the number of particles which obtained in full agreement to that of Maxwell distribution . also the other distribution laws were constructed by using thermodynamic relations .