Volume 21 No 7 (2023)
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Analysis of second quantization of Schrödinger and its effects on the path of a particle
Khawla Khaled Abd
Abstract
The whole portion will concentrate on enhanced performance in the procedure by trying to address a number of practical uses in the initial part, and on having to introduce the essential features of second quantization in the second portion. There has been a number of worthwhile attempts over the course of the past 10 years to expand Bohmian quantum mechanics to a quantum field theory. An additional term is introduced into the Klein-Gordon equations as a result of the effect of Bohmian mechanics to a quantum field theory. The very first illustration comes from the research of the physics of linked electron systems as well as the control of electron orbitals formation and destroying operations. The second instance is an analysis of classical magnetism performed in the context of electron development and destruction processes. A dynamic model is represented by its dynamical system (x1, xn, t) in the system and makes R 3n at all-time t, which solves the non-relativistic Schrodinger formula. A functional approach to quantum field theory also known as the second quantization is one way to arrive at this new level of detail so that it can be examined. The study also determined modified Hamilton-Jacobi equation by the second quantization, by comparing this identity with the Hamilton-Jacobi equation of the classical field. Researchers believe that all of the determines the optimal of the quantum theory can be seen in this extended dynamic perspective as a result of the fact that the experimental sets are built for the detection of electrons. This new invention can describe concepts such as the conception and total destruction of the particulate, as well as the lack of environmental protection of chances at the level of components, despite the fact that the chance of the whole being preserved. The first equation, with two additional terms, has the same structure as the standard Hamilton-Jacobi equation. In the Bohmian statistical many particle QM, the phrase R 2 can be regarded as a particle density distribution (or probability distribution of the particle's position). In the conventional QM, the term R 2 is interpreted as the probability of the particle detection, following observation. As long as the wave magnitude is not zero, the effect of quantum potential is still applicable. There is no pilot wave or active information when R decreases to zero as a result of Equation. It has been demonstrated that the modified Schrödinger equation has two consequences on the evolution of the particle. One way is through the modified Bohmian potential. It affects the nonlinearity of the modified Schrödinger equation and provides a foundation for creating a mechanism of converting active information to inactive information in the Bohmian interpretation and its relationship to the mental effect on matter, we suggest that this dissipative extra term may be considered as a solution for the measurement problem in standard QM.
Keywords
Schrödinger, Bohmian, Hamilton-Jacobi equation, second quantization
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