Discussed the origin of Schrodinger equation.Although Schrodinger equation is a analoging equation,we can find the result according with the fact when we apply it to describe the electron..It becomes the theoretical basic of quantum mechanics.
Abstract Quantum mechanics is one of the basic theories of modern physics. Here, the famous Schrödinger equation and the differential operators representing mechanical quantities in quantum mechanics are derived, just based on the principle that the translation invariance (symmetry) of a system in Hamiltonian mechanics should be preserved in quantum mechanics. Moreover, according to the form of the differential operators, the commutation relation in quantum mechanics between the generalized coordinate and the generalized momentum can be directly obtained. We believe that the results in this paper are very useful for understanding the physical origin of quantum mechanics.
In this paper, we try to construct the famous Schrodinger equation of quantum mechanics in a very simple manner. It is shown that, even though the mathematical procedure of the construction may be correct, it is evident that the establishment of the Schrodinger equation is unreasonable in physics. We point out the application of the Schrodinger equation, in fact, will lead to the transformation of the studied system into an arbitrary variable pseudo physical system. This finding may help to uncover the nature of the nonlocality and Heisenberg's uncertainty principle of quantum mechanics. It is inevitable that the use of the Schrodinger equation will violate the law of conservation of energy. Hence, we argue that the Schrodinger equation is unsuitable to be applied to any physical systems.
Abstract The essence of quantum mechanics is the Schrödinger equation. Thus, the path to quantum mechanics lies in an understanding of the birth of the Schrödinger equation. This chapter derives the Schrodinger equation based on the photoelectric effect, which has found a wide range of applications in today’s electronics. It then discusses the Schrodinger equation’s statistical interpretations and applications. It goes on to present the quantum many-body problem, which is of contemporary research interest, as well as its many applications. Next it investigates the Hartree-Fock method and the Thomas-Fermi approach, as well as provides a discussion of the Rydberg formula. Finally, the chapter looks at and unpacks the density functional theory.
According to De Broglie's idea of analogy, the relation between quantum mechanics and classical mechanics is similar to that between wave optics and geometric optics, we have given the quantum equation of the gravitational field intensity Eg(r,t) for matter particles, since the gravitational field intensity Eg(r,t) relatives to the particle position distribution function ψ(r,t), the quantum equation convert into the Schrodinger equation. In addition, we have further studied the essence and origin of quantum theory, and obtained some new results.