Based on the equation of the free movement of inert body built formal analogue of the wave function, which is the solution of the differential equation, almost identical to the Schrodinger equation for a free particle. It is shown that the inverse image of the wave function does not substantially coincides with the equation of rectilinear uniform motion. From a comparison of the formal analogue of the wave function and the classical wave equation to obtain an expression for the wave kinetic energy of an inert body. Show that a formal analogue of the wave function is a function monochrome, for which the phase and group velocities coincide and are equal velocity of the body. We consider two alternative variants of formation of the wave packet for a formal analogue of the wave function, according to which the body either moves simultaneously with all measurement speed range, or with a single.
Based on the equation of the free movement of inert body built formal analogue of the wave function, which is the solution of the differential equation, almost identical to the Schrodinger equation for a free particle. It is shown that the inverse image of the wave function does not substantially coincides with the equation of rectilinear uniform motion. From a comparison of the formal analogue of the wave function and the classical wave equation to obtain an expression for the wave kinetic energy of an inert body. Show that a formal analogue of the wave function is a function monochrome, for which the phase and group velocities coincide and are equal velocity of the body. We consider two alternative variants of formation of the wave packet for a formal analogue of the wave function, according to which the body either moves simultaneously with all measurement speed range, or with a single.
It is noted that for a monochromatic de Broglie wavelength corresponding to the free inertial particle wave group consists of a single wave, so the group velocity is identically equal to the phase. Justified by the presence in the expression for the wave kinetic energy factor ½, which is the same as in classical case which is due to the inertia of the particle. The representation of particle as a set of sub-particles, of which N is infinite, and therefore receive a confirmation of the equality group and phase velocities is described. It is shown that with the ratio for wave kinetic energy, expression for the total energy of the wave, the wave function and the Schrodinger equation for a free particle are inextricably linked
The wave function Ψ satisfies the Schrödinger equation for a free particle. Formally, the Schrödinger equation generates the magnitude of mechanical motion of the zero order 0 p = mv 0 (in the sense that it is contained in the Schrödinger equation. Comparison of the wave function Ψ and its gradient implies a formal analogue of the Schrödinger equation, which generates the magnitude of mechanical motion of the first order 1 p = mv 1. From the comparison of the wave function and its time derivative yields a formal analogue of the Schrödinger equation, which generates the magnitude of mechanical motion of the second order 2 p = mv 2/2!. The values of mechanical motion of the zero, first, and second orders are known.Obviously, other formal analogs of the Schrödinger equation can generate mechanical motion of other orders.The aim of the work is to establish such quantities and related regularities that may be of interest, which makes the study relevant. hovering. Then the spatial derivatives will be one-dimensional. The magnitude of the mechanical movement of the third order is 3 p = mv 3/3!. This value is Umov's integral vector for kinetic energy. The magnitude of the mechanical movement minus the first order -1 p = mv -1 is a reverse impulse. The meaning of this quantity and its relevance is established by the theorem: in a hy- drogen-like atom, the quantity m v-1 is quantized. A fixed (unchanged) quantum is a quantity m v-1 correspond- e e 0 ing to the basic energy level. Almost all of the results obtained were a consequence of the use of quantum mechanical differential equations, however, the results themselves are predominantly macromechanical. The quantities of mechanical motion of various orders are generated by formal analogs of the Schrödinger equation. In all formal analogs of the Schrödinger equation, the orders of the partial derivatives differ by one. For quantities of motion with a positive degree of velocity, the order of the temporal derivatives is higher than that of the spatial ones. For quantities with a negative degree, the order of spatial derivatives is higher.
Based on the method of V-function, a continuation of the optical-mechanical analogy is attained. In contrast to classic quantum mechanics, a trajectory-wave motion of the particle is explored. We highlight the presence of energy quantization of the particle and the availability of solution without a particle in the case of rectilinear uniform motion at constant speed. A solution to the direct and inverse problems of dynamics is searched for in a new statement for a hydrogen-like atom. When solving a direct problem, we find a stationary wave function of the electron in a hydrogen-like atom, with its properties investigated. When searching for a final solution to the stationary wave equation, we take into account a solution to the inverse problem of dynamics for the electron. A linear dependence between two particular solutions is shown. The second linearly independent solution is found, decaying exponentially to zero. We present charts of the stationary solution for a wave of the particle (electron) for three lower stationary states. Energy levels of a hydrogen-like atom are determined as a solution to the inverse problem of dynamics, which fully coincide with the classical results by Schrödinger and Bohr. A wave function is regarded as a physical reality, which makes it possible to open up new possibilities in order to study the structure of the microcosm
Based on the method of V-function, a continuation of the optical-mechanical analogy is attained. In contrast to classic quantum mechanics, a trajectory-wave motion of the particle is explored. We highlight the presence of energy quantization of the particle and the availability of solution without a particle in the case of rectilinear uniform motion at constant speed. A solution to the direct and inverse problems of dynamics is searched for in a new statement for a hydrogen-like atom. When solving a direct problem, we find a stationary wave function of the electron in a hydrogen-like atom, with its properties investigated. When searching for a final solution to the stationary wave equation, we take into account a solution to the inverse problem of dynamics for the electron. A linear dependence between two particular solutions is shown. The second linearly independent solution is found, decaying exponentially to zero. We present charts of the stationary solution for a wave of the particle (electron) for three lower stationary states. Energy levels of a hydrogen-like atom are determined as a solution to the inverse problem of dynamics, which fully coincide with the classical results by Schrödinger and Bohr. A wave function is regarded as a physical reality, which makes it possible to open up new possibilities in order to study the structure of the microcosm
It is shown that in classical mechanics it is not possible to measure the body speed with absolute accuracy; at any accuracy, only the interval containing an infinite number of speed values can be established at best, while in reality only one physical speed value is true (current), and all remaining values of the interval are imaginary (non-existent in reality). It is shown that in quantum mechanics, in contrast to the classical case, all the values of speeds are true. It is noted that the comparison of classical and quantum approaches creates a rule according to which the relationship between the actual speed of an object and the measured continuous velocity spectrum is accompanied by the transformation of the quantifier of existence and uniqueness to the universal quantifier. It has been established that for a quantum free particle there is a monochrome wave function, and the wave packet exists only in the minds of researchers, which is equivalent to the fact that the unique speed value in the interval of speeds is true, and every other is imaginary.
The Schrodinger equation based on the de Broglie wave is the most fundamental equation of the quantum mechanics. There can be no doubt about it's prediction validity. However, the probabilistic interpretation on the quantum mechanics has insoluble semantic interpretations like reduction of wave packet on observations of physical values. Especially, it is not clear that the wave function which is described by complex function, is whether formality or reality to express the state of particle motion. On this paper, we interpret the wave nature of particle as not the inherency of particle itself, but the motional property of particle in fluctuated space-time due to the kinetic energy and momentum the belief that the kinetic energy and momentum fluctuates the microscopic space-time, and the particle move through the fluctuated space-time adversely. Then, through the particle motion in the Euclidean space-time, the particle will be recognized as if it has the wave nature. We estimate the governing equation of fluctuations of microscopic space-time based on the macroscopic law of motion. On this paper, the equivalence between the governing equation and the Schrodinger equation is indicated.