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| viXra.org > Quantum Physics > 2404 |
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[6] viXra:2404.0129 [pdf] submitted on 2024-04-27 09:08:17
Authors: Marcello Colozzo
Comments: 4 Pages.
In relativistic quantum mechanics, free particle states with negative energy (negative frequency of the wave function) are not easy to interpret.
Category: Quantum Physics
[5] viXra:2404.0100 [pdf] submitted on 2024-04-20 23:01:52
Authors: Marcello Colozzo
Comments: 8 Pages.
The study of the free motion of the meson $pi^{-}$ through the equation of Klein-Gordon, leads to its antiparticle i.e. the meson $pi^{+}$.
Category: Quantum Physics
[4] viXra:2404.0090 [pdf] submitted on 2024-04-17 20:44:38
Authors: Riddhiman Bhattacharya
Comments: 11 Pages.
Abstract—Quantum error correction is essential for reliable fault-tolerant quantum computing, necessitating the encoding of information redundantly into physical degrees of freedom to safeguard it against noise. A prominent approach involves continuous variable quantum informationprocessing using bosonic modes [3], [5], [6], [13], [17], [23]. This technique encodes information within the harmonic oscillator’s occupation number space, expressed throughnumber states {|n⟩}∞n=0 [19], position and momentum eigenstates {|x⟩}x∈R and {|p⟩}p∈R [12], or a selection of coherent states {|α⟩}α∈S (for a finite set S) [9]. The initial continuous variable scheme involving bosonic modes is the two-mode "dual-rail" encoding, introduced in1995 [8]. Presently, numerous bosonic codes are under assessment for their potential in fault-tolerant quantum computation. This review will focus on key contenders: firstly, establishing a pragmatic bosonic error model; proceedingto explore three prominent single-mode codes renowned for their robust protection against this model; evaluating the performance of these codes, considering relevant theoreticalaspects based on the work by [2]; and finally, delving into hardware-efficient multi-mode extensions, notable for their strides towards feasible physical implementation. Theseextensions will be situated within the evolving realm of bosonic quantum error correcting codes.
Category: Quantum Physics
[3] viXra:2404.0060 [pdf] submitted on 2024-04-12 21:42:28
Authors: Tomáš Kafoněk
Comments: 12 Pages.
This paper is the fourth part of a hypothesis originally based on the basic assumptions of Lorentz transformation and has various implications. In the first part of the hypothesis [1], I calculated the wave function from the general assumptions of the Lorentz transformation. This wave function describes spacetime deformations and entirely replaces the original Lorentz solution used in special relativity. Importantly, each new solution, for both time and space deformation, has two possible solutions that are equally probable. Therefore, I have used these equations for further calculations, which already have a quantum nature.In the second part of my hypothesis [2], I converted this equation into an electromagnetic one and used it to calculate interference and diffraction. Thus, the resulting equation is not based on complex functions, as in standard calculations. We can further investigate this equation, for example, in the context of electron levels in an atom, as interference and diffraction are phenomena related to Young's experiment, and the wave properties of electrons have been demonstrated. In the third part of my hypothesis [3], I applied the calculations to atomic relations and outlined possible solutions for atomic orbitals. This outline of the potential arrangement of energies in the atomic model arose from the fact that some molecules, such as CH4, have the shape of a Platonic solid tetrahedron, which I consider pivotal within the framework of the VSEPR theory.
Category: Quantum Physics
[2] viXra:2404.0025 [pdf] submitted on 2024-04-04 21:39:29
Authors: Qiuyu Shan
Comments: 7 Pages.
One-dimensional infinite well is an important model in quantum mechanics, and the solutions of Schrodinger equation and Klein-Gordon equation in this case have been studied extensively. In this paper, we discuss the solution of the Klein-Gordon equation in a moving one-dimensional infinite well, we find that the momentum of the particle should be complex numbers in a particular case.
Category: Quantum Physics
[1] viXra:2404.0014 [pdf] submitted on 2024-04-03 20:56:06
Authors: B. B. Slavin
Comments: 27 Pages. In Russian
This article proposes an interpretation of quantum physics based on the theory of solitons. According to this interpretation, an elementary particle (in particular, an electron) is a soliton solution to a system of nonlinear equations, while the linear equations of quantum mechanics for wave functions represent the boundary conditions for the presence of soliton solutions. It is hypothesized that the nonlinear equations for a quantum electron are ordinary Maxwell equations, in which the charge and current densities are expressed through quadratic combinations of electromagnetic field strengths. The complex wave function, which describes the motion of an electron, in this formulation is an ordinary electromagnetic wave, where the real part is the electric field strength, and the imaginary part is the magnetic field strength. Soliton equations, Maxwell's equations and quantum equations are easily written using 3+1 Pauli matrices, which indicates that the 3+1 coordinate system of space and time is a natural implementation of the world of particles - wave solitons. The proposed interpretation allows us to combine both the Copenhagen interpretation and Bohm’s theory of "hidden" variables.
Category: Quantum Physics
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