Quantum Theory of Hydrogen Atom

2016 ◽  
pp. 147-166
Keyword(s):  
Quantum Theory ◽  
Hydrogen Atom

scholarly journals Previously Unknown Physical Formulas which Hold in a Hydrogen Atom and are Derived without Using Quantum Mechanics

2017 ◽  
Vol 9 (4) ◽  
pp. 7
Author(s):  
Koshun Suto
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Hydrogen Atom ◽  
Physical Science ◽  
Classical Quantum ◽  
Physical Quantities

It is thought that quantum mechanics is the physical science describing the behavior of the electron in the micro world, e.g., inside a hydrogen atom. However, the author has previously derived the energy-momentum relationship which holds inside a hydrogen atom. This paper uses that relationship to investigate the relationships between physical quantities which hold in a hydrogen atom. In this paper, formulas are derived which hold in the micro world and make more accurate predictions than the classical quantum theory. This paper concludes that quantum mechanics is not the only theory enabling investigation of the micro world.

The non-relativistic and relativistic quantum theory with temperature

2020 ◽  
Author(s):  
Wu Xiang-Yao ◽  
Ben-Shan Wu ◽  
Han Liu
Keyword(s):  
Wave Function ◽  
Quantum Theory ◽  
Hydrogen Atom ◽  
Energy Level ◽  
Relativistic Quantum ◽  
Temperature Correction ◽  
Quantum Thermodynamics ◽  
Relativistic Quantum Theory ◽  
Energy Principle ◽  
Entropy Principle

Abstract In this paper, we have proposed the principle of quantum thermodynamics, including energy principle and microcosmic entropy principle, and given the quantum thermodynamics of non-relativistic and relativistic quantum theory, i.e., the temperature-dependent schrodinger equation, Dirac equation and photon equation. We given the solution for wave function and energy level with temperature. Taking the hydrogen atom as an example, we given the temperature correction to hydrogen atom energy level and wave function.

scholarly journals The passage of neutrons through matter

1932 ◽  
Vol 138 (835) ◽  
pp. 460-469 ◽  
Keyword(s):  
Quantum Theory ◽  
Charged Particle ◽  
Hydrogen Atom ◽  
Experimental Method ◽  
Nuclear Structure ◽  
Quantum State ◽  
Mathematical Description ◽  
Elastic Collisions ◽  
Satisfactory Theory

The discovery of the neutron by Chadwick is of very great importance to the theory of nuclear structure for it is apparently a much simpler unit than the α-particle and so more amenable to mathematical description. It is, therefore, very necessary to obtain as much knowledge as possible of the field of force surrounding the particle. If this field be known a very strict test of any theory of the nature of the particle is provided. The experimental method used to determine the field of force consists in the observation of the collisions of neutrons with material particles such as electrons and protons. The interpretation of these results requires the development of a satisfactory theory of such collisions. Fortunately, in most cases the smallness of the field of interaction between a neutron and a charged particle leads to the possibility of applying the simple approximate quantum theory of collisions due to Born. In this paper we will discuss the application of the theory to the elastic collisions of neutrons with material particles. A neutron model consisting of a hydrogen atom in a nearly zero quantum state will be considered in particular and the probability of disintegration of such a model by nuclear impact estimated. It will be shown that the available experimental material indicates that the radius of such an atom must be less than 2·0 × 10 -13 cm.

scholarly journals The Relationship Enfolded in Bohr’s Quantum Condition and a Previously Unknown Formula for Kinetic Energy

2019 ◽  
Vol 11 (1) ◽  
pp. 19
Author(s):  
Koshun Suto
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Hydrogen Atom ◽  
Kinetic Energy ◽  
Theory Of Relativity ◽  
Energy Formula ◽  
Classical Quantum ◽  
The Relationship ◽  
Quantum Condition

Bohr’s quantum condition is an indispensable assumption for classical quantum theory. However, strictly speaking, Bohr's quantum condition does not hold when deriving the energy of an electron forming a hydrogen atom from the perspective of the theory of relativity. In this paper, it is thought that the relationship enfolded in Bohr's quantum condition, i.e.,  is suitable as a new quantum condition to replace Bohr’s quantum condition. Also, in quantum mechanics, the energy of an electron is derived based on the theory of relativity, as exemplified in the theory of Sommerfeld. However, this paper points out that the previous energy formula based on the theory of relativity is mistaken. It also proposes a previously unknown formula for the kinetic energy of an electron.

scholarly journals The quantum theory of the neutron

1934 ◽  
Vol 145 (854) ◽  
pp. 344-358 ◽  
Keyword(s):  
Wave Equation ◽  
Fine Structure ◽  
Quantum Theory ◽  
Hydrogen Atom ◽  
Ad Hoc ◽  
Structure Constant ◽  
Wave Functions ◽  
Fine Structure Constant ◽  
Second Order Wave Equation ◽  
Plausible Theory

The object of this paper is to show that a plausible theory of the neutron can be developed from Dirac's wave equation without the use of any ad hoc assumptions. It is shown that the second order wave equation of the hydrogen atom, which exhibits the relativistic and spin corrections, possesses two sets of solutions "H" and "N" distinguished by their behaviour as r →0 ( r being the distance of the electron from the proton). The H-solutions are the accepted wave functions of the hydrogen atom. As r →0 these solutions tend to zero if the serial quantum number l differs from zero, and they become infinite of order r [(1 - a 2 ) 1/2 - 1] if l = 0 (α is the fine structure constant).

scholarly journals On the electromagnetic fields due to variable electric charges and the intensities of spectrum lines according to the quantum theory

1933 ◽  
Vol 141 (845) ◽  
pp. 550-553
Keyword(s):  
Quantum Theory ◽  
Hydrogen Atom ◽  
Electromagnetic Fields ◽  
Classical Result ◽  
Usual Method ◽  
Quantum Mechanical ◽  
Electric Moment ◽  
Correct Calculation ◽  
Mechanical Expression ◽  
Special Case

In a recent paper under the same title, G. A. Schott finds that the usual method of calculating the intensities of spectrum lines is liable to lead to gross errors. Although one would expect from general reasons that any improvement of the usual method would only lead to small corrections and that, therefore, Schott’s conclusion cannot be free from error, it may not be devoid of interest to show that a correct calculation starting with Schott’s formulæ leads, in contradiction to Schott’s conclusion, to the generally accepted classical result. The aim of Schott’s calculations is to obtain a quantum mechanical expression for the energy radiated by an atom, which is classically given by R=2/3C 3 {р(t-r/c)} 2 , (1) p( t ) being the electric moment of a dipole representing the atom. Schott considers the special case of a hydrogen atom emitting a radiation corresponding to a transition from the centrosymmetrical state 1 =A f (r) (2)

Sign in / Sign up

Export Citation Format

Share Document