Statistical theory of diffusion. Quantum states, configurational shape of a potential, and two types of noncoherent transitions of a hydrogen atom in metals

1982 ◽  
Vol 50 (1) ◽  
pp. 81-93 ◽  
Author(s):  
Yu. A. Kashlev ◽  
G. S. Solov'ev

Leaving out of consideration those nuclei of small atomic number it is possible to develop a statistical theory of nuclei. Bethe and Bacher (1936, p. 149), as well as many other writers, have treated this subject in great detail starting from the Hartree approximation. All these investigations were mainly concerned with the binding energy, and not much attention has been paid so far to the stability of nuclei according to the statistical theory, except the determination of the most stable nucleus with a given atomic number: this is due to the fact that previous investigators have always neglected to distinguish between quantum states with opposite spin, thereby losing the distinction between “odd” and “even” nuclei, which is essential for stability considerations.


2007 ◽  
Vol 75 (11) ◽  
Author(s):  
Nobuki Ozawa ◽  
Tanglaw Roman ◽  
Hiroshi Nakanishi ◽  
Wilson Agerico Diño ◽  
Hideaki Kasai
Keyword(s):  

2007 ◽  
Vol 19 (36) ◽  
pp. 365214 ◽  
Author(s):  
Nobuki Ozawa ◽  
Nelson B Arboleda Jr ◽  
Tanglaw A Roman ◽  
Hiroshi Nakanishi ◽  
Wilson A Diño ◽  
...  

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
A. G. Lebed

We define passive and active gravitational mass operators of the simplest composite quantum body—a hydrogen atom. Although they do not commute with its energy operator, the equivalence between the expectation values of passive and active gravitational masses and energy is shown to survive for stationary quantum states. In our calculations of passive gravitational mass operator, we take into account not only kinetic and Coulomb potential energies but also the so-called relativistic corrections to electron motion in a hydrogen atom. Inequivalence between passive and active gravitational masses and energy at a macroscopic level is demonstrated to reveal itself as time-dependent oscillations of the expectation values of the gravitational masses for superpositions of stationary quantum states. Breakdown of the equivalence between passive gravitational mass and energy at a microscopic level reveals itself as unusual electromagnetic radiation, emitted by macroscopic ensemble of hydrogen atoms, moved by small spacecraft with constant velocity in the Earth’s gravitational field. We suggest the corresponding experiment on the Earth’s orbit to detect this radiation, which would be the first direct experiment where quantum effects in general relativity are observed.


2015 ◽  
Vol 359 ◽  
pp. 687-691 ◽  
Author(s):  
Allan Abraham B. Padama ◽  
Hiroshi Nakanishi ◽  
Hideaki Kasai
Keyword(s):  

Author(s):  
C. A. Coulson ◽  
C. M. Gillam

SummaryThe interaction energy, or Van der Waals force, between a proton and a hydrogen atom in any one of its allowed quantum states is calculated in terms of the internuclear distance R by an expansion of the formAll the coefficients up to and including E5 are obtained in closed form. For values of R for which the expansion is valid, the coefficients are determined absolutely, no approximations being introduced.


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