Precompound Decay from a Time-Dependent Point of View

1971 ◽  
Vol 3 (5) ◽  
pp. 1847-1855 ◽  
Author(s):  
G. D. Harp ◽  
J. M. Miller
2003 ◽  
Vol 15 (10) ◽  
pp. 1285-1317 ◽  
Author(s):  
CLOTILDE FERMANIAN KAMMERER

We study the time-dependent Schrödinger equation with matrix-valued potential presenting a generic crossing of type B, I, J or K in Hagedorn's classification. We use two-scale Wigner measures for describing the Landau–Zener energy transfer which occurs at the crossing. In particular, in the case of multiplicity 2 eigenvalues, we calculate precisely the change of polarization at the crossing. Our method provides a unified framework in which codimension 2, 3 or 5 crossings can be discussed. We recover Hagedorn's result for wave packets, from Wigner measure point of view, and extend them to any data uniformly bounded in L2. The proof is based on a normal form theorem which reduces the problem to an operator-valued Landau–Zener formula.


2021 ◽  
Vol 13 (47) ◽  
pp. 125-129
Author(s):  
Andrea Maria Signorini

A homeopathic widespread belief is that the inversion of effect of the drugs in homeopathic medical practice is due to dilution or very low doses, but there are many homeopathic incoherencies. For example the first conception of the similia principle was obtained through planned, small sample, clinical experiments with ponderal/pharmacological doses in healthy and diseased subjects1. Furthermore the classical foundations of the similia principle in Organon2, the primary and secondary actions of drugs, were thought to be connected with opposite, time-dependent reactions of the body to high doses and the inversion of effect was seen in temporal sequence after a strong dose and not after changes of doses, so the idea that dilutions are responsible for inversion of effects is not suitable to the classical theory. And lastly homeopathic provings or pathogenetic trials have frequently mixed, unregarded to the doses, occasional toxicological symptoms and symptoms obtained through diluted substances3, reinforcing the idea that, on healthy subjects, in several cases many substances produce the same symptoms in pharmacological or infinitesimal doses. So at least the dose-dependent inversion of effect is not generalized in a great part of the collected symptoms. Biological foundations to similia principle have to be searched in other directions4, as in different sensitivity to drugs between health and disease, or in different time-dependent effect of drugs on specific, but different, cell sensitivity set point. In the vision described here both these possibilities represent the same phenomenon of altered cell sensitivity. It is aim of this article to show that the original hahnemannian idea to explain homeopathic similia principle starting from a pharmacological and biological point of view with ponderal doses, seems correct, rationally comprehensible and based on modern knowledges. The three pharmacologic examples that best illustrate this reasoning, coffe, opium and wine, will be discussed.


Author(s):  
Adel Hamdi ◽  
Imed Mahfoudhi

AbstractThe paper deals with the nonlinear inverse source problem of identifying an unknown time-dependent point source occurring in a two-dimensional evolution advection-dispersion-reaction equation with spatially varying velocity field and dispersion tensor. The


1956 ◽  
Vol 9 (1) ◽  
pp. 95-97
Author(s):  
Regin Prenter

Johannes Knudsen: Danish Rebel. The Life of N. F. S. Grundtvig — and Ernest Nielsen: N. F. S. Grundtvig. An American Study. By Regin Prenter. These two books are typically American, but at the same time dependent on the Danish Grundtvigian tradition and recent Danish research on the life and writings of Grundtvig, with which they are both completely familiar. The two books do not contribute anything fundamentally new to the understanding of Grundtvig, but their American background makes it possible for them — especially in the case of Knudsen — to take up an independent attitude towards the divergent interpretations of Grundtvig in Denmark. Knudsens book is a well-written biography, factual and critical, without any hagiographical tendencies. Two concluding chapters of a more systematic nature (on the Church and on the nature of man) seek to show Grundtvig’s significance for the modern age. In his interpretation of Grundtvig Knudsen adopts the point of view that 1832 does not mark any decisively new phase in Grundtvig’s development. The new ideas are latent in the old. Grundtvig’s understanding of man is conditioned by his unterstanding of Christianity; but this includes a high valuation of what is human as the presupposition for what is Christian. Nielsen’s book is planned as a systematic investigation with Grundtvig’s understanding of the reality of the Spirit as its central theme. Its main thesis is that Grundtvig’s view of life is historical in contradistinction to every metaphysical or specualtive interpretation of existence. This point of view is worked out in an interesting way, but one could have wished that the author could have gone more thoroughly into a critical appraisement of this historical interpretation of existence than the very limited space at his disposal has allowed him to do. Both books are very much in sympathy with their subject, and a feature which they have in common is that they see Grundtvig as an ecumenical figure, and for this reason they betray a marked repugnance towards any attempt at a sectarian glorification of Grundtvig. It is much to be desired that these two books may awaken new interest in Grundtvig in America. But in order that this should succeed fully they must be followed by translations of Grundtvig’s writings.


Author(s):  
J. Pierrus

In this chapter, the transition from time-independent to time-dependent source densities and fields is made. It is here that Faraday’s famous nineteenth-century experiments on electromagnetic induction are first encountered. This important phenomenon—whereby a changing magnetic field produces an induced electric field (whose curl is now no longer zero)—forms the basis of most of the questions and solutions which follow. Some new and interesting examples—not usually found in other textbooks—are introduced. These are treated both from an analytical and numerical point of view. Also considered here is the standard yet important topic (at least from a practical standpoint) of mutual and self-inductance. Several questions deal with this concept.


2011 ◽  
Vol 1370 ◽  
Author(s):  
Márton Vörös ◽  
Tamás Demjén ◽  
Adam Gali

ABSTRACTDiamondoids are small diamond nanocrystals with perfect hydrogenated surfaces. Recent absorption measurements showed that the spectrum of diamondoids exhibit features that are not understood from the theoretical point of view, e.g. optical gaps are only slightly larger than the gap of bulk diamond which runs against the quantum confinement effect. Previous calcula-tions, even beyond standard density functional theory (DFT), failed to obtain the experimental optical gaps (Eg) of diamondoids. We show that all-electron time-dependent DFT (TD-DFT) calculations including the PBE0 hybrid functional in the TD-DFT kernel are able to provide quantitatively accurate results. Our calculations demonstrate that Rydberg transitions govern the low energy part of the absorption spectrum, even for relatively large nanodiamonds result-ing in low Eg. Since the optical gap of these diamondoids lies in the ultraviolet spectral re-gion, we investigated whether simple adsorbates of the surface are able to shift the gap towards the infrared region. We found that a double bonded sulfur atom at the surface results in a sub-stantial gap reduction.


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