scholarly journals Indistinguishable elements in the origins of quantum statistics. The case of Fermi–Dirac statistics

2022 ◽  
Vol 47 (1) ◽  
Author(s):  
Enric Pérez ◽  
Joana Ibáñez

AbstractIn this paper, we deal with the historical origins of Fermi–Dirac statistics, focusing on the contribution by Enrico Fermi of 1926. We argue that this statistics, as opposed to that of Bose–Einstein, has been somewhat overlooked in the usual accounts of the old quantum theory. Our main objective is to offer a critical analysis of Fermi’s seminal paper and its immediate impact. Secondly, we are also interested in assessing the status of the particle concept in the years 1926–1927, especially regarding the germ of quantum indistinguishability. We will see, for example, that the first applications of the Fermi–Dirac statistics to the study of metals or stellar matter had a technical nature, and that their main instigators barely touched upon interpretative matters. Finally, we will discuss the reflections and remarks made in these respects in two famous events in physics of 1927, the Como conference and the fifth Solvay congress.

1975 ◽  
Vol 21 ◽  
pp. 116-154 ◽  

S. N. Bose was one of India’s most eminent scientists. Bose’s achievements in scientific research were not as sustained or as numerous as those of his contemporaries like C. V. Raman, (1) Meghnad Saha (2) and K. S. Krishnan, (3) together with whom he became a pioneer of education and research in modern physics in India. But the circumstances of Bose’s intellectual development were unusual and he was destined to play an inspiring role in the scientific and cultural life of his country. Bose’s novel derivation of Planck’s radiation formula, the only significant contribution which he made to physics, came at a turning point between the old quantum theory of Planck, Einstein, Bohr and Sommerfeld and the new quantum mechanics of Heisenberg, Dirac and Schrodinger. Bose sent his paper early in June 1924 to Albert Einstein who recognized its merit, translated it into German, and had it published in the Zeitschrift für Physik [6]. During the summer of 1924 Einstein also received, from Paul Langevin in Paris, a copy of the doctoral thesis of Louis de Broglie (4) dealing with the wave aspects of matter. Bose’s work became the point of departure for Einstein’s investigation on the quantum theory of monatomic ideal gases and ‘gas degeneracy’, leading to his prediction of the condensation phenomenon. (5) Einstein recognized the importance of de Broglie’s ideas and also made use of them in his investigation. (5) In turn, these papers of de Broglie and Einstein stimulated Schrodinger (6) to develop his wave mechanics. The ‘Bose-Einstein statistics’ immediately fitted into the framework of quantum mechanics and enshrined Bose’s name in physics for ever. Bose lived the legend of this fateful encounter with Einstein throughout the rest of his life.


Author(s):  
Chris Armstrong

The status quo within international politics is that individual nation-states enjoy extensive and for the most part exclusive rights over the resources falling within their borders. Egalitarians have often assumed that such a situation cannot be defended, but perhaps some sophisticated defences of state or national rights over natural resources which have been made in recent years prove otherwise. This chapter critically assesses these various arguments, and shows that they are not sufficient to justify the institution of ‘permanent sovereignty’ over resources. Even insofar as those arguments have some weight, they are compatible with a significant dispersal of resource rights away from individual nation-states, both downwards towards local communities, and upwards towards transnational and global agencies.


Author(s):  
Anthony Duncan ◽  
Michel Janssen

This is the first of two volumes on the genesis of quantum mechanics. It covers the key developments in the period 1900–1923 that provided the scaffold on which the arch of modern quantum mechanics was built in the period 1923–1927 (covered in the second volume). After tracing the early contributions by Planck, Einstein, and Bohr to the theories of black‐body radiation, specific heats, and spectroscopy, all showing the need for drastic changes to the physics of their day, the book tackles the efforts by Sommerfeld and others to provide a new theory, now known as the old quantum theory. After some striking initial successes (explaining the fine structure of hydrogen, X‐ray spectra, and the Stark effect), the old quantum theory ran into serious difficulties (failing to provide consistent models for helium and the Zeeman effect) and eventually gave way to matrix and wave mechanics. Constructing Quantum Mechanics is based on the best and latest scholarship in the field, to which the authors have made significant contributions themselves. It breaks new ground, especially in its treatment of the work of Sommerfeld and his associates, but also offers new perspectives on classic papers by Planck, Einstein, and Bohr. Throughout the book, the authors provide detailed reconstructions (at the level of an upper‐level undergraduate physics course) of the cental arguments and derivations of the physicists involved. All in all, Constructing Quantum Mechanics promises to take the place of older books as the standard source on the genesis of quantum mechanics.


2021 ◽  
pp. 1-4
Author(s):  
Anders Björklund

In two recent postmortem studies, Jeffrey Kordower and colleagues report new findings that open up for an interesting discussion on the status of GDNF/NRTN signaling in patients with Parkinson’s disease (PD), adding an interesting perspective on the, admittedly very limited, signs of restorative effects previously seen in GDNF/NRTN-treated patients. Their new findings show that the level of the GDNF signaling receptor Ret is overall reduced by about 65% relative to non-PD controls, and most severely, up to 80%, in nigral neurons containing α-synuclein inclusions, accompanied by impaired signaling downstream of the Ret receptor. Notably, however, the vast majority of the remaining nigral neurons retained a low level of Ret expression, and hence a threshold level of signaling. Further observations made in two patients who had received AAV-NRTN gene therapy 8–10 years earlier suggest the intriguing possibility that NRTN is able to restore Ret expression and upregulate its own signaling pathway. This “wind-up” mechanism, which is likely to depend on an interaction with dopaminergic transcription factor Nurr1, has therapeutic potential and should encourage renewed efforts to turn GDNF/NRTN therapy into success, once the recurring problem of under-dosing is resolved.


2014 ◽  
Vol 31 (4) ◽  
pp. 10-13 ◽  
Author(s):  
Sharon Q. Yang

Purpose – This study aims to ascertain the trends and changes of how academic libraries market and deliver information literacy (IL) on the web. Design/methodology/approach – The author compares the findings from two separate studies that scanned the Web sites for IL-related activities in 2009 and 2012, respectively. Findings – Academic libraries intensified their efforts to promote and deliver IL on the web between 2009 and 2012. There was a significant increase in IL-related activities on the web in the three-year period. Practical implications – The findings describe the status quo and changes in IL-related activities on the libraries’ Web sites. This information may help librarians to know what they have been doing and if there is space for improvement. Originality/value – This is the only study that spans three years in measuring the progress librarians made in marketing and delivering IL on the Web.


1993 ◽  
Vol 02 (03) ◽  
pp. 507-546 ◽  
Author(s):  
M.K. MOE

Substantial progress has been made in double beta decay experiments in the past few years, including the beginning of sensitive new searches for neutrinoless double beta decay, and several additional positive detections of the two-neutrino mode by geochemical, radiochemical, and direct-counting techniques. This review discusses the recent experimental activity.


2021 ◽  
Vol 58 (4) ◽  
pp. 77-94
Author(s):  
Alexey Z. Chernyak ◽  

The idea that knowledge as an individual mental attitude with certain propositional content is not only true justified belief but a belief the truth of which does not result from any kind of luck, is widely spread in contemporary epistemology. This account is known as anti-luck epistemology. A very popular explanation of the inconsistency of that concept of knowledge with the luck-dependent nature of truth (so called veritic luck taking place when a subject’s belief could not be true if not by mere coincidence) presumes that the status of propositional knowledge crucially depends on the qualities of actions that result in the corresponding belief, or processes backing them, which reflect the socalled intellectual virtues mainly responsible for subject’s relevant competences. This account known as Virtue Epistemology presumes that if a belief is true exclusively or mainly due to its dependence on intellectual virtues, it just cannot be true by luck, hence no place for lucky knowledge. But this thesis is hard to prove given the existence of true virtuous beliefs which could nevertheless be false if not for some lucky (for the knower) accident. This led to an appearance of virtue epistemological theories aimed specifically at an assimilation of such cases. Their authors try to represent the relevant situations as such where the contribution of luck is not crucial whereas the contribution of virtues is crucial. This article provides a critical analysis of the corresponding arguments as part of a more general study of the ability of Virtue Epistemology to provide justification for the thesis of incompatibility of propositional knowledge with veritic luck. It is shown that there are good reasons to doubt that Virtue Epistemology can do this.


2015 ◽  
Vol 45 (5) ◽  
pp. 641-702 ◽  
Author(s):  
Jeremiah James ◽  
Christian Joas

As part of an attempt to establish a new understanding of the earliest applications of quantum mechanics and their importance to the overall development of quantum theory, this paper reexamines the role of research on molecular structure in the transition from the so-called old quantum theory to quantum mechanics and in the two years immediately following this shift (1926–1928). We argue on two bases against the common tendency to marginalize the contribution of these researches. First, because these applications addressed issues of longstanding interest to physicists, which they hoped, if not expected, a complete quantum theory to address, and for which they had already developed methods under the old quantum theory that would remain valid under the new mechanics. Second, because generating these applications was one of, if not the, principal means by which physicists clarified the unity, generality, and physical meaning of quantum mechanics, thereby reworking the theory into its now commonly recognized form, as well as developing an understanding of the kinds of predictions it generated and the ways in which these differed from those of the earlier classical mechanics. More broadly, we hope with this article to provide a new viewpoint on the importance of problem solving to scientific research and theory construction, one that might complement recent work on its role in science pedagogy.


Author(s):  
Abdul Latef bin Alhadri ◽  
Muhamad Rozaimi bin Ramle

The introduction of Quranic and Fardhu Ain courses (Kelas Al-Quran dan Fardhu Ain (KAFA) by the Department of Islamic Development Malaysia (Jabatan Kemajuan Islam Malaysia (JAKIM) is an effort to produce a generation that is moulded by the teachings of Al-Quran and Al-Sunnah. However, there are specific ḥadīths quoted in the textbook that require further attentive verification. This study seeks to verify the status of the ḥadīth mentioned in the ‘Aqīdah textbook in the eyes of the Ahlussunnah Wal Jama’ah scholars. This is because ‘Aqīda his the most important subject in Islamic studies.This research is a qualitative research which uses data analysis method, where allthe data and information obtained will be analysed using descriptive method. The method of takhrijal-ḥādīth will be applied to verify the status of the ḥadīths. This study reveals that there are six ḥadīths mentioned in the ‘Aqīdah textbook and the status of 3 of them are problematic. The origin of one of these ḥadīths isunknown while two of them are not properly narrated. This study also suggests the establishment of a committee or panel that is comprised of ḥadīth scholars/experts from the local universities in order to makesureall ḥādīths mentioned in the textbooks would adhere to the prescribed standards.


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