The fundamental idea of wave mechanics

Resonance ◽  
1999 ◽  
Vol 4 (2) ◽  
pp. 92-103 ◽  
Author(s):  
Erwin Schrödinger

Lattice energies of crystals built of homopolar molecules were first calculated by London. His investigations were based on the theory of the van der Waals forces by Eisenschitz and London. Slater and Kirkwood came to the same conclusion with regard to the van der Waals forces by using the variation principle in their calculations. The fundamental idea that the van der Waals forces are linked up with polarization was first conceived by Debye. His treatment of the problem based on classical electrostatics has been superseded by London’s treat­ment based on wave mechanics.


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.


1938 ◽  
Vol 43 (4) ◽  
pp. 687-688
Author(s):  
Hymen Ezra Cohen
Keyword(s):  

2021 ◽  
Vol 48 (4) ◽  
pp. 45-48
Author(s):  
Shunsuke Higuchi ◽  
Junji Takemasa ◽  
Yuki Koizumi ◽  
Atsushi Tagami ◽  
Toru Hasegawa

This paper revisits longest prefix matching in IP packet forwarding because an emerging data structure, learned index, is recently presented. A learned index uses machine learning to associate key-value pairs in a key-value store. The fundamental idea to apply a learned index to an FIB is to simplify the complex longest prefix matching operation to a nearest address search operation. The size of the proposed FIB is less than half of an existing trie-based FIB while it achieves the computation speed nearly equal to the trie-based FIB. Moreover, the computation speed of the proposal is independent of the length of IP prefixes, unlike trie-based FIBs.


2019 ◽  
Vol 74 (5) ◽  
pp. 363-366
Author(s):  
Günter Nimtz

AbstractVirtual particles are expected to occur in microscopic processes, as they are introduced, for instance, by Feynman in quantum electrodynamics as photons performing in an unknown way in the interaction between two electrons. This note describes macroscopic virtual particles as they appear in classical evanescent modes and in quantum mechanical tunnelling particles. Remarkably, these large virtual particles are present in wave mechanics of elastic, electromagnetic, and Schrödinger fields.


BioScience ◽  
1968 ◽  
Vol 18 (1) ◽  
pp. 55-56
Author(s):  
David M. Gates

1966 ◽  
Vol 20 (3) ◽  
pp. 233-251 ◽  
Author(s):  
L. Jánossy ◽  
Maria Ziegler-Náray

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