Minneapolis: American Physical Society, 1929. 1st Edition. FIRST EDITION IN ORIGINAL WRAPS OF ROBERTSON'S SEMINAL MODIFICATION OF THE HEISENBERG UNCERTAINTY PRINCIPLE. The Heisenberg relations were quickly taken up, discussed, and sought to be extended or modified by many physicists, including Schrodinger, Condon, and Robertson. Robertson, a Princeton physicist better known for his work in cosmology, in 1929 (in this paper) proved a more general version of the uncertainty relation, valid for any pair of conjugate variables, not just position and momentum (Kragh, Quantum Generations, p. 208).
It is one of the most important and commonly used general form of the uncertainty principle and is known as “the Robertson uncertainty relation” (Wikipedia). Separately we offer this in its original wraps. Werner Heisenberg’s uncertainty principle is, at its core, the principle that the momentum and position of a particle cannot both be precisely determined at the same time. It stands at the heart of quantum mechanics. Heisenberg’s work was “quickly taken up, discussed, and sought to be extended or modified by many physicists” (Kraugh: Quantum Generations, p. 208). Kennard all but immediately built upon Heisenberg’s work with his mathematically correct derivation of the inequality formula for uncertainty position and momentum. From there [and in this paper], the American physicist Howard Percy Robertson was able to generalize Kennard’s formula for measures other than position and momentum – in other words, Robertson generalized the formula to any pair of observables in any state.
ALSO INCLUDED: J. H. Van Vleck and A. Frank's The Effect of Second Order Zeeman Terms on Magnetic Susceptibilities in the Rare Earth and Iron Groups, 1494-1496. Related to the content of this paper, in 1977 Van Vleck was jointly awarded the Nobel Prize in Physics "for fundamental theoretical investigations of the electronic structure of magnetic and disordered systems" (Nobel Prize Committee). Van Vleck has been called “the father of modern magnetism”. He has developed methods which make it possible to understand how a foreign ion or atom behaves in a crystal. At first the electrons of such a perturbing ton feel the influence of the electric field – the crystal field – which is generated by the atomic nuclei and the electrons of the host crystal. Through its electrons, the perturbing ion can also enter into chemical bonding with its environment which is usually called the ligands. van Vleck was the first to develop the crystal field theory as well as the ligand field theory to describe such phenomena in greater detail. These quantum chemistry methods have now almost become routine tools, particularly within inorganic chemistry with important extensions to molecular biology, medicine and geology.
ALSO INCLUDED: Philip M. Morse’s “Diatomic Molecules According to the Wave Mechanics. II Vibrational Levels” (pp. 57-65). Morse’s presents the ‘Morse potential,’ “a convenient interatomic interaction model for the potential energy of a diatomic molecule. It is a better approximation for the vibrational structure of the molecule than the QHO (quantum harmonic oscillator) because it explicitly includes the effects of bond breaking, such as the existence of unbound states. It also accounts for the anharmonicity of real bonds and the non-zero transition probability for overtone and combination bands. The Morse potential can also be used to model other interactions such as the interaction between an atom and a surface… Its mathematical form inspired the MLR (Morse/Long-range) potential, which is the most popular potential energy function used for fitting spectroscopic data” (Wikipedia).
ALSO INCLUDED: J. C. Slater. The Theory of Complex Spectra, pp. 1293—1322. Item #559
CONDITION & DETAILS: Minneapolis: American Physical Society. Original paper wraps. Complete. Minor rubbing at the edge tips; very slight surface spotting to the wraps; professionally repaired closed tear on the rear wrap and the last five pages – all genuinely unobtrusive. 4to (10 x 7 inches; 250 x 175mm).