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Physics Bulletin

Quantum Mechanics

Leo Pincherle

Published Nov 1, 1966• 0 citations
Publisher

Abstract

Volume 2: New Quantum Theory S.I. Tomonaga Amsterdam: North Holland . 1966 Pp. xi + 474. Price £5. There is a recurring theme in this second volume of Professor Tomonaga's original and stimulating work: the dualism wave-particle. Throughout the development of wave and quantum mechanics the dilemma is never far in the background, until its final solution following the study of many-particle systems and quantized wave fields.

DOI
10.1088/0031-9112/17/11/009

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Volume 2: New Quantum Theory S.I. Tomonaga Amsterdam: North Holland . 1966 Pp. xi + 474. Price £5. There is a recurring theme in this second volume of Professor Tomonaga's original and stimulating work: the dualism wave-particle. Throughout the development of wave and quantum mechanics the dilemma is never far in the background, until its final solution following the study of many-particle systems and quantized wave fields.
H J Lipkin Amsterdam: North-Holland 1973 pp xv + 465 price Dfl 95 The author himself explains that this volume can be considered as a collection of self contained monographs, dealing with such topics as the Mossbauer effect (introducing ‘form factor physics‘), many body theory (second quantization techniques), kaon physics (applications of time-dependent perturbation theory), scattering theory, Feynman diagrams, and relativistic quantum mechanics. Concepts and techniques are presented with clarity, and their use well illustrated through application to problems of real physical interest.
This book covers the entire span of quantum mechanics whose developments have taken place during the early part of the twentieth century up till the present day. We start with the Rutherford-Bohr model of the atom followed by Schrodinger's wave mechanics with its application to the solution of calculating the energy spectrum of a particle in a box, the harmonic oscillator and finally the hydrogen atom. Heisenberg's matrix mechanics and its duality with Schrodinger's wave mechanics, quantum mechanics in the interaction picture. Dirac's relativistic theory of the electron exhibiting the spin of the electron as a relativistic effect when it interacts with an external electromagnetic field. Feynman's path integral approach to non-relativistic quantum mechanics with is a marvellous intuitive interpretation as a sum over paths and how classical mechanics is obtained from its limit as Planck' constant tends to zero, methods for computing the spectra of the Dirac Hamiltonian in a radial potential, quantum field theory as developed by Feynman, Schwinger, Tomonaga and Dyson for describing the interaction between electrons, positrons, and photons via propagators using both the operator theoretic expansions and Feynman's path integral. We also introduce time independent and time dependent perturbation theory in quantum mechanics with applications to quantum gate design for quantum computers forming a major part of the research conducted by the author's research group, Quantum noise introduced into the Schrodinger and Dirac's equation based on the Hudson-Parthasarathy quantum stochastic calculus in Boson Fock space, scattering theory and wave operators with applications to quantum gate design, some aspects of second quantization like the interpretation of Boson Fock space in terms of harmonic oscillator algebras and the BCS theory of superconductivity, Wigner-Mackey-Frobenius theory of induced representations of a group with applications to Wigner's theory of particle classification, Dirac's equation in a gravitational field and Yang-Mills non-Abelian gauge theories with application to the construction of unified quantum field theories and finally, the more recent theory of super-symmetry which is a Boson-Fermion unification theory. We have discussed the statistics of Boson's, Fermions and Maxwell-Boltzmann based on entropy maximization. The book is written in problem-solution format and it would be of use to physicists and engineers interested respectively in developing unified field theories and in the design of quantum gates. Note: T&F does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.