Showing papers on "Quantum geometry published in 1968"
TL;DR: In this article, the first quantum correction to a time correlation function was obtained by expanding the quantum-mechanical correlation function in powers of Planck's constant, which may be used to obtain quantum corrections to transport properties.
Abstract: The first quantum correction to a time correlation function is obtained by expanding the quantum‐mechanical correlation function in powers of Planck's constant. Quantum corrections to time correlation functions are of interest because they may be used to obtain quantum corrections to transport properties. An application of the formalism to nuclear spin‐lattice relaxation is included. A formal expression is obtained for the first quantum correction to the lattice time correlation functions. The effect of this correction on the relaxation time is indicated. The possibility of using the first quantum correction to calculate isotope effects on transport properties is discussed.
18 citations
17 citations
TL;DR: In this paper, quantum corrections to the pair distribution function of a plasma at high temperature and low density are calculated to order e 2 in the interaction, using standard diagram perturbation techniques.
Abstract: Quantum‐mechanical corrections to the pair distribution function of a plasma at high temperature and low density are calculated to order e2 in the interaction, using standard diagram perturbation techniques. Both the effects due to quantum statistics (exchange) and the finite size of a wave packet (dynamic screening), are considered.
17 citations
11 citations
10 citations
TL;DR: In this article, the formulation of non-relativistic quantum mechanics using currents and densities as coordinates is investigated, and a general solution for a single particle theory is presented, and several many body problems are discussed.
Abstract: : The formulation of non-relativistic quantum mechanics using currents and densities as coordinates is investigated. A general solution for a single particle theory is presented, and several many body problems are discussed. (Author)
6 citations
[...]
TL;DR: In this paper, the Green's function (GF) concept has been used in many-body theory and quantum mechanics, with reference to both classical and quantum mechanical problems, and the two most important mathematical techniques used in the evaluation of GFs are compared.
Abstract: Summary The motivation for the use of the Green's function (GF) concept in mathematical physics and the diversity of its applications are discussed, with reference to both classical and quantum mechanical problems. First, the impulse response GF is defined and its use is demonstrated in a problem in electrostatics. The connection with the wave response GF is explained and illustrated in an electronics problem. After a review of the use of these concepts in classical problems their unification in quantum mechanics is discussed. An outline of the ideas of quantum field theory prefaces the discussion of the application of GFs to quantum mechanical problems, especially in many-body theory. The two most important mathematical techniques used in the evaluation of GFs are compared.
3 citations
TL;DR: Using Bunge's procedures, non-relativistic quantum mechanics is discussed in this paper and it is shown that if a certain carefully defined idea of determinism is included in the presentation, operators which are not Hermitian need to be used to describe physical processes.
Abstract: Using Bunge's procedures, non-relativistic quantum mechanics is discussed. It is shown that if a certain carefully defined idea of determinism is included in the presentation, operators which are not Hermitian need to be used to describe physical processes. An absolute time scale is suggested.