We present a simple and efficient method for calculating symmetrized time correlation functions of neat quantum fluids. Using the pair-product approximation to each complex-time quantum mechanical propagator, symmetrized correlation functions are written in terms of a double integral for each degree of freedom with a purely positive integrand. At moderate temperatures and densities, where the p...

This paper is an answer to the preceding paper by Kastner, in which she continued the criticism of the counterfactual usage of the Aharonov ± Bergman ± Lebowitz rule in the framework of the time-symmetrized quantum theory, in particular, by analyzing the three-box `̀ paradox .’ ’ It is argued that the criticism is not sound . Paradoxical features of the three-box example are discussed. It is exp...

Non-Hermitian but PφTφ-symmetrized spherically-separable Dirac and Schrödinger Hamiltonians are considered. It is observed that the descendant Hamiltonians Hr, Hθ, and Hφ play essential roles and offer some ”user-feriendly” options as to which one (or ones) of them is (or are) nonHermitian. Considering a PφTφ-symmetrized Hφ, we have shown that the conventional Dirac (relativistic) and Schröding...

A non-Hermitian PφTφ-symmetrized spherically-separable Dirac Hamiltonian is considered. It is observed that the descendant Hamiltonians Hr, Hθ, and Hφ play essential roles and offer some ”user-feriendly” options as to which one (or ones) of them is (or are) non-Hermitian. Considering a PφTφ-symmetrized Hφ, we have shown that the conventional relativistic energy eigenvalues are recoverable. We h...

Abstract We compare the solutions of two Poisson problems in a spherical shell with Robin boundary conditions, one given data, and where data have been cap symmetrized. When parameters are nonnegative, we show that solution to symmetrized problem has larger convex means. Sending $+\infty $ , obtain mixed Robin/Dirichlet comparison results shells. prove similar on balls principle generalized cyl...

In this paper, we introduce a subclass of chordal graphs which contains $d$-trees and show that their complement are vertex decomposable and so is shellable and sequentially Cohen-Macaulay.