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19972026
most citedImbibition in Disordered Media

290 citations

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Showing 2012Show all

5 papers · 1 filter

math.AP2012★ 21 cited

Wave polynomials, transmutations and Cauchy's problem for the Klein-Gordon equation

Kira V. Khmelnytskaya, Vladislav V. Kravchenko, Sergii M. Torba +1

We prove a completeness result for a class of polynomial solutions of the wave equation called wave polynomials and construct generalized wave polynomials, solutions of the Klein-G…

quant-ph2012★ 6 cited

Absorbers in the Transactional Interpretation of Quantum Mechanics

Jean-Sebastien Boisvert, Louis Marchildon

The transactional interpretation of quantum mechanics, following the time-symmetric formulation of electrodynamics, uses retarded and advanced solutions of the Schrodinger equation…

math-ph2012★ 12 cited

The bicomplex quantum Coulomb potential problem

J. Mathieu, L. Marchildon, D. Rochon

Generalizations of the complex number system underlying the mathematical formulation of quantum mechanics have been known for some time, but the use of the commutative ring of bico…

math.FA2012

Infinite Dimensional Bicomplex Spectral Decomposition Theorem

Kuldeep Singh Charak, Ravinder Kumar, Dominic Rochon

This paper presents a bicomplex version of the Spectral Decomposition Theorem on infinite dimensional bicomplex Hilbert spaces. In the process, the ideas of bounded linear operator…

math-ph2012★ 10 cited

Multimode solutions of first-order elliptic quasilinear systems obtained from Riemann invariants

A. M. Grundland, V. Lamothe

Two new approaches to solving first-order quasilinear elliptic systems of PDEs in many dimensions are proposed. The first method is based on an analysis of multimode solutions expr…