Výsledky vyhledávání - "Valentino A. Simpao"

Akademický článek

Operational WKB solution to the initial/final-value problem for Beechem-Haas equations

Autor: Valentino Anthony Simpao

Publikováno v: Electronic Journal of Differential Equations, Vol Conference, Iss 02, Pp 125-131 (2000)

Operational and Wantzel-Kramers-Brillouin (WKB) methods are utilized to obtain an analytical approximate solution of the Beechem-Haas equation for the initial/final-value problem with system parameters of radial profile. The Beechem-Haas equation her

Externí odkaz: https://doaj.org/article/d26940b8746c44f6803500517c3aba69

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Akademický článek

Traveling-wave solutions of a modified Hodgkin-Huxley type neural model via Novel analytical results for nonlinear transmission lines with arbitrary I(V) characteristics

Autor: Valentino Anthony Simpao

Publikováno v: Electronic Journal of Differential Equations, Vol Conference, Iss 02, Pp 131-133 (2000)

Herein an enhanced Hodgkin-Huxley (H-H) type model of neuron dynamics is solved analytically via formal methods. Our model is a variant of an earlier one by M.A. Mahrous and H.Y. Alkahby [1]. Their modified model is realized by a hyperbolic quasi-lin

Externí odkaz: https://doaj.org/article/3f698e863fff42e58ab6ddde1e884752

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Elektronická kniha

Understanding the Schrödinger Equation: Some [Non]Linear Perspectives

Autor: Valentino A. Simpao

This book is a collection of selectively invited manuscripts from some of the world's leading workers in quantum dynamics; particularly concerning Schrödinger's wavefunction formalism. The work is dedicated to providing an “illustrative sketch”

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Real wavefunction from Generalised Hamiltonian Schrodinger Equation in quantum phase space via HOA (Heaviside Operational Ansatz): exact analytical results

Autor: Valentino A. Simpao

Publikováno v: Journal of Mathematical Chemistry. 52:1137-1155

This note reports the decomposition of a complex wavefunction into real and imaginary parts via the Heaviside Operational Ansatz (HOA) in the Quantum Phase Space Representation; this for a Complex Schrodinger Equation (CSE) generated by a given Gener

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::47202027549d3e3078248317c460aa3a
https://doi.org/10.1007/s10910-014-0332-2

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HOA (Heaviside Operational Ansatz) revisited: recent remarks on novel exact solution methodologies in wavefunction analysis

Autor: Valentino A. Simpao

Publikováno v: Journal of Mathematical Chemistry. 50:1931-1972

A viable methodology for the exact analytical solution of the multiparticle Schrodinger and Dirac equations has long been considered a holy grail of theoretical chemistry. Since a benchmark work by Torres-Vega and Frederick in the 1990s, the QPSR (Qu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d6918b6a46d3b9db6564f89a6ab76f9d
https://doi.org/10.1007/s10910-012-0012-z

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Toward chemical applications of Heaviside Operational Ansatz: exact solution of radial Schrodinger equation for nonrelativistic N-particle system with pairwise $${\frac{1}{r_{ij}}}$$ radial potential in quantum phase space

Autor: Valentino A. Simpao

Publikováno v: Journal of Mathematical Chemistry. 45:129-140

This brief note presents the exact analytical solution of an example class of dynamical systems, realized by differential equations. These problems occur in quantum mechanics and their generalizations in theoretical physics, but they particularly fin

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eaa9c2cf6539280f0a5d7193917ee710
https://doi.org/10.1007/s10910-008-9372-9

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