Mathematics Of Particle Wave Mechanical Systems

DOWNLOAD

Download Mathematics Of Particle Wave Mechanical Systems PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Mathematics Of Particle Wave Mechanical Systems book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Mathematics Of Particle Wave Mechanical Systems

DOWNLOAD
Author : James M. Hill
language : en
Publisher: Springer Nature
Release Date : 2022-11-30

Mathematics Of Particle Wave Mechanical Systems written by James M. Hill and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-30 with Science categories.

Despite successes of modern physics, the existence of dark energy and matter is indicative that conventional mechanical accounting is lacking. The most basic of all mechanical principles is Newton’s second law, and conventionally, energy is just energy whether particle or wave energy. In this monograph, Louis de Broglie’s idea of simultaneous existence of both particle and associated wave is developed, with a novel proposal to account for mass and energy through a combined particle-wave theory. Newton’s second law of motion is replaced by a fully Lorentz invariant reformulation inclusive of both particles and waves. The model springs from continuum mechanics and forms a natural extension of special relativistic mechanics. It involves the notion of “force in the direction of time” and every particle has both particle and wave energies, arising as characteristics of space and time respectively. Dark matter and energy then emerge as special or privileged states occurring for alignments of spatial forces with the force in the direction of time. Dark matter is essentially a backward wave and dark energy a forward wave, both propagating at the speed of light. The model includes special relativistic mechanics and Schrödinger’s quantum mechanics, and the major achievements of mechanics and quantum physics. Our ideas of particles and waves are not yet properly formulated, and are bound up with the speed of light as an extreme limit and particle-wave demarcation. Sub-luminal particles have an associated superluminal wave, so if sub-luminal waves have an associated superluminal particle, then there emerges the prospect for faster than light travel with all the implications for future humanity. Carefully structured over special relativity and quantum mechanics, Mathematics of Particle-Wave Mechanical Systems is not a completed story, but perhaps the first mechanical model within which such exalted notions might be realistically and soberly examined. If ultimately the distant universe become accessible, this will necessitate thinking differently about particles, waves and the role imposed by the speed of light. The text constitutes a single proposal in that direction and a depository for mathematically related results. It will appeal to researchers and students of mathematical physics, applied mathematics and engineering mechanics.

The Mathematical Structure Of Stable Physical Systems

DOWNLOAD
Author : Dr. Martin Concoyle & G.P. Coatmundi
language : en
Publisher: Trafford Publishing
Release Date : 2014

The Mathematical Structure Of Stable Physical Systems written by Dr. Martin Concoyle & G.P. Coatmundi and has been published by Trafford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Education categories.

This book is an introduction to the simple math patterns used to describe fundamental, stable spectral-orbital physical systems (represented as discrete hyperbolic shapes), the containment set has many-dimensions, and these dimensions possess macroscopic geometric properties (which are also discrete hyperbolic shapes). Thus, it is a description which transcends the idea of materialism (ie it is higher-dimensional), and it can also be used to model a life-form as a unified, high-dimension, geometric construct, which generates its own energy, and which has a natural structure for memory, where this construct is made in relation to the main property of the description being, in fact, the spectral properties of both material systems and of the metric-spaces which contain the material systems, where material is simply a lower dimension metric-space, and where both material-components and metric-spaces are in resonance with the containing space. Partial differential equations are defined on the many metric-spaces of this description, but their main function is to act on either the, usually, unimportant free-material components (to most often cause non-linear dynamics) or to perturb the orbits of the, quite often condensed, material trapped by (or within) the stable orbits of a very stable hyperbolic metric-space shape.

Mathematics Of Physics And Engineering

DOWNLOAD
Author : Edward K. Blum
language : en
Publisher: World Scientific
Release Date : 2006

Mathematics Of Physics And Engineering written by Edward K. Blum and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

Aimed at scientists and engineers, this book is an exciting intellectual journey through the mathematical worlds of Euclid, Newton, Maxwell, Einstein, and Schrodinger-Dirac.While similar books present the required mathematics in a piecemeal manner with tangential references to the relevant physics and engineering, this textbook serves the interdisciplinary needs of engineers, scientists and applied mathematicians by unifying the mathematics and physics into a single systematic body of knowledge but preserving the rigorous logical development of the mathematics.The authors take an unconventional approach by integrating the mathematics with its motivating physical phenomena and, conversely, by showing how the mathematical models predict new physical phenomena.

Mathematical Challenges From Theoretical Computational Chemistry

DOWNLOAD
Author : Committee on Mathematical Challenges from Computational Chemistry
language : en
Publisher: National Academies Press
Release Date : 1995-04-12

Mathematical Challenges From Theoretical Computational Chemistry written by Committee on Mathematical Challenges from Computational Chemistry and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-04-12 with Mathematics categories.

Computational methods are rapidly becoming major tools of theoretical, pharmaceutical, materials, and biological chemists. Accordingly, the mathematical models and numerical analysis that underlie these methods have an increasingly important and direct role to play in the progress of many areas of chemistry. This book explores the research interface between computational chemistry and the mathematical sciences. In language that is aimed at non-specialists, it documents some prominent examples of past successful cross-fertilizations between the fields and explores the mathematical research opportunities in a broad cross-section of chemical research frontiers. It also discusses cultural differences between the two fields and makes recommendations for overcoming those differences and generally promoting this interdisciplinary work.

Particle Or Wave

DOWNLOAD
Author : Charis Anastopoulos
language : en
Publisher: Princeton University Press
Release Date : 2008

Particle Or Wave written by Charis Anastopoulos and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.

'Particle or Wave' explains the origins and development of modern physical concepts about matter and the controversies surrounding them.

Regularity And Approximability Of Electronic Wave Functions

DOWNLOAD
Author : Harry Yserentant
language : en
Publisher: Springer
Release Date : 2010-05-19

Regularity And Approximability Of Electronic Wave Functions written by Harry Yserentant and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-19 with Mathematics categories.

The electronic Schrodi ̈ nger equation describes the motion of N electrons under Coulomb interaction forces in a eld of clamped nuclei. Solutions of this equation depend on 3N variables, three spatial dimensions for each electron. Approxim- ing the solutions is thus inordinately challenging, and it is conventionally believed that a reduction to simpli ed models, such as those of the Hartree-Fock method or density functional theory, is the only tenable approach. This book seeks to c- vince the reader that this conventional wisdom need not be ironclad: the regularity of the solutions, which increases with the number of electrons, the decay behavior of their mixed derivatives, and the antisymmetry enforced by the Pauli principle contribute properties that allow these functions to be approximated with an order of complexity which comes arbitrarily close to that for a system of one or two electrons. The present notes arose from lectures that I gave in Berlin during the academic year 2008/09 to introduce beginning graduate students of mathematics into this subject. They are kept on an intermediate level that should be accessible to an audience of this kind as well as to physicists and theoretical chemists with a c- responding mathematical training.

Transconsciousness

DOWNLOAD
Author : Steve Madison
language : en
Publisher: Magus Books
Release Date : 2020-10-12

Transconsciousness written by Steve Madison and has been published by Magus Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-12 with Body, Mind & Spirit categories.

Are you one of the few individuals capable of understanding and attaining Transconsciousness? Dante, Hegel and Philip K. Dick were pioneers in this field. Can you join the greats?

Mathematics Matter And Method Volume 1

DOWNLOAD
Author : Hilary Putnam
language : en
Publisher: Cambridge University Press
Release Date : 2012-05-11

Mathematics Matter And Method Volume 1 written by Hilary Putnam and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-11 with Philosophy categories.

Evolution Equations

DOWNLOAD
Author : David Ellwood
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-06-26

Evolution Equations written by David Ellwood and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-26 with Mathematics categories.

This volume is a collection of notes from lectures given at the 2008 Clay Mathematics Institute Summer School, held in Zürich, Switzerland. The lectures were designed for graduate students and mathematicians within five years of the Ph.D., and the main focus of the program was on recent progress in the theory of evolution equations. Such equations lie at the heart of many areas of mathematical physics and arise not only in situations with a manifest time evolution (such as linear and nonlinear wave and Schrödinger equations) but also in the high energy or semi-classical limits of elliptic problems. The three main courses focused primarily on microlocal analysis and spectral and scattering theory, the theory of the nonlinear Schrödinger and wave equations, and evolution problems in general relativity. These major topics were supplemented by several mini-courses reporting on the derivation of effective evolution equations from microscopic quantum dynamics; on wave maps with and without symmetries; on quantum N-body scattering, diffraction of waves, and symmetric spaces; and on nonlinear Schrödinger equations at critical regularity. Although highly detailed treatments of some of these topics are now available in the published literature, in this collection the reader can learn the fundamental ideas and tools with a minimum of technical machinery. Moreover, the treatment in this volume emphasizes common themes and techniques in the field, including exact and approximate conservation laws, energy methods, and positive commutator arguments. Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).

Philosophical Papers Volume 1 Mathematics Matter And Method

DOWNLOAD
Author : Hilary Putnam
language : en
Publisher: Cambridge University Press
Release Date : 1979-04-30

Philosophical Papers Volume 1 Mathematics Matter And Method written by Hilary Putnam and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-04-30 with Mathematics categories.

This volume deals with the philosophy of mathematics and of science and the nature of philosophical and scientific enquiry.