An Introduction To The Uncertainty Principle
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An Introduction To The Uncertainty Principle
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Author : Sundaram Thangavelu
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To The Uncertainty Principle written by Sundaram Thangavelu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In 1932 Norbert Wiener gave a series of lectures on Fourier analysis at the Univer sity of Cambridge. One result of Wiener's visit to Cambridge was his well-known text The Fourier Integral and Certain of its Applications; another was a paper by G. H. Hardy in the 1933 Journalofthe London Mathematical Society. As Hardy says in the introduction to this paper, This note originates from a remark of Prof. N. Wiener, to the effect that "a f and g [= j] cannot both be very small". ... The theo pair of transforms rems which follow give the most precise interpretation possible ofWiener's remark. Hardy's own statement of his results, lightly paraphrased, is as follows, in which f is an integrable function on the real line and f is its Fourier transform: x 2 m If f and j are both 0 (Ix1e- /2) for large x and some m, then each is a finite linear combination ofHermite functions. In particular, if f and j are x2 x 2 2 2 both O(e- / ), then f = j = Ae- / , where A is a constant; and if one x 2 2 is0(e- / ), then both are null.
An Introduction To The Uncertainty Principle
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Author : Sundaram Thangavelu
language : en
Publisher:
Release Date : 2004
An Introduction To The Uncertainty Principle written by Sundaram Thangavelu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Harmonic analysis categories.
The Uncertainty Principle And Foundations Of Quantum Mechanics
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Author : William C. Price
language : en
Publisher: John Wiley & Sons
Release Date : 1977
The Uncertainty Principle And Foundations Of Quantum Mechanics written by William C. Price and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Science categories.
The Uncertainty Principle In Harmonic Analysis
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Author : Victor Havin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Uncertainty Principle In Harmonic Analysis written by Victor Havin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The present book is a collection of variations on a theme which can be summed up as follows: It is impossible for a non-zero function and its Fourier transform to be simultaneously very small. In other words, the approximate equalities x :::::: y and x :::::: fj cannot hold, at the same time and with a high degree of accuracy, unless the functions x and yare identical. Any information gained about x (in the form of a good approximation y) has to be paid for by a corresponding loss of control on x, and vice versa. Such is, roughly speaking, the import of the Uncertainty Principle (or UP for short) referred to in the title ofthis book. That principle has an unmistakable kinship with its namesake in physics - Heisenberg's famous Uncertainty Principle - and may indeed be regarded as providing one of mathematical interpretations for the latter. But we mention these links with Quantum Mechanics and other connections with physics and engineering only for their inspirational value, and hasten to reassure the reader that at no point in this book will he be led beyond the world of purely mathematical facts. Actually, the portion of this world charted in our book is sufficiently vast, even though we confine ourselves to trigonometric Fourier series and integrals (so that "The U. P. in Fourier Analysis" might be a slightly more appropriate title than the one we chose).
Uncertainty Principle Of Werner Heisenberg
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Author : IntroBooks Team
language : en
Publisher: IntroBooks
Release Date :
Uncertainty Principle Of Werner Heisenberg written by IntroBooks Team and has been published by IntroBooks this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.
Quantum mechanics is widely considered to be the scientific theory that is one's best choice for the fundamental and universal explanation of the physical world. The conceptual structure used in this theory varies dramatically from that of classical physics. After all, the transition from classical to quantum physics is a true revolution in people's understanding of the physical universe. One striking feature of the distinction between classical and quantum physics is that while classical mechanics assumes that precise simultaneous values can be assigned to all physical quantities, quantum mechanics, on the other hand, rejects this possibility, the classic example being the momentum and position of a particle.
The Physical Principles Of The Quantum Theory
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Author : Werner Heisenberg
language : en
Publisher: Courier Corporation
Release Date : 2013-04-15
The Physical Principles Of The Quantum Theory written by Werner Heisenberg and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-15 with Science categories.
Nobel Laureate discusses quantum theory, uncertainty, wave mechanics, work of Dirac, Schroedinger, Compton, Einstein, others. "An authoritative statement of Heisenberg's views on this aspect of the quantum theory." — Nature.
The Physical Principles Of The Quantum Theory
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Author : Werner Heisenberg
language : en
Publisher: Courier Corporation
Release Date : 1949-01-01
The Physical Principles Of The Quantum Theory written by Werner Heisenberg and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949-01-01 with Science categories.
Nobel Laureate discusses quantum theory, uncertainty, wave mechanics, work of Dirac, Schroedinger, Compton, Einstein, others. "An authoritative statement of Heisenberg's views on this aspect of the quantum theory." ? Nature.
The Uncertainty Principle And Foundations Of Quantum Mechanics
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Author : William C. Price
language : en
Publisher:
Release Date : 1977
The Uncertainty Principle And Foundations Of Quantum Mechanics written by William C. Price and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Heisenberg uncertainty principle categories.
An Introduction To The Electron Theory Of Solids
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Author : John Stringer
language : en
Publisher: Elsevier
Release Date : 2013-10-22
An Introduction To The Electron Theory Of Solids written by John Stringer and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Science categories.
An Introduction to the Electron Theory of Solids introduces the reader to the electron theory of solids. Topics covered range from the breakdown of classical theory to atomic spectra and the old quantum theory, as well as the uncertainty principle of Heisenberg and the foundations of quantum mechanics. Some problems in wave mechanics and a wave-mechanical treatment of the simple harmonic oscillator and the hydrogen atom are also presented. Comprised of 12 chapters, this book begins with an introduction to Isaac Newton's theory of classical mechanics and how the scientists after him discounted his ideas. The discussion then turns to the spectrum of atomic hydrogen and the old quantum theory; Heisenberg's uncertainty principle and the consequences of wave-particle duality; the foundations of quantum mechanics; and assemblies of atoms. Atoms in motion and statistical mechanics are also considered, along with simple models of metals and the band theory of solids. The final chapter presents some results of band theory, with particular reference to thermal ionization of impurity atoms and conductivity of metals. This monograph is primarily intended for students of any discipline.
Introducing Quantum Theory
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Author : J.P. McEvoy
language : en
Publisher: Icon Books Ltd
Release Date : 2014-06-05
Introducing Quantum Theory written by J.P. McEvoy and has been published by Icon Books Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-05 with Science categories.
Quantum theory confronts us with bizarre paradoxes which contradict the logic of classical physics. At the subatomic level, one particle seems to know what the others are doing, and according to Heisenberg's "uncertainty principle", there is a limit on how accurately nature can be observed. And yet the theory is amazingly accurate and widely applied, explaining all of chemistry and most of physics. Introducing Quantum Theory takes us on a step-by-step tour with the key figures, including Planck, Einstein, Bohr, Heisenberg and Schrodinger. Each contributed at least one crucial concept to the theory. The puzzle of the wave-particle duality is here, along with descriptions of the two questions raised against Bohr's "Copenhagen Interpretation" - the famous "dead and alive cat" and the EPR paradox. Both remain unresolved.