The Uncertainty Principle
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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 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 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 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 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.
The Uncertainty Principle
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Author : Robyn Williams
language : en
Publisher:
Release Date : 1991-01
The Uncertainty Principle written by Robyn Williams and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01 with Science news categories.
A new, enlarged edition of collected conversations with leading scientists, originally shown on the ABC television series of the same name. The new edition includes interviews from the second television series, including encounters with Sir Mark Oliphant, Sir Gustav Nossal, John Dawkins and Harry Butler. The first edition was published in 1989. Williams is now chairman of the Commission for the Future.
The Uncertainty Principle
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Author : Dmitriĭ Bilenkin
language : en
Publisher:
Release Date : 1979
The Uncertainty Principle written by Dmitriĭ Bilenkin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Russian fiction categories.
Uncertainty
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Author : David Lindley
language : en
Publisher: Anchor
Release Date : 2008-02-12
Uncertainty written by David Lindley and has been published by Anchor this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-12 with Science categories.
The gripping, entertaining, and vividly-told narrative of a radical discovery that sent shockwaves through the scientific community and forever changed the way we understand the world. Werner Heisenberg’s “uncertainty principle” challenged centuries of scientific understanding, placed him in direct opposition to Albert Einstein, and put Niels Bohr in the middle of one of the most heated debates in scientific history. Heisenberg’s theorem stated that there were physical limits to what we could know about sub-atomic particles; this “uncertainty” would have shocking implications. In a riveting and lively account, David Lindley captures this critical episode and explains one of the most important scientific discoveries in history, which has since transcended the boundaries of science and influenced everything from literary theory to television.
Toeplitz Approach To Problems Of The Uncertainty Principle
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Author : Alexei Poltoratski
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-03-07
Toeplitz Approach To Problems Of The Uncertainty Principle written by Alexei Poltoratski 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 2015-03-07 with Mathematics categories.
The Uncertainty Principle in Harmonic Analysis (UP) is a classical, yet rapidly developing, area of modern mathematics. Its first significant results and open problems date back to the work of Norbert Wiener, Andrei Kolmogorov, Mark Krein and Arne Beurling. At present, it encompasses a large part of mathematics, from Fourier analysis, frames and completeness problems for various systems of functions to spectral problems for differential operators and canonical systems. These notes are devoted to the so-called Toeplitz approach to UP which recently brought solutions to some of the long-standing problems posed by the classics. After a short overview of the general area of UP the discussion turns to the outline of the new approach and its results. Among those are solutions to Beurling's Gap Problem in Fourier analysis, the Type Problem on completeness of exponential systems, a problem by Pólya and Levinson on sampling sets for entire functions, Bernstein's problem on uniform polynomial approximation, problems on asymptotics of Fourier integrals and a Toeplitz version of the Beurling-Malliavin theory. One of the main goals of the book is to present new directions for future research opened by the new approach to the experts and young analysts. A co-publication of the AMS and CBMS.