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Heisenberg’s Uncertainties and the Probabilistic Interpretation of Wave Mechanics

Heisenberg’s Uncertainties and the Probabilistic Interpretation of Wave Mechanics PDF Author: Louis de Broglie
Publisher: Springer Science & Business Media
ISBN: 9400921276
Category : Science
Languages : en
Pages : 342

Book Description
LOUIS DE BROGLIE AND THE SINGLE QUANTUM PARTICLE By A. O. Barut We have abundant evidence and testimony that Louis de Broglie deeply cared about the foundations, the meaning, and our understanding of quantum theory in general and of wave mechanics in particular. So, too, did Erwin Schrodinger, along with Einstein, Bohr, Dirac, and Heisenberg. For de Broglie and Schrodinger this preoccupation meant not simply the acceptance of a novel set of rules, but a constant struggle and a search for complete clarity about the way in which the new theory fits into the great classical traditions of an objective physical world view. We may call this a striving for "physical rigor," rigor in reasoning, or intellectual rigor. There is not only mathematical rigor inside an axiomatic system with which everybody agrees, but there is, and there should be, rigor also in our concepts and methods. To this kind of rigor belongs the unity, the economy and simplicity, and the consistency of physical theories; naturally along with as complete and as clear an understanding of phenomena as possible. No loose ends, no proliferation of poorly tested and phenomenological entities, no bending of logic and compromise, and no handwaiving arguments can be tolerated. Unfortunately this kind of rigor seems to be missing in today's forefront of fundamental physical theories, viz. , particle or high-energy physics.

Heisenberg’s Uncertainties and the Probabilistic Interpretation of Wave Mechanics

Heisenberg’s Uncertainties and the Probabilistic Interpretation of Wave Mechanics PDF Author: Louis de Broglie
Publisher: Springer Science & Business Media
ISBN: 9400921276
Category : Science
Languages : en
Pages : 342

Book Description
LOUIS DE BROGLIE AND THE SINGLE QUANTUM PARTICLE By A. O. Barut We have abundant evidence and testimony that Louis de Broglie deeply cared about the foundations, the meaning, and our understanding of quantum theory in general and of wave mechanics in particular. So, too, did Erwin Schrodinger, along with Einstein, Bohr, Dirac, and Heisenberg. For de Broglie and Schrodinger this preoccupation meant not simply the acceptance of a novel set of rules, but a constant struggle and a search for complete clarity about the way in which the new theory fits into the great classical traditions of an objective physical world view. We may call this a striving for "physical rigor," rigor in reasoning, or intellectual rigor. There is not only mathematical rigor inside an axiomatic system with which everybody agrees, but there is, and there should be, rigor also in our concepts and methods. To this kind of rigor belongs the unity, the economy and simplicity, and the consistency of physical theories; naturally along with as complete and as clear an understanding of phenomena as possible. No loose ends, no proliferation of poorly tested and phenomenological entities, no bending of logic and compromise, and no handwaiving arguments can be tolerated. Unfortunately this kind of rigor seems to be missing in today's forefront of fundamental physical theories, viz. , particle or high-energy physics.

An Introduction to the Study of Wave Mechanics

An Introduction to the Study of Wave Mechanics PDF Author: Louis De Broglie
Publisher: Phillips Press
ISBN: 1443723193
Category : Science
Languages : en
Pages : 270

Book Description
AN INTRODUCTION TO THE STUDY OF WAVE MECHANICS by LOUIS DE BROGLIE. Originally published in 1930. Contents include: INTRODUCTION 1 CHAPTER I HE OLD SYSTEMS OF MECHANICS OP A PARTICLE 11 CHAPTER II J HB THEORY OF JACOBI 26 CHAPTER III THE CONCEPTIONS UNDERLYING WAVE MECHANICS 39 CHAPTER IV GENERAL REMARKS ON WAVE PROPAGATION 49 CHAPTER V THE EQUATIONS OF PROPAGATION OF THE WAVE ASSOCIATED WITH A PARTICLE 68 CHAPTER VI CLASSICAL MECHANICS AND WAVE MECHANICS 79, CHAPTER VII THE PRINCIPLE OF INTERFERENCE AND THE DIFFRACTION OF ELECTRONS BY CRYSTALS 88 CHAPTER VIII THE PRINCIPLE OF INTERFERENCE AND THE SCATTERING OF CHARGED PARTICLES BY A FIXED CENTRE 102 CHAPTER IX THE MOTION OF THB PROBABILITY WAVE IN THE NEW MECHANICS . .111 CHAPTER X THE WAVE MECHANICS OF LIGHT QUANTA, 12 CHAPTER XI THE THEORY OF BOHR AND HBWENBERG vi An Introduction to the Study of Wave Mechanics CHAPTER XII PAG THB POSSIBILITY OF MEASUREMENT AND HBISENBERGS RELATIONS ., 1 CHAPTER XIII THE PROPAGATION OF A TRAIN OF -WAVES IN THE ABSENCE OF A FIELD OF FORCE AND IN A UNIFORM FIELD 1 CHAPTER XIV WAVE MECHANICS OF SYSTEMS OF PARTICLES IVs CHAPTER XV THE INTERPRETATION OF THE WAVE ASSOCIATED WITH THE MOTION OF A SYSTEM 188 CHAPTER XVI THE OLD QUANTUM THEORY AND THE STABILITY OF PERIODIC MOTION . 199 CHAPTER XVII THE STABILITY OF QUANTISED MOTION FROM THE POINT OF VIEW OF WAVE MECHANICS .... 212 CHAPTER XVIII SOME EXAMPLES OF QUANTISATION 227 CHAPTER XIX THE MEANING OF THE -WAVES OF QUANTISED SYSTEMS .... 238 INDEX 247. AN INTRODUCTION TO THE STUDY OF WAVE MECHANICS. GENERAL INTRODUCTION: THE new wave mechanics has received during the past two years the firm support of experiment, thanks to the discovery of a strikingphenomenon completely unknown previously, viz. the diffraction of electrons by crystals. From one point of view it may be said that this discovery is the exact counterpart of the older discovery of the photo electric effect, since it shows that for matter as for light we have hitherto neglected one of the aspects of physical reality. The discovery of the photo-electric effect has taught us that the undulatory theory of light, firmly established by Fresnel and subsequently developed by Maxwell as the electro magnetic theory, although it contains a large body of truth, is, nevertheless, insufficient, and that it is necessary, in a certain sense, to turn again to the corpuscular conception of light proposed by Newton. Planck, in his famous theory of black body radiation, was led to assume that radiation of frequency v is always emitted and absorbed in equal and finite quantities, in quanta of magnitude hv, h being the constant with which the name of Planck will always be associated. In order to explain the photo-electric effect, Einstein had only to adopt the hypothesis, which is quite in conformity with the ideas of Planck, that light consists of corpuscles and that the energy of the cor puscles of light of frequency v is hv. When a light corpuscle in its passage through matter encounters an electron at rest, it can impart o it its energy hv and the electron thus set in 1 This introduction is the reproduction of a communication made by the author at the meeting of the British Association for the Advance ment of Science held in Glasgow in September, 1928, 1 2 An Introduction to the Study of Wave Mechanics motion will leave the matter with kinetic energy equal in amount to the differencebetween the energy hv, which it has received, and the work it has had to expend to get out of the matter. Now, this is precisely the experimental law of the photo-electric effect in the form which has been verified in succession for all the radiations from the ultra-violet region to X-and y-rays...

University Physics

University Physics PDF Author: OpenStax
Publisher:
ISBN: 9781680920451
Category : Science
Languages : en
Pages : 622

Book Description
University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale.

The Physical Principles of the Quantum Theory

The Physical Principles of the Quantum Theory PDF Author: Werner Heisenberg
Publisher: Courier Corporation
ISBN: 0486318419
Category : Science
Languages : en
Pages : 212

Book Description
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 Quantum Handshake

The Quantum Handshake PDF Author: John G. Cramer
Publisher: Springer
ISBN: 3319246429
Category : Science
Languages : en
Pages : 233

Book Description
This book shines bright light into the dim recesses of quantum theory, where the mysteries of entanglement, nonlocality, and wave collapse have motivated some to conjure up multiple universes, and others to adopt a "shut up and calculate" mentality. After an extensive and accessible introduction to quantum mechanics and its history, the author turns attention to his transactional model. Using a quantum handshake between normal and time-reversed waves, this model provides a clear visual picture explaining the baffling experimental results that flow daily from the quantum physics laboratories of the world. To demonstrate its powerful simplicity, the transactional model is applied to a collection of counter-intuitive experiments and conceptual problems.

The Infamous Boundary

The Infamous Boundary PDF Author: David Wick
Publisher: Springer Science & Business Media
ISBN: 9780817637859
Category : Science
Languages : en
Pages : 260

Book Description
reprinted in the British trade journal Physics World in 1990, three separate and 5 lengthy replies from establishment physicists were printed in subsequent issues. For outsiders, especially scientists who rely on physicist's theories in their own fields, this situation is disquieting. Moreover, many recall their introduction to quantum mechanics as a startling, if not shocking, experience. A molecular biologist related how he had started in theoretical physics but, after hearing the ideology of quantum mechanics, marched straight to the Reg istrar's office and switched fields. A colleague recalled how her undergraduate chemistry professor religiously entertained queries from the class - until one day he began with the words: "No questions will be permitted on today's lecture." The topic, of course, was quantum mechanics. My father, an organic chemist at a Midwestern university, also had to give that dreaded annual lecture. Around age 16, I picked up a little book he used to prepare and was perplexed by the author's tone, which seemed apologetic to the point of pleading. It was my first brush with the quantum theory. 6 Eventually, I went to graduate school in physics. By then I had acquired an historical bent, which developed out of an episode in my freshman year in college. To relieve the tedium of the introductory physics course, I set out to understand Einstein's theory of relativity (the so-called Special Theory of 1905, not the later and more difficult General Theory of 1915). This went badly at first.

Heisenberg's Uncertainties and the Probabilistic Interpretation of Wave Mechanics

Heisenberg's Uncertainties and the Probabilistic Interpretation of Wave Mechanics PDF Author: Louis De Broglie
Publisher:
ISBN: 9789400921283
Category :
Languages : en
Pages : 352

Book Description


The Physics of Quantum Mechanics

The Physics of Quantum Mechanics PDF Author: James Binney
Publisher: Oxford University Press, USA
ISBN: 0199688575
Category : Science
Languages : en
Pages : 408

Book Description
This title gives students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.

Creating Modern Probability

Creating Modern Probability PDF Author: Jan von Plato
Publisher: Cambridge University Press
ISBN: 1316583643
Category : Science
Languages : en
Pages : 336

Book Description
This is the only book to chart the history and development of modern probability theory. It shows how in the first thirty years of this century probability theory became a mathematical science. The author also traces the development of probabilistic concepts and theories in statistical and quantum physics. There are chapters dealing with chance phenomena, as well as the main mathematical theories of today, together with their foundational and philosophical problems. Among the theorists whose work is treated at some length are Kolmogorov, von Mises and de Finetti. The principal audience for the book comprises philosophers and historians of science, mathematicians concerned with probability and statistics, and physicists. The book will also interest anyone fascinated by twentieth-century scientific developments because the birth of modern probability is closely tied to the change from a determinist to an indeterminist world-view.

Complexity and Creative Capacity

Complexity and Creative Capacity PDF Author: Kelly Chapman
Publisher: Routledge
ISBN: 1317398130
Category : Science
Languages : en
Pages : 258

Book Description
Complexity theories gained prominence in the 1990s with a focus on self-organising and complex adaptive systems. Since then, complexity theory has become one of the fastest growing topics in both the natural and social sciences, and touted as a revolutionary way of understanding the behaviour of complex systems. This book uses complexity theory to surface and challenge the deeply held cultural assumptions that shape how we think about reality and knowledge. In doing so it shows how our traditional approaches to generating and applying knowledge may be paradoxically exacerbating some of the ‘wicked’ environmental problems we are currently facing. The author proposes an innovative and compelling argument for rejecting old constructs of knowledge transfer, adaptive management and adaptive capacity. The book also presents a distinctively coherent and comprehensive synthesis of cognition, learning, knowledge and organizing from a complexity perspective. It concludes with a reconceptualization of the problem of knowledge transfer from a complexity perspective, proposing the concept of creative capacity as an alternative to adaptive capacity as a measure of resilience in socio-ecological systems. Although written from an environmental management perspective, it is relevant to the broader natural sciences and to a range of other disciplines, including knowledge management, organizational learning, organizational management, and the philosophy of science.