The Quantum Mechanics Solver: How to Apply Quantum Theory to Modern Physics, edition 2nd

2007 ◽  
Vol 39 (29) ◽  
pp. 8604-8604
Author(s):  
J M Robbin
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Modern Physics

scholarly journals Consistent description of microscopic phenomena by macroscopic observers in quantum theory

2021 ◽  
Author(s):  
Alexey Kryukov
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Quantum Physics ◽  
Random Noise ◽  
Thought Experiments ◽  
Newtonian Physics ◽  
Measurement Results ◽  
Modern Physics ◽  
Measured System ◽  
Physical Phenomena

Abstract Quantum mechanics is the foundation of modern physics that is thought to be applicable to all physical phenomena, at least in principle. However, when applied to macroscopic bodies, the theory seems to be inconsistent. Wigner's friend and related thought experiments demonstrate that accounts by different observers described by the rules of quantum mechanics may be contradictory. Although still highly debated, such experiments seem to demonstrate an incompatibility of quantum mechanics with the usual rules of logic. Alternatively, one of the hidden assumptions in the thought experiments must be wrong. For instance, the argument is invalidated if macroscopic observers cannot be considered as physical systems described by the rules of quantum theory. Here we prove that there is a way to apply the rules of quantum mechanics to macroscopic observers while avoiding contradictory accounts of measurement by the observers. The key to this is the random noise that is ever present in nature and that represents the uncontrollable part of interaction between measured system and the surroundings in classical and quantum physics. By exploring the effect of the noise on microscopic and macroscopic bodies, we demonstrate that accounts of Wigner, the friend and other agents all become consistent. Our result suggests that the existing attempts to modify the Schrodinger equation to account for measurement results may be misguided. More broadly, the proposed mechanism for modeling measurements underlies the phenomenon of decoherence and is shown to be sufficient to explain the transition to Newtonian physics in quantum theory.

scholarly journals General Quantum Theory: II ----Measuring & Identical Theorems, Origins & Classifications of Entanglements and Solution to Crisis of Wave Collapse

2021 ◽  
Author(s):  
C. Huang ◽  
Yong-Chang Huang ◽  
Yi-You Nie
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Quantum Theory ◽  
Statistical Mechanics ◽  
Particle System ◽  
Square Root ◽  
Classical Statistical Mechanics ◽  
Wave Particle Duality ◽  
Wave Collapse ◽  
Modern Physics

This paper derives measurement and identical principles, then makes the two principles into measurement and identical theorems of quantum mechanics, plus the three theorems derived earlier, we deduce the axiom system of current quantum mechanics, the general quantum theory no axiom presumptions not only solves the crisis to understand in current quantum mechanics, but also obtains new discoveries, e.g., discovers the velocities of quantum collapse and entanglement are instantaneously infinitely large. We deduce the general Schrȍdinger equation of any n particles from two aspects, and the wave function not only has particle properties of the complex square root state vector of the classical probability density of any n particles, but also has the plane wave properties of any n particles. Thus, the current crisis of the dispute about the origin of wave- particle duality of any n microscopic particles is solved. We display the classical locality and quantum non-locality for any n particle system, show entanglement origins, and discover not only any n-particle wave function system has the original, superposition and across entanglements, but also the entanglements are of interactions preserving conservation or correlation, three kinds of entanglements directly give lots of entanglement sources. This paper discovers, one of two pillars of modern physics, quantum mechanics of any n particle system is a generalization ( mechanics ) theory of the complex square root ( of real density function ) of classical statistical mechanics, any n particle system’s quantum mechanics of being just a generalization theory of the complex square root of classical statistical mechanics is both a revolutionary discovery and key new physics, which are influencing people’s philosophical thinking for modern physics, solve all the crisises in current quantum theories, quantum information and so on, and make quantum theory have scientific solid foundations checked, no basic axiom presumption and no all quantum strange incomprehensible properties, because classical statistical mechanics and its complex square root have scientific solid foundations checked. Thus, all current studies on various entanglements and their uses to quantum computer, quantum information and so on must be further updated and classified by the new entanglements. This and our early papers derive quantum physics, solve all crisises of basses of quantum mechanics, e.g., wave-particle duality & the first quantization origins, quantum nonlocality, entanglement origins & classifications, wave collapse and so on.Key words: quantum mechanics, operator, basic presumptions, wave-particle duality, principle of measurement, identical principle, superposition principle of states, entanglement origin, quantum communication, wave collapse, classical statistical mechanics, classical mechanics

scholarly journals The Arithmetic of Uncertainty unifies Quantum Formalism and Relativistic Spacetime

2020 ◽  
Author(s):  
John Skilling ◽  
Kevin Knuth
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Three Dimensions ◽  
One Dimension ◽  
Lorentz Transformations ◽  
Mathematical Structures ◽  
Modern Physics ◽  
Relativistic Spacetime ◽  
The Universe ◽  
Dimensions Of Space

The theories of quantum mechanics and relativity dramatically altered our understanding of the universe ushering in the era of modern physics. Quantum theory deals with objects probabilistically at small scales, whereas relativity deals classically with motion in space and time. We show here that the mathematical structures of quantum theory and of relativity follow together from pure thought, defined and uniquely constrained by the same elementary ``combining and sequencing'' symmetries that underlie standard arithmetic and probability. The key is uncertainty, which inevitably accompanies observation of quantity and imposes the use of pairs of numbers. The symmetries then lead directly to the use of complex \sqrt{-1} arithmetic, the standard calculus of quantum mechanics, and the Lorentz transformations of relativistic spacetime. One dimension of time and three dimensions of space are thus derived as the profound and inevitable framework of physics.

5. Mysteries of the quantum

2021 ◽  
pp. 93-109
Author(s):  
David Wallace
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Physical Properties ◽  
The State ◽  
Successful Theory ◽  
Modern Physics ◽  
Faster Than Light ◽  
Non Locality

This chapter introduces the central mysteries of quantum mechanics. Quantum mechanics is an enormously successful theory that lies at the heart of modern physics, but there is no agreement on how to understand it. Simple experiments with light demonstrate why: in understanding those experiments, we have to shift inconsistently back and forth between thinking of the theory as assigning indefinite, delocalized, but known properties to a system, and assigning definite, localized, but unknown properties (this is called the ‘problem of measurement’). Furthermore, when we break a system into subsystems, the state of the system is not determined by the states of the subsystem (this is called ‘entanglement’), and simple arguments seem to tell us that the physical properties of entangled subsystems can influence one another non-locally—faster than light. These three mysteries—measurement, entanglement, non-locality—need to be addressed by any attempt to make sense of quantum theory.

Scientific Realism and the Quantum

2020 ◽  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Quantum Theory ◽  
Scientific Realism ◽  
Quantum Physics ◽  
Quantum Field ◽  
Third Way ◽  
The World ◽  
Modern Physics

Scientific realism has traditionally maintained that our best scientific theories can be regarded as more or less true and as representing the world as it is (more or less). However, one of our very best current theories—quantum mechanics—has famously resisted such a realist construal, threatening to undermine the realist stance altogether. The chapters in this volume carefully examine this tension and the reasons behind it, including the underdetermination generated by the multiplicity of formulations and interpretations of quantum physics, each presenting a different way the world could be. Authors in this volume offer a range of alternative ways forward: some suggest new articulations of realism, limiting our commitments in one way or another; others attempt to articulate a ‘third way’ between traditional forms of realism and antirealism, or are critical of such attempts. Still others argue that quantum theory itself should be reconceptualised, or at least alternative formulations should be considered in the hope of evading the problems faced by realism. And some examine the nature of these issues when moving beyond quantum mechanics to quantum field theory. Taken together they offer an exciting new set of perspectives on one of the most fundamental questions in the philosophy of modern physics: how can one be a realist about quantum theory, and what does this realism amount to?

Satyendra Nath Bose, 1 January 1894 - 4 February 1974

1975 ◽  
Vol 21 ◽  
pp. 116-154 ◽  
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Intellectual Development ◽  
Albert Einstein ◽  
Wave Mechanics ◽  
Ideal Gases ◽  
Old Quantum Theory ◽  
Modern Physics ◽  
Bose Einstein ◽  
Point Of Departure

S. N. Bose was one of India’s most eminent scientists. Bose’s achievements in scientific research were not as sustained or as numerous as those of his contemporaries like C. V. Raman, (1) Meghnad Saha (2) and K. S. Krishnan, (3) together with whom he became a pioneer of education and research in modern physics in India. But the circumstances of Bose’s intellectual development were unusual and he was destined to play an inspiring role in the scientific and cultural life of his country. Bose’s novel derivation of Planck’s radiation formula, the only significant contribution which he made to physics, came at a turning point between the old quantum theory of Planck, Einstein, Bohr and Sommerfeld and the new quantum mechanics of Heisenberg, Dirac and Schrodinger. Bose sent his paper early in June 1924 to Albert Einstein who recognized its merit, translated it into German, and had it published in the Zeitschrift für Physik [6]. During the summer of 1924 Einstein also received, from Paul Langevin in Paris, a copy of the doctoral thesis of Louis de Broglie (4) dealing with the wave aspects of matter. Bose’s work became the point of departure for Einstein’s investigation on the quantum theory of monatomic ideal gases and ‘gas degeneracy’, leading to his prediction of the condensation phenomenon. (5) Einstein recognized the importance of de Broglie’s ideas and also made use of them in his investigation. (5) In turn, these papers of de Broglie and Einstein stimulated Schrodinger (6) to develop his wave mechanics. The ‘Bose-Einstein statistics’ immediately fitted into the framework of quantum mechanics and enshrined Bose’s name in physics for ever. Bose lived the legend of this fateful encounter with Einstein throughout the rest of his life.

The Event Universe

2015 ◽  
Author(s):  
Leemon B. McHenry
Keyword(s):  
Electromagnetic Field ◽  
Quantum Mechanics ◽  
Common Sense ◽  
Physical Theory ◽  
Alfred North Whitehead ◽  
Bertrand Russell ◽  
Theory Of Relativity ◽  
The World ◽  
Modern Physics ◽  
Linguistic Methods

What kinds of things are events? Battles, explosions, accidents, crashes, rock concerts would be typical examples of events and these would be reinforced in the way we speak about the world. Events or actions function linguistically as verbs and adverbs. Philosophers following Aristotle have claimed that events are dependent on substances such as physical objects and persons. But with the advances of modern physics, some philosophers and physicists have argued that events are the basic entities of reality and what we perceive as physical bodies are just very long events spread out in space-time. In other words, everything turns out to be events. This view, no doubt, radically revises our ordinary common sense view of reality, but as our event theorists argue common sense is out of touch with advancing science. In The Event Universe: The Revisionary Metaphysics of Alfred North Whitehead, Leemon McHenry argues that Whitehead's metaphysics provides a more adequate basis for achieving a unification of physical theory than a traditional substance metaphysics. He investigates the influence of Maxwell's electromagnetic field, Einstein's theory of relativity and quantum mechanics on the development of the ontology of events and compares Whitehead’s theory to his contemporaries, C. D. Broad and Bertrand Russell, as well as another key proponent of this theory, W. V. Quine. In this manner, McHenry defends the naturalized and speculative approach to metaphysics as opposed to analytical and linguistic methods that arose in the 20th century.

Quantum Becoming?

2017 ◽  
Author(s):  
Craig Callender
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Quantum Time ◽  
Quantum Non Locality ◽  
Time Quantum ◽  
Temporal Becoming ◽  
Non Locality ◽  
Quantum Wavefunction

Two of quantum mechanics’ more famed and spooky features have been invoked in defending the idea that quantum time is congenial to manifest time. Quantum non-locality is said by some to make a preferred foliation of spacetime necessary, and the collapse of the quantum wavefunction is held to vindicate temporal becoming. Although many philosophers and physicists seek relief from relativity’s assault on time in quantum theory, assistance is not so easily found.

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