The problems solving of a quantum mechanics is obtained by a classic way or with the help of a corpuscular quantum mechanics In this chapter we shall analyze fundamentals of a modern quantum mechanics. It as a matter of fact not corpuscular and wave. Will be shown, that though it and operates with mass and energy of a particle, as a matter of fact properties of particles in it are skipped in a favour to wave properties. In this case it is easy to receive quantum system conditions, stands only legally or clandestinely to present a particle as a standing wave. Thus find explanation some experimental facts which are not explained by classic mechanics. Simultaneously there are outcomes, not having physical sense. For example, any bound particle in a wave quantum mechanics appears disjointed on separate slices and spread on space, since a particle is not present there, where the wave function is peer to zero point (in nodes of a standing wave) and is spread in space, where the wave function is different from zero point (in antinodes of a standing wave). Particle, bound with a standing wave, too is immobile, though can be in a force field and should move. But then the standing wave is
The problems solving of a quantum mechanics is obtained by a classic way or with the help of a corpuscular quantum mechanics In this chapter we shall analyze fundamentals of a modern quantum mechanics. It as a matter of fact not corpuscular and wave. Will be shown, that though it and operates with mass and energy of a particle, as a matter of fact properties of particles in it are skipped in a favour to wave properties. In this case it is easy to receive quantum system conditions, stands only legally or clandestinely to present a particle as a standing wave. Thus find explanation some experimental facts which are not explained by classic mechanics. Simultaneously there are outcomes, not having physical sense. For example, any bound particle in a wave quantum mechanics appears disjointed on separate slices and spread on space, since a particle is not present there, where the wave function is peer to zero point (in nodes of a standing wave) and is spread in space, where the wave function is different from zero point (in antinodes of a standing wave). Particle, bound with a standing wave, too is immobile, though can be in a force field and should move. But then the standing wave is
The behavior of classical macroscopic particles – from baseballs to planets – is governed by Newtonian mechanics as we have described in the first chapters of this book. The behavior of very small particles, on the other hand, is governed by an entirely different collection of equations and rules that go under the name of “quantum mechanics” and these particles are referred to as quantum particles. These rules have analogies to classical mechanics, but are fundamentally different and somewhat mysterious as we discussed in Chapter 8. The fundamental principles of quantum mechanics cannot be proven to be correct. They were developed based on the results of experimental observation, by analogy with classical mechanics, and through the consideration of logical implications of the formalisms used. There is no way to derive the fundamental elements of quantum mechanics, any more than one could predict from first principles that Newtonian forces should add as vectors. On the other hand, quantum mechanics is among the most rigorously tested theories in science, and the predictions of quantum mechanics have, so far, always been in agreement with experiment. In this chapter, we will present quantum mechanics as a series of postulates and examine their implications in application to simple one-dimensional systems. In the next chapter we will examine quantum effects in real systems including atoms, molecules, crystals, and artificially engineered nano-structures. Postulates of quantum mechanics QM Postulate 1: A quantum particle is described by a wave function Ψ( x , y , z , t ) which is a function of spatial coordinates and time. All physically determinable quantities can be derived from the wave function Ψ( x , y , z , t ) ; quantities which cannot be found from the wave function are not physically meaningful. Note that some things that one could ask about a quantum particle, for example the exact position and simultaneous exact momentum of a particle, are not derivable from the wave function and are therefore considered indeterminate (or uncertain ). These are things which cannot ever be known about a particle, and, as such, they are meaningless to contemplate.
The wave function Before beginning to describe the quantum theory of measurement, we shall discuss briefly the main concepts of quantum mechanics. Readers familiar with quantum mechanics may skip this section and go on to section 2.2. Consider, as a pedagogical aid, a classical particle that can move only along the x direction. For example, it might be a bead on an infinite needle. If we know at any moment of time the values of two numbers, the particle's position and momentum, then we can compute from them all other features of the particle's motion: the forces acting on it, its resulting acceleration, etc. In other words, this pair of numbers, the position and momentum, completely define the state of the classical particle at the chosen moment of time. Similarly, for three-dimensional motion the state is defined by six numbers: the three spatial coordinates x, y, z and the three corresponding components of the momentum p x , p y , p z . A quantum object, with its dual particle-like and wave-like properties, is much more complex than a classical particle. Interferometric experiments (chapter I) show that the object can be spread out over some region of space, or for the bead on a needle, over an interval of x .
This authoritative, advanced introduction provides a complete, modern perspective on quantum mechanics. It clarifies many common misconceptions regarding wave/particle duality and the correct interpretation of measurements. The author develops the text from the ground up, starting from the fundamentals and presenting information at an elementary level, avoiding unnecessarily detailed and complex derivations in favor of simple, clear explanations. He begins in the simplest context of a two-state system and shows why quantum mechanics is inevitable, and what its relationship is to classical mechanics. He also outlines the decoherence approach to interpreting quantum mechanics. Distinguishing features: Provides a thorough grounding in the principles and practice of quantum mechanics, including a core understanding of the behavior of atoms, molecules, solids, and light. Utilizes easy-to-follow examples and analogies to illustrate important concepts. Helps develop an intuitive sense for the field, by guiding the reader to understand how the correct formulas reduce to the non-relativistic ones. Includes numerous worked examples and problems for each chapter.
The contents of the article is mirrored in its title. In science the fact is well-known, that often opposite notions about that or diverse phenomenon result in identical end results, that produces bitter controversies of the opponents. The example can be served by century dispute between the supporters of the wave and corpuscular nature of light, dispute between a system of Ptolemy and Copernicus and many other conflictings in the most miscellaneous areas of science. The wave description of physical phenomena cannot be executed without of elastic medium (ether) in which one there is a wave process and is diffused by means of this elastic medium. Therefore description of wave phenomena in a solid, liquid and gas adequately mirrors the test datas and problems here does not arise. There, where the elastic medium misses, it is necessary to invent miscellaneous ruses to distribute the wave description and to these objects: empty world space (world ether in the miscellaneous fancy forms), internal space of atoms (wave functions of probability), fields (short-range interaction of fields by means of transfer of a disturbance from one point to other), electromagnetic radiation of the Maxwell (simultaneous oscillation magnetic and electrical field in an elastic medium). The wave description of world is fine is designed, since above it many generations of the known scientists worked, but main brake here it is necessary to have in stock an elastic medium. There, where it no or there are doubts in its existence, a field for critics there is opened. In the formal-mathematical description of the world the elastic medium is not necessary any more. Record a wave equation and decide it for the diversified cases. Though in mathematical relation such description of the world perfectly, but the physical sense of mathematical manipulations is lost. Specially it notably in a quantum mechanics. As a consequence, the similar description it is easy to subject a severe critic. To be salvaged from of intrusive critics, it is necessary to invent completely fancy notions about a microcosmos, which one do not have conformity in a macroworld. Thus, the unity of the world is upset, that directly contradicts fundamental laws of universe. The absence of physical sense is the main unremovable brake of the formal-mathematical description of the world. The corpuscular description of the world, basically, is a merit of Newton. Because of small number of the supporters of such description «have defeated» wave notions. The main brake for of corpuscular world was established by Newton, by formulating the law even and rectilinear motion of free bodies. This law has become force majeure for explanation of an interference, polarization and some other properties of light. Attempts to mate the wave description with corpuscular (wave-corpuscle dualism of microparticles [1]) are originally doomed on a fall because of a principled difference between a wave and particle. The ether is not necessary for the corpuscular description of the world in any to the form, therefore photon, for example, billions of years not «being spread» can move in space, that is impossible from the point of view of the wave description of its motion. The main lack of the corpuscular description of the world consists in incompletness of official toolkit for such description. Only new corpuscular quantum physics has entered notion about originating of a gravidynamic field at motion of gravitational charges and bound with this fact by screw motion of free bodies. It has allowed to revise many fundamental rules of classic physics and quantum mechanicses and to realise a capability of the corpuscular description of the world to the full. Unfortunately, it has taken place after in heads of the scientists strongly was fixed paradigm, designed Einstein and fathers of a quantum mechanics. This paradigm had time knock home in heads of millions students and even of the homemakers. In outcome new scientific paradigm on the basis of new physics meets aggressive hostility. It, certainly, temporary phenomenon and the victory new paradigm in science is foregone, as was already repeatedly. It is a pity, that this the temporary interval, usually, exceeds temporary existence of the person in the land of the living, and orthodoxes permanently self-reproduction by conservative science.
The nature of the problem The quantum world is inexplicable in classical terms. The predictions pertaining to the interaction of matter and light embodied in Newton's laws for the motion of particles and Maxwell's equations governing the propagation of electromagnetic fields are in flat contradiction with the experimental facts at the microscopic scale. A key feature of quantum effects is their apparent indeterminism, that individual atomic events are unpredictable, uncontrollable and literally seem to have no cause. Regularities emerge only when one considers a large ensemble of such events. This indeed is generally considered to constitute the heart of the conceptual problem posed by quantum phenomena, necessitating a fundamental revision of the deterministic classical world view. Some of the principal phenomena, among those discussed in this book, are as follows: ( a ) Self-interference: a beam of electrons sent one at a time through a barrier containing two apertures builds up through a series of localized detection events on a screen an interference pattern characteristic of waves (cf. the frontispiece and §5.1). ( b ) Tunnelling: an α-particle trapped in a nucleus can pass through a potential barrier in a manner forbidden to a classical particle (§5.3). ( c ) The stability of matter: atoms and molecules are found to exist only in certain discrete, or ‘stationary’, energy states. For this reason they do not ‘collapse’, the result predicted by classical electrodynamics. During transitions between stationary states (quantum jumps) an atom exchanges a discrete quantity of energy with the electromagnetic field (§§4.5, 7.6). […]
Quantum mechanics (or simply quantum physics) is the branch of physics that applies to particles and systems of particles, such as atoms and molecules. In that realm the laws of classical mechanics and classical electromagnetism break down, and only quantum mechanics provides the concepts and computational methods that explain observed phenomena. Quantum mechanics uses specially developed tools, such as wave functions, that contain all of the relevant information about particles and systems. is approach is needed to understand the true nature of electromagnetic radiation and how that radiation interacts with matter. e mathematics used in quantum mechanics is highly specialized and often complex. In this chapter we’ll address some of the key questions that require quantum mechanics without presenting the full mathematical formalism. e important questions we’ll address all deal with observable physical phenomena. We’ll discuss how quantum mechanics is used to answer these questions but will omit the advanced mathematical details.