Top Research Papers on Quantum Mechanics

copper and iron to determine the effect of grain-size, cold work, and other physical factors, on the coefficient of internal friction and other features of the dissipation curve. 12. The emission of positive ions from tungsten at high temperatures. LLoyp P. Smiru, Cornel! University.—It has been found that a tungsten filament, after being flashed at a temperature above 3000°K and operated at 2500°K for ten hours in order to remove impurities such as alkali metals, emits positive ions. The ion current is steady and is related to the temperature of the filament by the relation—i, =AT%e~*7. It’s ...

We discuss the arguments for suspecting that there exists a classical, i.e. deterministic theory underlying quantum mechanics. A difficulty is that an explanation must be found of the fact that the Hamiltonian, which is defined to be the operator that generates evolution in time, is bounded from below. The mechanism that can produce exactly such a constraint is identified in this paper. It is the fact that not all classical data are registered in the quantum description. Large sets of values of these data are assumed to be indistinguishable, forming equivalence classes. It is argued that this ...

Das Buch ist in einer dritten, v ̈ ollig überarbeiteten Auflage erschienen. Es ist als Begleitung eines wenigstens einj ̈ ahrigen Kurses gedacht und wendet sich an Studenten, die Vordiplomskenntnisse in Mechanik, Elektrodynamik sowie Atomphysik besitzen. Die Quantenmechnik wird in ihrer ganzen Breite behandelt. Das Buch beginnt mit der Wellenmechanik, der ein sehr großer Platz einger ̈ aumt und auf die immer wieder zurückgegriffen wird. Freie Bewegung, harmonischer Oszillator, st ̈ uckweise konstante Potentiale werden ausf ̈ uhrlich behandelt. Ebenso detailreich werden N ̈ aherungsverfahren wi...

challenging because a quantum phenomenon is counterintuitive and the mathematics used to explain it is often abstract and dif cult to grasp. This textbook is an attempt to overcome these challenges. Every chapter presents quantum ideas in a stepbystep structured way along with comparisons between quantum and classical concepts that provide clear distinction between classical and quantum logic. Conceptual questions are given after every important section so that readers can check their understanding at every step. Tutorials are included on special topics to teach problem solving by actively eng...

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Quantum mechanics (QM) is the modern physical theory of very small (microscopic) systems, typically atomic-sized or smaller. Along with Einstein's theory of relativity, QM represented a major revolution in our understanding of physics, which was previously described by Newtonian (classical) mechanics. Problems with Classical Physics The enormous success of Newtonian mechanics led Lord Kelvin to state the following in 1894 [2]: " There is nothing new to be discovered in physics now. All that remains is more and more precise measurement. " How wrong he was! However, it seemed that way for many p...

Designed for a two-semester advanced undergraduate or graduate level course, this distinctive and modern textbook provides students with the physical intuition and mathematical skills to tackle even complex problems in quantum mechanics with ease and fluency. Beginning with a detailed introduction to quantum states and Dirac notation, the book then develops the overarching theoretical framework of quantum mechanics, before explaining physical quantum mechanical properties such as angular momentum and spin. Symmetries and groups in quantum mechanics, important components of current research, ar...

I consider in this book a formulation of Quantum Mechanics. Usually QM is formulated based on the notion of time and space, both of which are thought a priori given quantities or notions. However, when we try to define the notion of velocity or momentum, we encounter a difficulty as we will see in chapter 1. The problem is that if the notion of time is given a priori, the velocity is definitely determined when given a position, which contradicts the uncertainty principle of Heisenberg. We then set the basis of QM on the notion of position and momentum operators as in chapter 2. Time of a local...

The Ultra Violet Catastrophe In blackbody spectra, the spectral distribution of energy in the radiation depends only on the temperature of the body. Why does the blackbody spectrum have the shape it has? Lord rayleigh and James Jean considered the radiation inside a cavity of absolute temperature T whose walls are perfect reflectors to be a series of standing electromagnetic waves. This is a three dimensional generalization of standing waves in a stretched string. The condition for standing waves in such a cavity is that the path length from wall to wall, whatever the location, must be a while...

Written for a two-semester graduate course in Quantum Mechanics, this comprehensive text helps develop the tools and formalism of Quantum Mechanics and its applications to physical systems. It suits students who have taken some introductory Quantum Mechanics and Modern Physics courses at undergraduate level, but it is self-contained and does not assume any specific background knowledge beyond appropriate fluency in mathematics. The text takes a modern logical approach rather than a historical one and it covers standard material, such as the hydrogen atom and the harmonic oscillator, the WKB ap...

The important changes quantum mechanics has undergone in recent years are reflected in this new approach for students. A strong narrative and over 300 worked problems lead the student from experiment, through general principles of the theory, to modern applications. Stepping through results allows students to gain a thorough understanding. Starting with basic quantum mechanics, the book moves on to more advanced theory, followed by applications, perturbation methods and special fields, and ending with new developments in the field. Historical, mathematical, and philosophical boxes guide the st...

This is an advanced course in the theory of quantum mechanics, for junior or senior level students. It is intended primarily for physics majors, but should be of interest also to many other students, especially those in math, science and engineering. Prerequisite are PHY 305 Modern Physics I, MAT 293 Multivariable Calculus, and MAT 330 Introduction to Differential Equations. Students are therefore assumed to know some basic quantum physics, and to be able to use vector calculus and simple differential equations. They will learn the mathematical formalism of quantum mechanics, its application t...

Article 1. Quantum Mechanics/量子力学 Author: Liu Huan (1983- ), Master of Science (First Class Honours), The University of Auckland.

Quantum mechanics (QM – also known as quantum physics, or quantum theory) is a branch of physicswhich deals with physical phenomena at microscopic scales, where the action is on the order of the Planck constant. Quantum mechanics departs from classical mechanics primarily at the quantum realm of atomic andsubatomic length scales. Quantum mechanics provides a mathematical description of much of the dual particle-likeand wavelike behavior and interactions of energy andmatter.

This original and innovative textbook takes the unique perspective of introducing and solving problems in quantum mechanics using linear algebra methods, to equip readers with a deeper and more practical understanding of this fundamental pillar of contemporary physics. Extensive motivation for the properties of quantum mechanics, Hilbert space, and the Schrödinger equation is provided through analysis of the derivative, while standard topics like the harmonic oscillator, rotations, and the hydrogen atom are covered from within the context of operator methods. Advanced topics forming the basi...

From the Publisher: This book provides an introduction to the theoretical foundations of quantum mechanics for students of experimental physics. It is intended as an intermediate text for those who have already completed an introductory course in quantum physics.

This book explains the often counterintuitive physics of quantum mechanics, unlocking this key area of physics for students by enabling them to work through detailed applications of general concepts and ideas. The book states general principles first in terms of wave mechanics and then in the standard abstract linear space formalism. It offers a detailed discussion of measurement theory — an essential feature of quantum mechanics — and emphasizes the art of numerical estimates. Along the way, the book provides a wealth of physical examples together with numerous problems, some easy, some chall...

This popular undergraduate quantum mechanics textbook is now available in a more affordable printing from Cambridge University Press. Unlike many other books on quantum mechanics, this text begins by examining experimental quantum phenomena such as the Stern-Gerlach experiment and spin measurements, using them as the basis for developing the theoretical principles of quantum mechanics. Dirac notation is developed from the outset, offering an intuitive and powerful mathematical toolset for calculation, and familiarizing students with this important notational system. This non-traditional approa...

This book provides a comprehensive account of basic concepts of quantum mechanics in a coherent manner. The book is self-contained and not only covers basic concepts in quantum mechanics but also provides a basis for applications in atomic and laser physics, nuclear and particle physics, and condensed matter physics. It also covers relativistic quantum mechanics, in particular the Dirac equation and its applications.