A Concise Introduction to Quantum Mechanics
Автор: Mark S Swanson
Год издания: 0000
Assuming a background in basic classical physics, multivariable calculus, and differential equations, A Concise Introduction to Quantum Mechanics provides a self-contained presentation of the mathematics and physics of quantum mechanics. The relevant aspects of classical mechanics and electrodynamics are reviewed, and the basic concepts of wave-particle duality are developed as a logical outgrowth of experiments involving blackbody radiation, the photoelectric effect, and electron diffraction. The Copenhagen interpretation of the wave function and its relation to the particle probability density is presented in conjunction with Fourier analysis and its generalization to function spaces. These concepts are combined to analyze the system consisting of a particle confined to a box, developing the probabilistic interpretation of observations and their associated expectation values. The Schrodinger equation is then derived by using these results and demanding both Galilean invariance of the probability density and Newtonian energy-momentum relations. The general properties of the Schrodinger equation and its solutions are analyzed, and the theory of observables is developed along with the associated Heisenberg uncertainty principle. Basic applications of wave mechanics are made to free wave packet spreading, barrier penetration, the simple harmonic oscillator, the Hydrogen atom, and an electric charge in a uniform magnetic field. In addition, Dirac notation, elements of Hilbert space theory, operator techniques, and matrix algebra are presented and used to analyze coherent states, the linear potential, two state oscillations, and electron diffraction. Applications are made to photon and electron spin and the addition of angular momentum, and direct product multiparticle states are used to formulate both the Pauli exclusion principle and quantum decoherence. The book concludes with an introduction to the rotation group and the general properties of angular momentum.
Introduction a la philosophie, contenant la metaphysique et la logique
Автор: Willelm Jacob Gravesande
Год издания:
Полный вариант заголовка: «Introduction a la philosophie, contenant la metaphysique et la logique / par G.J. 's Gravesande ; traduite du latin ; nouvelle edition revue, corrigee, et augmentee de l'art de raisonner par syllogismes».
A treatise on mechanics
Автор: Henry Kater
Год издания:
Полный вариант заголовка: «A treatise on mechanics / conducted by the Dionysius Lardner ; assisted by eminent literary and scientific men ; by Henry Kater and Dionysius Lardner».
Introduction a la vie devote de Saint Francois de Sales
Автор: Группа авторов
Год издания:
Полный вариант заголовка: «Introduction a la vie devote de Saint Francois de Sales, Eveque et Prince de Geneve, fondateur de l'Ordre de la Visitation de Sainte Marie / revue par le R.P.J. Brignon, de la Compagnie de Jesus, et augmentee d'un exercice spirituel durant la sainte Messe».
Introduction to the English reader
Автор: Lindley Murray
Год издания:
Полный вариант заголовка: «Introduction to the English reader : or a selection of pieces in prose and poetry : calculated to improve the younger classes of learners in reading : and to imbur their minds with the love of virtue : to which are added rules and observations for assisting children to read with propriety / by Lindley Murray».
Introduction a la philosophie
Автор: Jacques Benigne Bossuet
Год издания:
Полный вариант заголовка: «Introduction a la philosophie : de la connaissance de Dieu et de soi-meme / par Bossuet, eveque de Meaux».