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Quantum Mechanics

By Norbury, John W., Professor

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Book Id: WPLBN0000659730
Format Type: PDF eBook
File Size: 1.24 MB.
Reproduction Date: 2005

Title: Quantum Mechanics  
Author: Norbury, John W., Professor
Volume:
Language: English
Subject: Science., Physics, Physics--Research
Collections: Physics Literature
Historic
Publication Date:
Publisher:

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W. Norbur, P. J. (n.d.). Quantum Mechanics. Retrieved from http://www.netlibrary.net/


Description
Physics Literature

Excerpt
Excerpt: 1 Wave Function 7 // 1.1 Probability Theory 8 // 1.1.1 Mean, Average, Expectation Value. 8 // 1.1.2 Average of a Function 10 // 1.1.3 Mean, Median, Mode 10 // 1.1.4 Standard Deviation and Uncertainty 11 // 1.1.5 Probability Density. 14 // 1.2 Postulates of Quantum Mechanics. 14 // 1.3 Conservation of Probability (Continuity Equation) 19 // 1.3.1 Conservation of Charge. 19 // 1.3.2 Conservation of Probability. 22 // 1.4 Interpretation of the Wave Function 23 // 1.5 Expectation Value in Quantum Mechanics. 24 // 1.6 Operators. 24 // 1.7 Commutation Relations. 27 // 1.8 Problems. 32 ...

Table of Contents
Contents 1 WAVE FUNCTION 7 1.1 Probability Theory . . . . . . . . . . . . . . . . . . . . . . . . 8 1.1.1 Mean, Average, Expectation Value . . . . . . . . . . . 8 1.1.2 Average of a Function . . . . . . . . . . . . . . . . . . 10 1.1.3 Mean, Median, Mode . . . . . . . . . . . . . . . . . . 10 1.1.4 Standard Deviation and Uncertainty . . . . . . . . . . 11 1.1.5 Probability Density . . . . . . . . . . . . . . . . . . . 14 1.2 Postulates of Quantum Mechanics . . . . . . . . . . . . . . . 14 1.3 Conservation of Probability (Continuity Equation) . . . . . . 19 1.3.1 Conservation of Charge . . . . . . . . . . . . . . . . . 19 1.3.2 Conservation of Probability . . . . . . . . . . . . . . . 22 1.4 Interpretation of the Wave Function . . . . . . . . . . . . . . 23 1.5 Expectation Value in Quantum Mechanics . . . . . . . . . . . 24 1.6 Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 1.7 Commutation Relations . . . . . . . . . . . . . . . . . . . . . 27 1.8 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 1.9 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 2 DIFFERENTIAL EQUATIONS 35 2.1 Ordinary Di?erential Equations . . . . . . . . . . . . . . . . . 35 2.1.1 Second Order, Homogeneous, Linear, Ordinary Di?erential Equations with Constant CoeƱcients . . . . . . 36 2.1.2 Inhomogeneous Equation . . . . . . . . . . . . . . . . 39 2.2 Partial Di?erential Equations . . . . . . . . . . . . . . . . . . 42 2.3 Properties of Separable Solutions . . . . . . . . . . . . . . . . 44 2.3.1 General Solutions . . . . . . . . . . . . . . . . . . . . . 44 2.3.2 Stationary States . . . . . . . . . . . . . . . . . . . . . 44 2.3.3 De?nite Total Energy . . . . . . . . . . . . . . . . . . 45

 

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