Quantum Mechanics: Concepts and Applications

Book Id: WPLBN0000659896
Format Type: PDF eBook:
File Size: 1.29 MB
Reproduction Date: 2005

Title:	Quantum Mechanics: Concepts and Applications
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Language:	English
Subject:	Science., Physics, Physics--Research
Collections:	Physics Literature Collection
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Citation APA MLA Chicago Quantum Mechanics: Concepts and Applications. (n.d.). Quantum Mechanics: Concepts and Applications. Retrieved from http://gutenberg.cc/

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Physics Literature

Table of Contents
Contents 1 Mathematical Preliminaries 1 1.1 The state vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 The inner product . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Linear operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.4 Eigenstates and eigenvalues . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.5 The Dirac delta function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2 The Laws (Postulates) of Quantum Mechanics 16 2.1 A lesson fromclassical mechanics . . . . . . . . . . . . . . . . . . . . . . . . 16 2.2 The postulates of quantummechanics . . . . . . . . . . . . . . . . . . . . . 17 2.3 Some history of the postulates . . . . . . . . . . . . . . . . . . . . . . . . . 19 3 Popular Representations 20 3.1 The position representation . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.2 Themomentumrepresentation . . . . . . . . . . . . . . . . . . . . . . . . . 23 4 Some Simple Examples 25 4.1 The Hamiltonian, conserved quantities and expectation value . . . . . . . . 25 4.2 Free particle in one dimension . . . . . . . . . . . . . . . . . . . . . . . . . . 30 4.2.1 Momentum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31