![]() ![]() As a result the rules of classical mechanics, enunciated by Isaac Newton and others, were replaced by the rules of quantum mechanics, in which the Schrödinger equation plays a pivotal role. ![]() 1 Opening items 1.1 Module introduction 1.2 Fast track questions 1.3 Ready to study? 2 The wavefunction of a free particle 2.1 A free particle represented by a complex travelling wave packet 2.2 A free particle represented by a complex wave 3 From Newton to Schrödinger 3.1 The time dependence of the wavefunction and stationary states 3.2 Introducing operators – an operator for momentum 3.3 An operator for kinetic energy 3.4 The free particle time–independent Schrödinger equation 3.5 Solving the free particle Schrödinger equation 4 A particle confined in one dimension 4.1 The Schrödinger equation in the one–dimensional box 4.2 Normalization of the wavefunctions 5 Including potential energy in the Schrödinger equation 5.1 The one–dimensional Schrödinger equation, including potential energy 5.2 Solutions in a region where E > U ( x) 5.3 Solutions in a region where U ( x) > E 6 The time–dependent Schrödinger equation 6.1 Partial derivatives 6.2 The time–dependent Schrödinger equation 7 Closing items 7.1 Module summary 7.2 Achievements 7.3 Exit testĭuring the first third of this century a revolution occurred in our perception of the physical laws controlling the behaviour of matter at the atomic level. ![]()
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