Each chapter includes several homework problems with fully worked solutions. It addresses in a clear and intuitive way the problems students find most troublesome. Retaining the popular approach used in Fleisch’s other Student’s Guides, this friendly resource uses plain language to provide detailed explanations of the fundamental concepts and mathematical techniques underlying the Schr¨odinger equation in quantum mechanics. 1.4 Complex Numbers, Vectors, and Functionsġ.6 Finding Components Using the Inner ProductĢ.1 Operators, Eigenvectors, and Eigenfunctionsģ.3 Time-Independent Schrödinger Equationģ.4 Three-Dimensional Schrödinger EquationĤ.1 The Born Rule and Copenhagen InterpretationĤ.2 Quantum States, Wavefunctions, and OperatorsĤ.3 Characteristics of Quantum WavefunctionsĤ.4 Fourier Theory and Quantum Wave PacketsĤ.5 Position and Momentum Wavefunctions and OperatorsĪ Student’s Guide to the Schr¨odinger Equation Quantum mechanics is a hugely important topic in science and engineering, but many students struggle to understand the abstract mathematical techniques used to solve the Schr¨odinger equation and to analyze the resulting wave functions.
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