Download PDF by A. F. J. Levi: Applied Quantum Mechanics, Second Edition

By A. F. J. Levi

ISBN-10: 0521860962

ISBN-13: 9780521860963

Electric and mechanical engineers, fabrics scientists and utilized physicists will locate Levi's uniquely sensible 2006 clarification of quantum mechanics precious. This up to date and increased variation of the bestselling unique textual content now covers quantization of angular momentum and quantum verbal exchange, and difficulties and extra references are incorporated. utilizing real-world engineering examples to interact the reader, the writer makes quantum mechanics available and suitable to the engineering scholar. a variety of illustrations, workouts, labored examples and difficulties are incorporated; Matlab resource codes to aid the textual content can be found from www.cambridge.org//9780521860963.

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Additional info for Applied Quantum Mechanics, Second Edition

Example text

The permittivity of free space is 0 = 8 854 187 8 × 10−12 F m−1 , and the permeability of free space, measured in henrys per meter, is 0 = 4 × 10−7 H m−1 . √ The speed of light in free space is c = 1/ 0 0 = 2 997 924 58 × 108 m s−1 , and the impedance in free space is Z0 = 0 / 0 or approximately 376 73 . The use of vector calculus to describe Maxwell’s equations enables a very compact and efficient description and derivation of relationships between fields. Because of this, it is worth reminding ourselves of some results from vector calculus.

73) 23 INTRODUCTION is the charging energy for a single electron placed onto a metal sphere of radius r1 embedded in a dielectric with relative permittivity r . For a metal sphere with r1 = 10 nm (20 nm diameter ∼ 70 atoms diameter or ∼ 1 8 × 105 atoms total) in a dielectric with −17 F and a charging energy E = 7 2 meV. r = 10 one obtains a capacitance C = 1 1 × 10 Because electron charge has a single value, one may only add an electron to the metal sphere if the electron has enough energy to overcome the coulomb charging energy E.

The answer is that a static electric field can only be formed by movement of charge, and hence by a current. When a transient current flows, a magnetic field is produced. One cannot form a static electric field without a transient current and an associated magnetic field. 2 Power and momentum in an electromagnetic wave Let us extend what we know so far to obtain the power flux in an electromagnetic wave. This is of practical importance for wireless communication where, for example, we might be designing a receiver for a cellular telephone.

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Applied Quantum Mechanics, Second Edition by A. F. J. Levi


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