By David Ferry
This textbook presents a whole path in quantum mechanics for college kids of semiconductor machine physics and electric engineering. It offers the mandatory history to quantum thought for these beginning paintings on micro- and nanoelectronic buildings and is especially necessary for these happening to paintings with semiconductors and lasers.
This ebook used to be constructed from a direction the writer has taught for a few years with a method and order of presentation of fabric in particular designed for this viewers. It introduces the most ideas of quantum mechanics that are very important in daily solid-state physics and electronics. each one subject comprises examples which were rigorously selected to attract upon correct experimental learn. additionally it is issues of recommendations to check realizing of conception. For the second one version major new fabric has been additional to every bankruptcy, delivering up-to-date connections with proper experiments and gadget recommendations. New references and new difficulties are incorporated
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Extra resources for Quantum mechanics : an introduction for device physicists and electrical engineers
65) is indicated by the circled crossings. Here, we have used the values of ÒÑ, Î¼ ¼ ¿ Î, and Ñ ¼ ¼ Ñ¼ , appropriate to a GaAs quantum well between two layers of GaAlAs. The two circled crossings indicate that there are two even-symmetry solutions. Similarly, the logarithmic derivative of the damped function is merely × Ò´Üµ, where × Ò´Üµ is the sign of Ü and arises because of the magnitude in the argument of the exponent. We note that we can match the boundary condition at either or , and the result is the same, a fact that gives rise to the even function that we are using.
33) Here, we have defined a wave function in two separate regions, in which the potential is constant in each region. These two wave functions must be smoothly joined where the two regions meet. g. let without loss of generality). Two boundary conditions are required to evaluate the other two coefficients in terms of . The boundary conditions can vary with the problem, but one must describe the continuity of the probability across the interface between the two regions. 23) over a small increment from Ü to Ü · , which shows that the derivative of the wave function is continuous as long as this range of integration does not include an infinitely large potential or energy).
Lett. 54 2696–99 Yacoby A, Heiblum M, Umansky V, Shtrikman H and Mahalu D 1994 Phys. Rev. Lett. 73 3149–52 Problems 23 Problems 1. Calculate the energy density for the plane electromagnetic wave described by the complex field strength ¼ ´ Ø Üµ and show that its average over a temporal period Ì is ´ ¾µ ¾ . 2. What are the de Broglie frequencies and wavelengths of an electron and a proton accelerated to 100 eV? What are the corresponding group and phase velocities? 3. Show that the position operator Ü is represented by the differential operator Ô in momentum space, when dealing with momentum wave functions.
Quantum mechanics : an introduction for device physicists and electrical engineers by David Ferry