By Vladimir V. Mitin, Dmitry I. Sementsov, Nizami Z. Vagidov
"The houses of latest nanoscale fabrics, their fabrication and functions, in addition to the operational rules of nanodevices and platforms, are completely decided by means of quantum-mechanical legislation and ideas. This textbook introduces engineers to quantum mechanics and the realm of nanostructures, permitting them to use the theories to various nanostructure difficulties. The textbook covers the basics of quantum mechanics, together with uncertainty kinfolk, the Schrödinger equation, perturbation concept, and tunneling. those are then utilized to a quantum dot, the smallest synthetic atom, and in comparison to hydrogen, the smallest atom in nature. Nanoscale gadgets with better dimensionality, corresponding to quantum wires and quantum wells, are brought, in addition to nanoscale fabrics and nanodevices. a variety of examples during the textual content support scholars to appreciate the material"--Provided via publisher.
"The houses of latest nanoscale fabrics, their fabrication and functions, in addition to the operational rules of nanodevices and structures, are exclusively decided through quantum-mechanical legislation and ideas. This textbook introduces engineers to quantum mechanics and the realm of nanostructures, allowing them to use the theories to various nanostructure difficulties. The ebook covers the basics of quantum mechanics, together with uncertainty kinfolk, the Schrodinger equation, perturbation concept, and tunneling. those are then utilized to a quantum dot, the smallest synthetic atom, and in comparison with the case of hydrogen, the smallest atom in nature. Nanoscale items with greater dimensionality, equivalent to quantum wires and quantum wells, are brought, in addition to nanoscale fabrics and nanodevices. a variety of examples through the textual content aid scholars to appreciate the material"--Provided via publisher. Read more...
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Additional info for Quantum mechanics for nanostructures
This radiation, which is called X-ray bremsstrahlung, has a continuous electromagnetic spectrum. 9 shows experimental dependences of distributions of the radiation intensity on the wavelength, obtained for a tungsten anode at several values of the accelerating potential drop U . The characteristic feature of these curves is the existence of a short-wavelength cut-off frequency. From the particle point of view this fact can be simply explained. Since the radiation occurs because of the energy lost by an electron during its deceleration, the energy of the photon cannot be greater than eU .
4. Show that the absorption of a photon in the case of its inelastic collision with a free electron is not possible because it is prohibited by the laws of conservation of energy and momentum. Reasoning. Let us suggest that before collision with a photon the electron was at rest. 72) where E 0 = m e c2 is the energy of the electron at rest and the energy of the moving electron is related to the momentum as E( p) = c m 2e c2 + p 2 . 73) On squaring the left-hand and right-hand sides of Eqs. 72) we obtain h- 2 ω2 + 2m e c2 h- ω = c2 p2 , -2 h ω2 = c2 p 2 .
A. M. Dirac, The Principles of Quantum Mechanics (Oxford, Oxford University Press, 1958). L. I. Shiff, Quantum Mechanics (New York, McGraw-Hill, 1968). D. K. Ferry, Quantum Mechanics (London, IOP Publishing, 1995). I. I. Gold’man and V. D. Krivchenkov, Problems in Quantum Mechanics (New York, Dover Publications, 1993). G. L. Squires, Problems in Quantum Mechanics (Cambridge, Cambridge University Press, 1995). 1 Thermal radiation Heated bodies emit electromagnetic radiation over a wide frequency range because a part of their internal energy transforms into radiation energy.