By John Morrison
The moment variation of Modern Physics for Scientists and Engineers is meant for a primary path in sleek physics. starting with a quick and concentrated account of the ancient occasions resulting in the formula of recent quantum concept, later chapters delve into the underlying physics. Streamlined content material, chapters on semiconductors, Dirac equation and quantum box concept, in addition to a powerful pedagogy and ancillary package deal, together with an accompanying site with machine applets, support scholars in studying the basic fabric. The applets offer a pragmatic description of the strength degrees and wave features of electrons in atoms and crystals. The Hartree-Fock and ABINIT applets are helpful instruments for learning the houses of atoms and semiconductors.
- Develops sleek quantum mechanical principles systematically and makes use of those rules constantly during the book
- Carefully considers primary topics akin to transition possibilities, crystal constitution, reciprocal lattices, and Bloch theorem that are primary to any remedy of lasers and semiconductor devices
- Clarifies each one vital proposal by utilizing an easy instance and sometimes an illustration
- Features elevated routines and difficulties on the finish of every bankruptcy
- Offers a number of appendices to supply quick-reference for college kids
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Additional info for Modern Physics, Second Edition: for Scientists and Engineers
17. How are the momentum and the wavelength of a particle related? 18. How would the de Broglie wavelength of an electron change if its velocity were to double? 19. Suppose that an electron and a proton have the same velocity. How would the de Broglie wavelengths of the electron and proton be related? 20. What kind of pattern is produced when a beam of electrons is incident upon two slits? PROBLEMS 1. Calculate the energy of the photons for light having a wavelength λ = 200 nm. 2. Suppose that a 100 W beam of light is incident upon a metal surface.
16. 17. 18. 19. L δn,m , 2 0 where k = 2π/L and δn,m is the Kronecker delta function defined to be equal to one if n and m are equal and zero if n and m are not equal. Using this identity, multiply Eq. 19) from the left with sin mkx and integrate from 0 to L. to obtain L L sin mkxf (x)dx = Sm . 2 0 This last equation is equivalent to Eq. 20). Calculate the frequency of light having a wavelength λ = 500 nm. Find the length of the smallest standing wave that can be formed with light having a frequency of 600 THz.
6) with respect to x and then multiplying the resulting equation through by −i . We get −i 2 2d ψ dx2 dψ . dx This equation can be simplified using Eq. 6) to evaluate the term on the right giving − − = −ip ψ = p2 ψ. dx2 2d 2 We then divide the equation through by 2m and use the relation, E = p2 /2m, to replace the coefficient of the wave function on the right by the energy − 2 d2 ψ = Eψ. 7) Since the de Broglie function ψ(x) = Aeikx is a solution of Eq. 7) with E = 2 k2 /2m, this equation may be thought of as the equation associated with a free particle with energy E.
Modern Physics, Second Edition: for Scientists and Engineers by John Morrison