Quantum wells, wires and dots; theoretical and computational physics of semiconductor nanostructures 2nd edition
➤ Gửi thông báo lỗi ⚠️ Báo cáo tài liệu vi phạmNội dung chi tiết: Quantum wells, wires and dots; theoretical and computational physics of semiconductor nanostructures 2nd edition
Quantum wells, wires and dots; theoretical and computational physics of semiconductor nanostructures 2nd edition
CHAPTER 1SEMICONDUCTORS ANDHETEROSTRUCTURES1.1THE MECHANICS OF WAVESDe Broglie (see reference [4]) stated that a particle of momentum p has an associa Quantum wells, wires and dots; theoretical and computational physics of semiconductor nanostructures 2nd edition ated wave of wavelength A given by the followinghp(1-1)Thus, an electron in a vacuum at a position r and away from the influence of any elecưomagnetic potentials, could be described by a state function which is of the form of a wave, i.e.ự, _ e»(k.r-u>t)(1.2)where t is the time, CƯ the angular frequ Quantum wells, wires and dots; theoretical and computational physics of semiconductor nanostructures 2nd edition ency and the modulus of the wave vector is given by:fc = |k| = Y(1.3)2 SEMICONDUCTORS AND HETEROSTRUCTURESThe quantum mechanical momentum has been dedQuantum wells, wires and dots; theoretical and computational physics of semiconductor nanostructures 2nd edition
uced to be a linear operator [ 12] acting upon the wave function with the momentum p arising as an eigenvalue, i.e.-ihViỊĩ = jyi>(1.4)where+(L5)ox ơy CHAPTER 1SEMICONDUCTORS ANDHETEROSTRUCTURES1.1THE MECHANICS OF WAVESDe Broglie (see reference [4]) stated that a particle of momentum p has an associa Quantum wells, wires and dots; theoretical and computational physics of semiconductor nanostructures 2nd edition +k‘‘-ujt> = peiV‘’r-uf> (1.7)-ih (ifcj + ifcyj 4 ifczk) ei(*.x+t,»+*.z-wí) = pgi(k.r—Oíỉ)(1 8)Thus the eigenvalue:p = h (kxỉ + kyị + kzi^ = hk(1.9)which not surprisingly can be simply manipulated (p = hk = (/i/2%)(2?r/A)) to reproduce de Broglie’s relationship in equation (1.1).Following on from thi Quantum wells, wires and dots; theoretical and computational physics of semiconductor nanostructures 2nd edition s, classical mechanics gives the kinetic energy of a particle of mass m as(1.10)2281572777Therefore it may be expected that the quantum mechanical anaQuantum wells, wires and dots; theoretical and computational physics of semiconductor nanostructures 2nd edition
logy can also be represented by an eigenvalue equation with an operator:-L(-jfiV)2ifr = T^(1.11)2m-ĩ~y'2^Tỳ<112)2mwhere T is the kinetic energy eigenvCHAPTER 1SEMICONDUCTORS ANDHETEROSTRUCTURES1.1THE MECHANICS OF WAVESDe Broglie (see reference [4]) stated that a particle of momentum p has an associaCHAPTER 1SEMICONDUCTORS ANDHETEROSTRUCTURES1.1THE MECHANICS OF WAVESDe Broglie (see reference [4]) stated that a particle of momentum p has an associaGọi ngay
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