ECEN 5264 Lecture 06

ECEN 5264 Lecture 06 - ECEN 5264 Electromagnetic Absorption Absorption Scattering and Propagation(P(Propagation Effects on Satellite Communications

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ECEN 5264 lectromagnetic Absorption Electromagnetic Absorption, Scattering, and Propagation (Propagation Effects on Satellite Communications) Professor Albin J. Gasiewski Lecture #6 – January 27, 2011 COT 246 ECOT 246 303-492-9688 (O) [email protected] 1 Classes: ECCS 1B14 TR 9:30-10:45 AM University of Colorado at Boulder Spring 2011 ECEN 5264 EM Absorption, Scattering, & Propagation
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Administration • Reading: – EASP slides – EASP text (available on CULearn) – Additional QM references on reserve: • R.L. White, Basic Quantum Mechanics, McGraw-Hill (1966) • R.L. Liboff, Introductory Quantum Mechanics th edition), Addison- esley (2002) (4th edition), Addison Wesley (2002) • J.J. Sakurai, Modern Quantum Mechanics, Benjamin-Cummings (1985). 2 University of Colorado at Boulder Spring 2011 ECEN 5264 EM Absorption, Scattering, & Propagation
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Last Lecture uantum mechanical polarization Quantum mechanical polarization • Schrödinger’s equation article in potential well • Particle in potential well • Perturbation theory for induced polarization • State lifetimes 3 University of Colorado at Boulder Spring 2011 ECEN 5264 EM Absorption, Scattering, & Propagation
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Today’s Lecture • State amplitudes and induced polarization • Complex permittivity and line shapes ramers- ronig relations Kramers Kronig relations 4 University of Colorado at Boulder Spring 2011 ECEN 5264 EM Absorption, Scattering, & Propagation
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Summary of Previous Lectures 5
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Quantum Mechanical Wave Function Position of i th particle Spin of i th particle Contains all information about the state of a quantum system, for example, a system of qy , p , y charged particles such as make up an atom or molecule. 6
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Time Dependent Schroedinger Equation Defines time-evolution of wave function Ψ through the Hamiltonian, or energy operator, H : 7 = Kinetic Energy + Potential Energy
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Separation of Variables Solution E is the energy for a particular quantum state, but mathematically 8 it is a separation constant
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Energy Eigenstate Solutions V ( x ) ψ , E V →∞ V →∞ 1 1 ψ 2 , E 2 ψ 3 , E 3 x - L /2 0 L /2 9
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Dipole Moment Matrix Element 10
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Charged System in Weak Oscillating Field i d t ll i d Consider atom or molecule immersed in weak oscillating fields: purely real with: e.g., H 2 16 O charged system contains 21 charged bodies (2+16=18 electrons, 11 3 nuclei)
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Two State System Under Field Perturbation
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ECEN 5264 Lecture 06 - ECEN 5264 Electromagnetic Absorption Absorption Scattering and Propagation(P(Propagation Effects on Satellite Communications

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