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The Hamiltonian of a system in the basis In > is given by H = hw( >< 0,1 + il >< 421-142 >< 0,1 -21°3 >< $3D Here w is a co
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Answer #1

H = ho Closcailt i 10,32021 - i Hamiltonion can be written in a 3x3 matrix form. H= null i ol 1 - 0 0 lo o -2 consider matrix= -2 I 3 í olm | -i 2 0 | my lo o oral -0 30, ix2=0 -ix, + 2x2 - 0 = x, = 0, X₂ ZO 2z = 1 ( to normalize) - for d = 1 +55 2 LOs Eve /t+55 - کام 2 2 5 1 - or 1.17 / 3,- (+) Co, 0 normalized So En -2thw (145) how la w eigen basis Y= 10 42 = 1 1 2 { 2 1

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