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ThephononHamiltoniantakesthequadraticformH=Xk; !k; b+k; bk; (4.2.1)(we ThephononHamiltoniantakesthequadraticformH=Xk; !k; b+k; bk; (4.2.1)(we

ThephononHamiltoniantakesthequadraticformH=Xk; !k; b+k; bk; (4.2.1)(we - PDF document

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ThephononHamiltoniantakesthequadraticformH=Xk; !k; b+k; bk; (4.2.1)(we - PPT Presentation

3D432whereNisthetotalnumberofatomsinthecrystalThespeci cheatofonebosonicmodewithenergycanbefoundascVE T T1 eT12 T2eT eT124332 Figure16aAnsatzforphintheDebyet ID: 138637

!3D;(4.3.2)whereNisthetotalnumberofatomsinthecrystal.Thespeci cheatofonebosonicmodewithenergy!canbefoundascV(!)=@E @T=!@ @T1 e!=T1=!2 T2e!=T (e!=T1)2:(4.3.3)2 Figure16:(a):Ansatzforph(!)intheDebyet

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