Lagrange Equation I-Advanced Quantum Physics-Sloved Assignment Problems, Exercises of Quantum Physics

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LAGRANGE'S EEUATION: gab) - as L' cav BE Written AS sie PEGE) 2 Le DE dg, 4 OF “ 34, Ye SVQSTITUTE THE LAST TERM UTS LAGRANGE'S EQUATION TS OBTAIN * So a & (coe. . a 3S fea SE dae a OF a5 Aq. 1 * Ye | \ qe * < ) 7 > &GE 7 7 * 5 4, (38 4 £)] - me i | | S50 WE GEE “THAT THe EIRST Two TERMS OF THE LAST EXPRESSION) REPRESENT THE ORIGINAL LAGRANGIAN L, WHILE THE LAST Two TERMS REDUCE To | a da lk . os t 4. + 3. ar ! - 2 ‘ ak 4.7 2 ‘ JF og u a a4. oe dat | Of Mm, OF) 2 4(2F\-2 z) < xe \ - £8 ye * | a(R) - a WHERE | INTERCHANGING THE OR Dee CF DIFFERENTIATION IN THE AST TERM we SEE THAT THE CONDITION 15 MET. et aF \_d oF _ se ( 3) SA 4] =o LE ALsO SATISFIES LAGRANGES EQUATION - docsity.com