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thx for help In terms of the complex canonical variables a1 and a2, the Hamiltonian of coupled harmonic oscillators is given by H = wila1|2

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In terms of the complex canonical variables a1 and a2, the Hamiltonian of coupled harmonic oscillators is given by H = wila1|2 + w2la212 + y[(a;)?a? + (a;)2al], where w1, w2, y are some constants. Which of the following functions are constants of motion? Select one or more: O 1. ala2 O 2. wila1 / 2 + wala21? + y[(a;)?a? + (a2)2a71. 3. la1 12 - la212. DC 4. (at)2a? + (a2)2 a]] 0 5. Jail2 + 1a212

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