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The time-evolution of a physical system with one coordinate q is described by the La- grangian 1 L + aġ sin q sin t +b cos q, where a and b are constants. (a) Show that the corresponding Hamiltonian is 1 (p – a sin q sin t)² – b cos q. 2 H = - -

The time-evolution of a physical system with one coordinate q is described by the La- grangian 1 L + aġ sin q sin t +b cos q, where a and b are constants. (a) Show that the corresponding Hamiltonian is 1 (p – a sin q sin t)² – b cos q. 2 H = - -

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The time-evolution of a physical system with one coordinate q is described by the La- grangian 1 + aġ sin q sint+b cos q, L = where a and b are constants. (a) Show that the corresponding Hamiltonian is 1 Н (p – a sin q sin t)² – b cos q.
Transcribed Image Text:The time-evolution of a physical system with one coordinate q is described by the La- grangian 1 + aġ sin q sint+b cos q, L = where a and b are constants. (a) Show that the corresponding Hamiltonian is 1 Н (p – a sin q sin t)² – b cos q.
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