Question 4A particle of mass m moves in a central force field with potential V(r). The La-grangian in terms of spherical polar coordinates (r,0,¢) is1L = ;m (² +r²e² + ² sin² 0¢? ) – V(r).1. Find the momenta (pr, pe, pp) conjugate to (r,0,4).2. Find the Hamiltonian H(r,0,4,,pr, Po, Pp).3. Write down the explicit Hamiltonian's equations of motion.?Answer.

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A particle of mass m moves in a central force field with potential V(r). The La- grangian in terms of spherical polar coordinates (r, 0, 4) is m (2 +rô² +r² sin² 04? ) – V(r). 1. Find the momenta (p, Po, Po) conjugate to (r,0,p). 2. Find the Hamiltonian H(r,0,4,,Pr, Pe, Pg). 3. Write down the explicit Hamiltonian's equations of motion. ?

A particle of mass m moves in a central force field with potential V(r). The La- grangian in terms of spherical polar coordinates (r, 0, 4) is m (2 +rô² +r² sin² 04? ) – V(r). 1. Find the momenta (p, Po, Po) conjugate to (r,0,p). 2. Find the Hamiltonian H(r,0,4,,Pr, Pe, Pg). 3. Write down the explicit Hamiltonian's equations of motion. ?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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