Answered: If a system's Lagrangian is L = () (**… | bartleby

Related questions

Question

100%

M.r
Mg(r- a), write the
system's Lagrang ian is L = (")(*² + r²o²) +
3.
If a
Hamiltonian of this sy stem, and find conservative and cyclic variables.
4. Calculate y(x) function which gives the stationary value of (y²+y')dx.

Expert Solution

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Let Ymdenote the eigenfunctions of a Hamiltonian for a spherically symmetric potential V(r). The wavefunction + √104 213 ] is an eigenfunction of 21-1 (b) H and L₂ (c) H and L² = Y. +√√54. 210 4 (a) H₂ L² and L₂ (d) L² and L₂
Consider the 2D harmonic oscillator Hamiltonian: 87 - 12/24 (13² + 8² ) + 2 ²³² (1² + 8² ) Ĥ mw² 2m Unless otherwise specified, we will work in the eigenstates that satisfy: Ĥ|nz, ny) = Enz,ny |nx, ny) x, with Eng,ny = ħw(nx + Ny + 1). (a.) Some energy levels are degenerate. For example, E 2ħw can be achieve with (nx, ny) = (1, 0); (0, 1). This energy level has a degeneracy D(2ħw) = 2. What is the degeneracy of energy level E (where N is a positive integer)? = Nhw (b.) Consider the state (0)) = √ (12,0) + 2 |1, 1) + (0,2)). (c.) Calculate (Ĥ), (px), (py), and (âŷ) for the state above. = What is (t)) at a later time t > 0?
In a Hamiltonian system, what are the conditions for fixed points?
(7) Suppose the Hamiltonian for a particle in three dimensions is given by H = +V(f). Here, the 2m operator î represents the radial direction relative to the origin of coordinates. In other words, the potential energy exhibits spherical symmetry. Show that the three operators, H, L.,Ľ commute.
Prove the following: if the Hamiltonian is independent of time, then ∆E doesn't change in time. Show work and be explicit to prove the statement.
Using Lagrangian formalism, solve the following problem: A solid cylinder is released from rest to roll without slipping down a ramp of slope ϕ. a) What is the best choice of generalized coordinates to be used?