Show the matrix representation of the operators a. position (x) b. momentum (p) for the one-dimensional harmonic oscillator problem. (Hint: Connect with operators A and At)
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- Need full detailed answer.My system is a pendulum attached to moving horizontal mass m_1 and the pendulum m_2 that is shifted by X_o from origin. I have the lagrangian of my system what would be my equations of motions in terms of small angle approximation and what’s is their frequency?Lagrangian Dynamics Ep = 0 A pendulum of length / and mass m is mounted on a block of mass M. The block can move freely without friction on a horizontal surface as shown in the adjacent figure H. 1. Find the velocity of mass m, w.r.t the origin O 2. Write the Lagrangian of the system 3. Derive the Euler Lagrange equations
- The wavefunction for the motion of a particle on a ring is of the form ψ=NeimΦ . Evaluate the normalization constant, N. Show full and complete procedure in a clear way. DO NOT SKIP ANY STEP5. Consider the two state system with basis |+) which diagonalizes the Pauli matrix 03. Generally the state of the system at time t can be written as |W(t)) = c+(t)|+) + c_(t)|-). (i) For the Hamiltonian of the system, first take H = functions c+(t) given the initial condition that at time t = 0 Eo03. Solve for the coefficient |W(0)) = |-).please solve