Please help with this question it’s from quantum, thank you so much! A particle of mass...
Please show details steps and explanation, label each part ,thank you very much! a) b) Consider the normalized state for a quantum mechanical particle of mass μ con- strained to move on a circle of radius ro, given by: If you measured the z-component of angular momentum to be 3h, what would the state of the particle be immediately after the measurement is made? If you measured the z-component of angular momentum at some time tメ0, what is the probability...
2. A particle of mass m in the infinite square well of width a at time 1 - 0 has wave function that is an equal weight mixture of the two lowest n= 1,2 energy stationary states: (x,0) - C[4,(x)+42(x)] (a) Normalize the wave function. Hints: 1. Exploit the orthonormality of W, 2. Recall that if a wave function is normalized at t = 0, it stays normalized. (b) Find '(x, t) and (x,1)1at a later time 1>0. Express Y*...
A NON stationary state A particle of mass m is in an infinite square well potential of width L, as in McIntyre's section 5.4. Suppose we have an initial state vector lv(t -0) results from Mclntrye without re-deriving them, and you may use a computer for your math as long as you include your code in your solution A(3E1) 4iE2)). You may use E. (4 pts) Use a computer to plot this probability density at 4 times: t 0, t2...
Please solve this question, and show steps. Thank you so much. A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The length and mass of the rod are 0.711 m and 1.13 kg, respectively. A force of constant magnitude Facts on the rod at the end opposite the rotation axis. The direction of the force is perpendicular to both the rod's length and the rotation axis. Calculate...
Could you please answer this question by clear handwriting UESTION 2 A particle of mass m moves in a one- dimensional box of length Lwith boundaries at x-0 and x - L. Thus, V(x) - 0 for 0 x L and V(x) elsewhere. The normalized eigenfunctions of the Hamiltonian for the system are given by 1/2 -| sin 1-_- , with -, where the quantum number 2ml2 n can take on the values n -1, 2, 3, (i). Assuming that...
Griffiths Introductory to Quantum Mechanics (3rd Edition): Problem 7.9 Problem 7.9 Consider a particle of mass m that is free to move in a one- dimensional region of length L that closes on itself (for instance, a bea that slides frictionlessly on a circular wire of circumference L, as Problem 2.46) (a) Show that the stationary states can be written in the form 2π inx/L where n 0, t l, 2, , and the allowed energies are In Notice that-with...
Help me please, my example from class aren’t of any help to me. Thank you. 1. A mass of 2.85 kg is attached to a spring (k 225 N/m) and set to oscillate orizontally on a frictionless track by stretching the spring 0.48 m. a) Determine the position, velocity, and acceleration as a function of time. c) How much time elapses from the moment the mass is released until it d) What is the maximum velocity and maximum acceleration of...
please answer the following questions so I can understand, thank you very much! A mass, m, is attached to a massless string of length l; the other end of the string is attached to a rigid and frictionless support. While keeping the string taut, the mass is raised to a height h (see diagram) and released. Under the force of gravity (g = 9.8 m/s), the motion of the mass follows the dashed line (i.e., it's a pendulum). (a) Draw...
Please do this problem about quantum mechanic harmonic oscillator and show all your steps thank you. Q1. Consider a particle of mass m moving in a one-dimensional harmonic oscillator potential. 1. Calculate the product of uncertainties in position and momentum for the particle in 2. Compare the result of (a) with the uncertainty product when the particle is in its the fifth excited state, ie. (OxơP)5. lowest energy state. Q1. Consider a particle of mass m moving in a one-dimensional...