1) Consider a particle moving in one dimension. Is it possible for the particle to be in a state of definite P and X, i.e., can both x and p known at the same time? (show your work)
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- Problem Consider the ODE x = 2-3x with initial condition x(to) = 1 and to = 0. What is the value of the state x when t = 2? Estimate when the system will decay to a constant value using the time constant of the system (i.e., after 4 time constants)? 4please solve number 4Please assist with this physics homework
- Please, I want to solve the question correctly, clearly and conciselyQuestion A3 Consider the energy eigenstates of a particle in a quantum harmonic oscillator with frequency w. a) Write down expressions for the energies of the three lowest states. b) c) Sketch the potential for this system, along with the position of the three lowest energy levels. Add to your sketch the form of the wavefunction and the probability density in the three lowest energy states. [10 marks]Question A4 A particle is in an energy eigenstate described by the wavefunction (x,t) = v(x) exp(-iot/2), where σ is a constant. a) Apply the energy operator, Ê, to determine the energy eigenvalue of this particle. b) Show that the uncertainty in its energy, AE, is zero. [8 marks]