Harmonic oscillator (9 pt) a) (6 pt) calculate the expectation value of the following operators with respect to the state in) of simple harmonic oscillator( i. e. (nlî |xn), (n|p|n), (a) î (b) x (c) p. (d) ń 2 (e) 2 (f) (g) (h) 3 4 5 (i) î6 b) (3 pt) use the result of (a) to calculate the energy en for a particle in the eigenstaten) of the harmonic oscillator, whose hamiltonian is, à = "* +3mw? 82 – a83 – bx+4 +385

Write maxwell's equations and discuss the terms involved and the results of each equation in classical electrodynamics. if it is possible to write these equations in integral form, give the integral forms. find the wave equation for electromagnetic waves from the maxwell equations. what is the propagation velocity of electromagnetic waves in space according to the wave equation you find?

Lightning is an example of what phenomenon? a release of a large amount of energy an absorption of a large amount of energy a natural electric circuit a natural electric current

An astronaut in space cannot use a scale or balance to weigh objects because there is no gravity. but she does have devices to measure distance and time accurately. she knows her own mass is 77.4 kg , but she is unsure of the mass of a large gas canister in the airless rocket. when this canister is approaching her at 3.50 m/s , she pushes against it, which slows it down to 1.30 m/s (but does not reverse it) and gives her a speed of 2.60 m/s . what is the mass of the canister?