A rectangular corral of widths Lx =L and Ly =2L contains seven electrons. What multiple of h2/8mL2 gives the energy of the ground state of this system? Assume that the electrons do not interact with one another, and do not neglect spin.

https://www.compadre.org/PQP/applications/prob14_6.cfm  The animation depicts two 100-gram spheres connected by a spring with k = 200 N/m (position given in meters and time is given in seconds).  Determine the quantum number associated with the angular momentum state shown.

Chapter 39, Problem 044 A hydrogen atom in a state having a binding energy (the energy required to remove an electron) of -1.51 eV makes a transition to a state with an excitation energy (the difference between the energy of the state and that of the ground state) of 10.200 eV. (a) What is the energy of the photon emitted as a result of the transition? What are the (b) higher quantum number and (c) lower quantum number of the transition producing this emission? Use -13.60 eV as the binding energy of an electron in the ground state. (a) Number Units (b) Number Units (c) Number Units

A proton is confined in box whose width is d = 750 nm. It is in the n=3 energy state. What is the probability that the proton will be found within a distance of d/n from one of the walls? [Hint: the average value sin^2x over one or more of its cycles is 1/2]  PLEASE PLEASE include a sketch of U(x) and Ψ(x)