Show that for N=3 W state, if one particle is lo

Electron is confined in a 1D infinite potential well: U(x) = 0 at -a a. Using TIPT, calculate how the energy of the ground state is changed by a weak disturbance V = -Fr caused by a uniform electric field F.

For an infinite potential well of length L, determine the difference in probability that a particle might be found between x = 0.25L and x = 0.75L between the n = 3 state and the n = 5 states.

Chapter 39, Problem 009 Suppose that an electron trapped in a one-dimensional infinite well of width 144 pm is excited from its first excited state to the state with n 9. (a) What energy must be transferred to the electron for this quantum jump? The electron then de- excites back to its ground state by emitting light. In the various possible ways it can do this, what are the (b) shortest, (c) second shortest, (d) longest, and (e) second longest wavelengths that can be emitted? (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units

Calculate the probability that for the 1s state the electron lies between r and r+dr

22 A particle is confined to the one-dimensional infinite poten- tial well of Fig. 39-2. If the particle is in its ground state, what is its probability of detection between (a) x = 0 and x = 0.30L. (b) x = 0.70L and x = L, and (c) x = 0.30L and x = 0.70L? U(x) Fig 39-2

The wave function for the ground state of hydrogen is given by 100(0,0) = Ae¯¯r/ª Find the constant A that will normalize this wave func- tion over all space.