Probability Calculation

A particle is in the ground state of a box of length L. Find the PROBABILITY of finding the particle at x = 2L/3. This is a number between 0 and 1 Note: I computed a value of .80449 which is coming out wrong.

Quantum Mechanics

A particle is in the first excited state (n = 2) of a box of length L. Find the probability of finding the particle in the interval ∆x = 0.002 located at x = L/2 .

Quantum Mechanics

A particle is in the first excited state (n = 2) of a box of length L. Find the probability of finding the particle in the interval x = 0 to x = 2L/3.

Quantum Mechanics

Part A) What is the expectation value of finding the particle at x = 2L/3 in a box of length L and in the ground state? Part B) Same question with the particle at the first excited state.(n=2) Part C) Can you explain what is the difference between a probability and an expectation value? (4 of the 7 are for the explanation!!)

Probability, Probability Density, Expectation Value

Pleas explain the differences (i.e. what does each measure) between: probability probability density expectation value