Physics Homework Solutions

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 explanati ...continues

Probability, Probability Density, Expectation Value

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

Time Development Operator

Someone, please help me with this problem. I don't even know where to start.

Matrix Representation for the Hamiltonian of the Infinite Square Well

I tried doing it but I don't think I got the right answer. For the Hamiltonian I get the identity matrix which looks highly suspicious. I don't know how to do part b. I know how to do part c though but I need to get right answers for parts a and b.

Harmonic Oscillator

See attached please. I need a very complete and detailed solution.

Spin Angular Monentum

Please see attached file.

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