Problem number 3 from the attached problem set
Expectation values of spin states
(See attached file for full problem description)
(See attached file for full problem description)
A Charge particle of charge q and mass m undergoing simple 1D harmonic motion
A Charge particle of charge q and mass m undergoing simple 1D harmonic motion (Please refer to attached jpg)
The muon is a subatomic particle with the same charge as an electron but with a mass that is 207 times greater. m_u = 207m_e. Physicists think of muons as "heavy electrons". However, the muon is not a stable particle; it decays with a half-life of 1.5 microseconds into an electron plus two neutrinos. Muons from cosmic rays are s ...continues
Wave Functions and Uncertainty
Physicists use laser beams to create an "atom trap" in which atoms are confined within a spherical region of space with a diameter of about 1 mm. The scientists have been able to cool the atoms in an atom trap to a temperature of approximately 1 nK, which is extremely close to absolute zero, but it would be interesting to know i ...continues
Wave Functions and Uncertainty
Please see attached problem. --- The Wave function of a particle is: if -1 mm mm if 0 mm mm and 0 elsewhere. a) Assuming that this function is continuous, what can you conclude about the relationship between b and c? b) Draw graphs of the wave function and the probability density over th ...continues
A basic model of a hydrogen atom is a finite potential well with rectangular edges. A more realstic model of a hydrogen atom, although still a 1-Dimensional model, would be the electron + proton potential enrgy in one dimension: U(x) = -e^2/(4pi epsilon_0)|x|) a) Draw a graph of U(x) versus x. Center your graph at x = 0. ...continues
Please see attached PDF problem description. Thanks!!
Consider a particle of mass m moving in a tube of length L. At time t=0, its normalized wavefunction is psi(x,0)=(8/5L)^(1/2)*(1+cos(pi*x/L))*sin(pi*x/L) inside the well (0<=x<=L) and zero outside. (Hint, look for trig identities, as a superposition of eigenstates) a. If the energy of the probability is measured , what ...continues
