Problem 4. Imagine you are a biophysical chemist and are interested in electron transport by membrane...
5. Part 1. (6 pt) An electron moves around a 2D ring with ring radius 0.50 nm in the state m --20. Determine the wavelength (in nm) of the particle wave induced by this electron. (similar to a question in Exam 1) Part 2. (a) (7pt) A wavefunction is given by y, (e, 4-B sin cos(6). Can this function be an eigenfunction of Legendrían operator (A2.sunagatsineaesin暘for a quantum particle moving around a spherical surface)? If so, determine the eigenvalue and...
please show work, thank you. Question #4: (25 points total) In this problem, you are going to walk you through a brief history of quantum mechanics apply the principles of quantum mechanics to a physical system (free electron) 1900 Planck's quantization of light: light with frequency v is emitted in multiples of E hv where h 6.63x10-341.s (Planck's constant), and h =hw h 1905 Einstein postulated that the quantization of light corresponded to particles, now called photons. This was the...
4. A particle moves in a periodic one-dimensional potential, V(x a)-V(x); physically, this may represent the motion of non-interacting electrons in a crys- tal lattice. Let us call n), n - 0, +1, t2, particle located at site n, with (n'In) -Sn,Let H be the system Hamiltonian and U(a) the discrete translation operator: U(a)|n) - [n +1). In the tight- binding approximation, one neglects the overlap of electron states separated by a distance larger than a, so that where is...