PHYS 481/681 Quantum Mechanics Stephen Lepp August 29, 2016
... Introduction to Quantum Mechanics nd the interpretation of its solutions, the uncertainty principles, one-dimensional problems, harmonic oscillator, angular momentum, the hydrogen atom. 3 credits. • Class MW 11:30-12:45 BPB 249. • Office Hours TTh 12:45-1:30 or by arrangement. • Textbook “Quantum Me ...
... Introduction to Quantum Mechanics nd the interpretation of its solutions, the uncertainty principles, one-dimensional problems, harmonic oscillator, angular momentum, the hydrogen atom. 3 credits. • Class MW 11:30-12:45 BPB 249. • Office Hours TTh 12:45-1:30 or by arrangement. • Textbook “Quantum Me ...
Mid Semester paper
... (b) A particle of mass m moves under a force F (x) = −cx3 , where c is a positive constant. Find the potential energy function. If the particle starts from rest at x = −a, what is the velocity when it reaches x = 0? Where with subsequent motion does it come to rest? 8. (a) Show that for an isolated ...
... (b) A particle of mass m moves under a force F (x) = −cx3 , where c is a positive constant. Find the potential energy function. If the particle starts from rest at x = −a, what is the velocity when it reaches x = 0? Where with subsequent motion does it come to rest? 8. (a) Show that for an isolated ...
Problem set 5
... 1. Find the 2 × 2 matrix representing a counter-clockwise rotation (by angle φ about the n̂ direction), of the spin wavefunction of a spin- 12 particle. Express the answer as a linear combination of the identity and Pauli matrices. 2. Show that the exchange operator acting on the Hilbert space of tw ...
... 1. Find the 2 × 2 matrix representing a counter-clockwise rotation (by angle φ about the n̂ direction), of the spin wavefunction of a spin- 12 particle. Express the answer as a linear combination of the identity and Pauli matrices. 2. Show that the exchange operator acting on the Hilbert space of tw ...
... relativistic particle and its D-dimensional extended object generalization d-brane. The corresponding matter Lagrangians naturally contain background interactions, like electromagnetism and gravity. For a dbrane that doesn’t alter the background fields, we define non-relativistic equations assuming ...
7.2.4. Normal Ordering
... Since the terms in the square bracket are simply the number of particles and antiparticles with momentum k, the total energy is always positive. Obviously, the technique should be applied to all “total” operators that involve integration over all degrees of freedom. defined by [see (7.4)], ...
... Since the terms in the square bracket are simply the number of particles and antiparticles with momentum k, the total energy is always positive. Obviously, the technique should be applied to all “total” operators that involve integration over all degrees of freedom. defined by [see (7.4)], ...
1. Calculate the partition function of the hydrogen atom at room
... where p = 2mE ≡ k and p′ = 2m(E − V0 ) ≡ k ′ are the momenta of the particle to the left and to the right of the barrier (and k and k’ are the corresponding wavevectors). Notice that Planck’s constant does not enter the above expression at all. Since quantum mechanics is a better theory than class ...
... where p = 2mE ≡ k and p′ = 2m(E − V0 ) ≡ k ′ are the momenta of the particle to the left and to the right of the barrier (and k and k’ are the corresponding wavevectors). Notice that Planck’s constant does not enter the above expression at all. Since quantum mechanics is a better theory than class ...
