C (i) Consider the anti-symmetric wavefunction Obtain an expression for NA from the normalization requirement You can a...
lsa(1) lsB(1) 1Isa(2) 1sja 7. Consider this two-electron wave function: ψ-C Write the expression for ψ that comes from expanding the determinant. Find the normalization constant, C. The 1s orbitals are orthonormal, and so are the spin orbitals. a) b) Using your answer from (a), show that the wave function factors into a spin part and a spatial part. Hint: It may help to rewrite each spin orbit so its spatial and spin factors are clearer. For instance, rewrite Isa...
A particle of mass m is bound by the spherically-symmetric three-dimensional harmonic- oscillator potential energy , and ф are the usual spherical coordinates. (a) In the form given above, why is it clear that the potential energy function V) is (b) For this problem, it will be more convenient to express this spherically-symmetric where r , spherically symmetric? A brief answer is sufficient. potential energy in Cartesian coordinates x, y, and z as physically the same potential energy as the...
I am really struggling with quantum. Can someone
please help me with those questions
4.2. Using basic quantum concepts Pr 4.3 This problem reinforces your understanding of normalization, prob- ability densities, and mean (expectation) values. The ground state wave function for a particle in a wire is = (2/a)/2 sin(x/a). (a) Define the ground state wave function for the particle in a wire using Maple. Hint: see Appendix A. (b) Write down a mathematical expression for the normalization of the...
2. Goal of this problem is to study how tunnelling in a two-well system emerges. In particular, we are interested in determining how the tunnelling rate T' of a particle with mass m scales as a function of the (effective) height Vo - E and width b of an energy barrier separating the two wells. The following graphics illustrates the set-up. Initially the particle may be trapped on the left side corresponding to the state |L〉, we are now interested...
i was given wrong solutions for these can you help with
these
CH Considering the requirement of an anti-periplanar geometry, what E2 product(s) is/are formed from each starting material? Note: Deuterium (Atomic Symbol: D) is one of the two stable isotopes of hydrogen. It nucleus contains one proton and one neutron, whereas the nucleus of the more common isotope, protium, contains only one proton. The heavier version of hydrogen can undergo the same chemical reactions as the lighter version, but...
25/04/19
Please can you show me how to do this part of the question. I
nearly got it, but I’m not sure where the 8*pi factor comes from at
the front. The energy is epsilon = c*p, which may be difficult to
read.
Then please can you go on to show the following via finding the
helmholtz free energy. I nearly got it, except for the 4 at the
front.
Thanks!
Consider an ideal gas of N identical reletivistic free...
2. Consider an isolated system consisting of a large number N of very weakly interacting localized particles of spin 1 2. Each particle has a rnagnetic mioment μ which can point parallel or anti-parallel to an applied field H. The energy E of the systern is then E =-(ni-n2):1H, antiparallel to H. (a) Consider the energy range between E and E+δΕ where δΕ < E but is microscopically large so that δΕ μΗ. What is the total number of states...
Hi there can you please answer question part (b) (ii) - thank
you
Consider a test particle of mass m orbiting in a Schwarzschild black hole of mass M. If the particle orbits at a speed uc and at a distance r > ., where c is the speed of light and . = 2GM/? the Schwarzschild radius, we can use the usual Newtonian central force equations of motion to analyse the orbit. The effective potential, however, needs to be...
Question 9 Consider a quantum system comprising two indistinguishable particles which can occupy only three individual-particle energy levels, with energies 81 0, 82 2 and E3 38.The system is in thermal equilibrium at temperature T. (a) Suppose the particles which can occupy an energy level. are spinless, and there is no limit to the number of particles (i) How many states do you expect this system to have? Justify your answer (ii) Make a table showing, for each state of...
Can you please help me to solve this exercise? I know it is
quite long but please try to do as much as your are allowed to
do.
Thank you
5.- (Pressure and energy density of electromagnetic radiation) Consider the electromagne- tic radiation (photon gas) contained in an edge box Lg, Ly and L2. As an image moves with the speed of light, it is a relativistic particle. Therefore, its energy e is related to its moment hK through: к3)12...