Recent content by benedwards2020

  1. B

    Symmetry groups and Caley tables

    Many thanx.... Sometimes these maths books can be a bit vague
  2. B

    Symmetry groups and Caley tables

    Homework Statement I have a shape about the origin. It has rotational symmetry but not reflectional symmetry (its an odd star shape!). I have to write down in standard notation the elements of the symmetry group and I have to construct a caley table under composition of symmetries. I...
  3. B

    Boltzmanns law

    Well, I'm assuming that its the principles of statistical mechanics that they're after. As I said, I only know of two 'principles'. I am working on quantum theory though and don't know of any separate principles from Boltzmann for this.
  4. B

    Boltzmanns law

    Write down the 3 principles underpinning Boltzmanns law and indicate which of these is incompatible with the quantum theory of gases The Attempt at a Solution Well I know two... 1. The conservation of energy 2. Equal probabilities of allowed configurations But I'm a bit stuck...
  5. B

    Ignoring Indistinguishability

    I have been asked to find whether or not indistinguishability may or may not be ignored from a given sample of atoms at a given temperature. The calculation I have done fine, but my question is given that the criterion for neglecting indistinguishability has to satisfy de broglie...
  6. B

    Normalization Factor

    Ok, that would be \frac{1}{57}+\frac{4}{57}+\frac{16}{57}+\frac{36}{57} which = 1
  7. B

    Normalization Factor

    Ah... So for P(2h) this corresponds to psi(+2) which has coefficient of -6/sqrt(57) yes? which gives us by modulus square of coefficients 36/57?
  8. B

    Normalization Factor

    Oh dear... Back to the books again I think.... My paper asks for probabilities for each of the measurements and gives an example similar to the answers I just gave.... I can honestly say that quantum stuff really isn't my forte!! What should I be looking out for when calculating probabilities?
  9. B

    Normalization Factor

    So the probability for each of the measurements S: -h, 0, 2h will be simply P(-h) = -1/(sqrt(57)) P(0) = 0 P(2h) = 4/(sqrt(57)) Is this right?
  10. B

    Normalization Factor

    Sorry... Of course \frac{1}{N} \times \frac{36}{N} = \frac{36}{N^2} So \frac{57}{N^2} has N = 7.5498
  11. B

    Normalization Factor

    Ah.. I see what you mean.. \frac{1}{N} \times \frac{36}{N} = \frac{1}{N^2} Therefore I should have \frac{1}{N^2}+\frac{4}{N^2}+\frac{16}{N^2}+\frac{36}{N^2} = 1
  12. B

    Normalization Factor

    \frac{2 \times 5}{3 \times 7}=\frac{10}{21} Am I right in saying that \frac{1}{N}\left(\frac{1}{N}+\frac{4}{N}+\frac{16} {N}+\frac{36}{N}\right) = 1 but wrong in how I've multiplied it out?
  13. B

    Normalization Factor

    I just multiplied out the brackets as you would normally... Something tells me I'm wrong here....
  14. B

    Normalization Factor

    Hmm... I'm probably missing some vital piece of knowledge here.... My books aren't very explicit in describing this situation... In fact Im finding the whole quantum physics stuff a bit hard to follow... But anyhow For the points you raise... (i) I understand your point about the squared...
  15. B

    Normalization Factor

    Homework Statement A quantum system has a measurable property represented by the observable S with possible eigenvalues nh, where n = -2, -1, 0, 1, 2. The corresponding eigenstates have normalized wavefunctions \psi_{n}. The system is prepared in the normalized superposition state given by...
Top