Recent content by FraserAC

  1. FraserAC

    Graduate What Are Advanced Dissertation Topics in Quantum Computing?

    Thanks very much! The quantum algorithms one sounds good and so does the Decoherence and quantum error corrections. I'll have a look over the next few days and make a final decision, then post it back on here. Very helpful though, thank you!
  2. FraserAC

    Graduate What Are Advanced Dissertation Topics in Quantum Computing?

    Well, I enjoy the abstract theoretical nature of the maths, but also like attempting to connect it to something physical (I.e. in the project last semester I discussed spin of electrons and how to manipulate it physically using a set up similar to the Stern-Gerlach apparatus, as well as...
  3. FraserAC

    High School Difference between opposite states

    You can take out a global phase factor of -1 or ( e^(i*pi) ) from the second one and return the first one you mentioned. (By which I simply mean you can take out a factor of -1). This phase factor does not effect something called the expectation values of the Hermitian operator, which means...
  4. FraserAC

    Graduate What Are Advanced Dissertation Topics in Quantum Computing?

    Hi! I'm going on to the masters year of a theoretical physics course and I need some inspiration for my dissertation. Last year I did a one semester long project on quantum computation. (More specifically I discussed the general idea of a qubit, a simple method of realising a qubit using spin...
  5. FraserAC

    Graduate Hamilton's principle and minimum potential energy

    I know this will be a very unsatisfactory answer, but I think the fact that objects act to minimise their potential energy is just a experimentally proven fact of nature, I don't think it's actually known why it happens. Something worth investigating though if you're interested in it. Maybe you...
  6. FraserAC

    Graduate Hamilton's principle and minimum potential energy

    vanhees71, I'm just starting a module on classical mechanics and spotted this thread, to digress for a second, if that's ok, I understand the Langrangian is L = T - V and the q (dot) values are generalised velocities, but what's the g matrix that you've written in your non-relativistic...
  7. FraserAC

    High School Help Understanding the Uncertainty Principle

    Scanning tunnelling microscopy works via the principle of quantum tunnelling. It does not work like a conventional microscope, (an object under study is bombarded with photons and then passed through a magnifying lens, allowing the user to see an image). STM's have a needle, like you mention...
  8. FraserAC

    Graduate Understanding Holonomic Constraints in Lagrangian Mechanics

    Hi, I'm in the masters year of a theoretical physics course which begins this September. I'm reading the classical mechanics notes ahead of time, and I came across the idea of holonomic and non-holonomic constraints. I understand that in the case of a holonomic system, you can use the...