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    Machine accuracy vs. smallest representable number vs. smallest normalized number

    Homework Statement "Explain the difference between the machine accuracy, the smallest representable number, and the smallest normalized number in a floating point system". Homework Equations There is the bit-representation of floating numbers: (-1)^S * M * b^(E-e), using the fact that we can...
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    P+p -> p + (anti)p

    p+p --> p + (anti)p Hi everyone, I'm looking at the following problem from C. Bertulani's Ch.1, Problem 6. The problem statement is: "Using relativistic expressions for momentum and energy conservation, show that a proton must have energy greater than 5.6 GeV to produce a proton-antiproton...
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    Can an even number of Fermions be a Bosonic system?

    Hi everyone, I've just done a problem where we are dealing with two protons with the same spin directions and the system is treated as a fermionic system. I always had the notion that two (or an even number of) fermions, for opposite spin perhaps, act as bosons. Is this true? If so, when...
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    Why does vacuum have energy?

    Hello Everyone, I've been asked to work out a problem about vacuum energy <0|H|0> where H is the energy density of harmonic oscillator. When I integrate this expectation value over space of finite dimensions L, I get that the expectation value for the vacuum energy scales as L^3 . Does...
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    Why does Klein-Gordon's equation not obey quantum mechanics?

    Hello Everyone, I was reading in Srednicki's QFT book, Chapter 1 and he was explaining why the Klein-Gordon equation doesn't obey quantum mechanics. He said the fact that the time derivative is second order means it disobey's Shrodinger's equation which is first order in the time derivative...
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    Transformation function from ground state -> nth energy state, force applied, HO

    Hello Everyone! I have a question regarding a Quantum problem I am trying to solve in L. Brown's Quantum Field Theory book, Chapter 1, Problem 4.f. Homework Statement I have a question which asks me to compute [p][/n], i.e. the probability that the ground state (n=0) is brought to the...
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    Find recursion relation, ODE, to find relation between d_(n+1), d_(n), and trK^(n+1)

    Hello Everyone! I have a problem I am solving through a self study project from Lowell Brown's book entitled: Quantum Field Theory". It is a math question (basically) on recursion relations. Homework Statement The variational definition gives us the relation: det[1-λK] = exp{tr...
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