1 True/False (12 points) Circle T if the statement is always true. Otherwise cir
ID: 2304835 • Letter: 1
Question
1 True/False (12 points) Circle T if the statement is always true. Otherwise circle F for false. 2 points each T F The wavefunction describing a many-body quantum system that is a mixture of Fermions and T F T F T F Observables in quantum mechanics are represented by Hermitian Operators. All operators used in quantum mechanics are Hermitian. The wave function describing the positions of two identical deuterons (the nucleus of a deuterium atom), each with 1 proton and 1 neutron, must be symmetric with exchange of the two deuteron's position coordinates since the deuteron is a (composite) boson T F The variational principle states that for any quantum system, the expectation value of the Hami tonian evaluated using any normalized trial wave function will always be larger than the energy of the system's ground state T F In the variational method, if one uses a normalized trial function ? orthogonal to the ground state wave function of a quantum system, then (pHlp) always gives an upper bound for the energy of the first excited state.Explanation / Answer
1.F symmetric only for fermion not for Boson.
2.T
3.T
4.T
5.T
6.F This violates the variational principle. Variational principle gives the heighest value of ground state energy not first excited state energy.
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