A system is governed by a Hamiltonian . For a given normalised trial wave function ,...

 

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A system is governed by a Hamiltonian . For a given normalised trial wave function , show that the expectation value of the Hamiltonian in this state is an upper bound on the true ground-state energy of the system. Explain under what circumstances an upper bound can be found for the energy of an excited state, giving an example. TIDLING A system is governed by a Hamiltonian . For a given normalised trial wave function , show that the expectation value of the Hamiltonian in this state is an upper bound on the true ground-state energy of the system. Explain under what circumstances an upper bound can be found for the energy of an excited state, giving an example. TIDLING

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the Variational Theorem which is a powerful tool in quantum mechanics It allows us to find an upper bound to the true ground state energy of a system ... View the full answer