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interaction picture
(redirected from Free Hamiltonian)

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interaction picture [¦in·tə¦rak·shən ‚pik·chər]
(quantum mechanics)
A mode of description of a system in which the time dependence is carried partly by the operators and partly by the state vectors, the time dependence of the state vectors being due entirely to that part of the Hamiltonian arising from interactions between particles. Also known as interaction representation.
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Topics also include asymptotic formulas for the ground-state energy of fermionic gas, renormalization ideas in quantum field theory from perturbation so of the free Hamiltonian on the circle, J-selfadjoint Dirac operators, spectral theory of Schrodinger operators, inverse problems, isoperimetric inequalities in quantum mechanics, Hardy inequalities and non-adiabatic transitions.
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