Question
In 1D quantum mechanics, states with this property can be found by identifying poles of the S-matrix in the complex plane. For 10 points each:
[10m] Name this property possessed by exactly one solution to the 1D Schrodinger equation with a delta-function potential well. States possess this property if their energy is [emphasize] less than the potential at plus or minus infinity.
ANSWER: bound states [accept word forms]
[10e] Bound states are contrasted with states named for undergoing this process. Much of quantum physics concerns solving for the amplitudes of states undergoing this process, which are encoded in the S-matrix.
ANSWER: scattering [or scattering states; or scattering amplitudes]
[10h] This formula in QFT expresses S-matrix elements in terms of a Fourier transform of n-point correlation functions times factors to ensure particles are on-shell, though it does not apply to bound states.
ANSWER: LSZ (reduction) formula [or Lehmann–Symanzik–Zimmermann (reduction) formula]
<Fine, Physics>
Summary
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