A Uniqueness Theorem for the N-Body Schrödinger Equation and Its Applications

Let us consider a system of N-particles in R ^ν with mass m_i and position xⁱ . Then the associated kinetic energy operator H 0 ˜ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072096/6e6221c8-364d-4a5e-bfe5-98bb034e69b7/content/eq843.tif"/> is given by H 0 ˜ = − ∑ i = 1 N 1 2 m i Δ x i . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072096/6e6221c8-364d-4a5e-bfe5-98bb034e69b7/content/eq844.tif"/>