The quantum scattering amplitude in Rn for potentials decreasing faster than ‖x‖−(n+1)/2
DOI10.1063/1.526376zbMath0557.35102OpenAlexW2005432327MaRDI QIDQ3222632
Jean-Michel Combes, Jean-Michel Ghez
Publication date: 1984
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526376
Schrödinger operatortwo-body problemscattering amplitudeshort-range potentialBorn approximationanalytic limiting absorption principle
Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) (2)-body potential quantum scattering theory (81U05) Partial differential equations of mathematical physics and other areas of application (35Q99)
Cites Work
- Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
- Spectral properties of Schrödinger operators and time-decay of the wave functions results in \(L^2(\mathbb{R}^m),\;m\geq 5\)
- Finite total cross-sections in nonrelativistic quantum mechanics
- Asymptotic properties of solutions of differential equations with simple characteristics
- Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
- A class of analytic perturbations for one-body Schrödinger Hamiltonians
- A time-dependent approach to the total scattering cross section
- Analyticity of the Schrödinger Scattering Amplitude and Nonrelativistic Dispersion Relations
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