Symmetry breaking for Schr\"odinger-Poisson-Slater energy
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🧮 math-ph
math.APmath.MP
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energygroundstateodinger-poisson-slaterschraboveasymptoticbehavior
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We study the asymptotic behavior of ground state energy for Schr\"odinger-Poisson-Slater energy functional. We show that ground state energy restricted to radially symmetric functions is above the ground state energy when the number of particles is sufficiently large.
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