OAI/Analysis/LiebThirring/SchrodingerOperator.lean
5 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.SharpLiebThirring.OperatorProof.operatorline 14Source documentation
The self-adjoint realization of
-d²/dx²-W, obtained by inverting the coercively shifted H¹ form. The graph identity below characterizes it without reference to the choice of potential decomposition or shift.def operator {W : ℝ → ℝ} (d : PotentialData W) : L2C →ₗ.[ℂ] L2C := …Mentions: OAI.SharpLiebThirring.OperatorProof.PotentialData, OAI.SharpLiebThirring.OperatorProof.L2C
- lemma
OAI.SharpLiebThirring.OperatorProof.operator_selfAdjointline 17 - lemma
OAI.SharpLiebThirring.OperatorProof.operator_denseline 22 - lemma
OAI.SharpLiebThirring.OperatorProof.operator_graphline 25 - lemma
OAI.SharpLiebThirring.OperatorProof.operator_associatedline 62