`Hamiltonian`

definition

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module: IndisputableMonolith.Quantum.Observables
domain: Quantum
line: 24 · github
papers citing: none yet

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IndisputableMonolith.Quantum.Observables on GitHub at line 24.

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formal source

  21  idempotent : op.comp op = op
  22
  23/-- Hamiltonian operator -/
  24structure Hamiltonian (H : Type*) [RSHilbertSpace H] extends Observable H where
  25  /-- Energy must be bounded below -/
  26  bounded_below : ∃ E₀ : ℝ, ∀ ψ : NormalizedState H,
  27    (⟪op ψ.vec, ψ.vec⟫_ℂ).re ≥ E₀
  28
  29end IndisputableMonolith.Quantum

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