equation 12.71 eq:hilbert-weyl-relation
open in the book ·
parts/02-mathematical-methods/10-hilbert-spaces.tex:2994
- part of a statement or proof
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Supports
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depends_on
definition A.580
Weyl operator
¶
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depends_on
definition A.585
The Gaussian average of the Weyl operators
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depends_on
theorem A.587
The Gaussian average is a non-zero projector that
absorbs the Weyl operators
¶
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depends_on
lemma A.590
The Gram matrix is universal
¶
- depends_on proposition A.591 Any two irreducible Weyl systems are equivalent ¶
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depends_on
proposition A.589
Cyclic subspaces and the rank of the average
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- depends_on lemma A.590 The Gram matrix is universal ¶ ↺
- depends_on proposition A.591 Any two irreducible Weyl systems are equivalent ¶ ↺
- depends_on proposition A.592 The vacuum of the Schrödinger system ¶
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depends_on
lemma A.590
The Gram matrix is universal
¶
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depends_on
theorem A.587
The Gaussian average is a non-zero projector that
absorbs the Weyl operators
¶
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depends_on
lemma A.581
Composition law
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depends_on
lemma A.582
Joint strong continuity
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depends_on
lemma A.583
Absolutely convergent operator-valued integrals
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- depends_on definition A.585 The Gaussian average of the Weyl operators ¶ ↺
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depends_on
lemma A.583
Absolutely convergent operator-valued integrals
¶
- depends_on lemma A.590 The Gram matrix is universal ¶ ↺
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depends_on
lemma A.582
Joint strong continuity
¶
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depends_on
definition A.585
The Gaussian average of the Weyl operators
¶
- depends_on lemma A.581 Composition law ¶ ↺
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | Weyl operator | declared | appendices/A-long-proofs.tex:27740 |
depends_on |
← | Composition law | declared | appendices/A-long-proofs.tex:27761 |