example 12.98 Two particles in three-dimensional space

open in the book · parts/02-mathematical-methods/10-hilbert-spaces.tex:2703 · p. 442

Rests on

depends_on definition 12.94 Tensor product of Hilbert spaces ¶
- depends_on definition 12.2 Hilbert space ¶
  - depends_on definition 5.18 Inner product ¶
    - depends_on definition 4.33 Vector space ¶
      - depends_on definition 4.8 Commutativity; abelian structure ¶
      - depends_on definition 4.32 Field ¶
      - depends_on definition 4.31 Module ¶
  - depends_on definition 6.27 Convergence; Cauchy sequence; completeness ¶
    - depends_on definition 6.24 Metric ¶
      - depends_on definition 3.43 Map ¶
      - depends_on definition 3.38 Ordered pair and Cartesian product ¶
  - depends_on equation 5.44 eq:lin-norm-assoc ¶
- depends_on definition 5.110 Bilinear map ¶
  - depends_on definition 5.37 Linear transformation ¶
    - depends_on definition 4.33 Vector space ¶ ↺
- depends_on definition 5.18 Inner product ¶ ↺
depends_on example 12.11 The function space $L^{2}$ ¶
- depends_on definition 12.2 Hilbert space ¶ ↺
- depends_on definition 5.18 Inner product ¶ ↺

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type	direction	node	provenance	where
`cites`	→	Methods of Modern Mathematical Physics I: Functional Analysis	derived	parts/02-mathematical-methods/10-hilbert-spaces.tex:2715
`depends_on`	→	Tensor product of Hilbert spaces	declared	parts/02-mathematical-methods/10-hilbert-spaces.tex:2720
`depends_on`	→	The function space $L^{2}$	declared	parts/02-mathematical-methods/10-hilbert-spaces.tex:2720