Matches in SemOpenAlex for { <https://semopenalex.org/work/W2267904965> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W2267904965 abstract "We establish in this section an integral $$begin{array}{*{20}{c}} hfill {left[ {int_{mathbb{R}} {{{{(x - b)}}^{2}}|psi (x)} {{|}^{2}}dx} right]left[ {int_{mathbb{R}} {|psi prime (x){{|}^{2}}dx - 2ia} int_{mathbb{R}} {psi prime (x)bar{psi }(x)dx} } right.} hfill {left. { + {{a}^{2}}int_{mathbb{R}} {|psi (x){{|}^{2}}dx} } right] geqslant frac{1}{4}{{{left[ {int_{mathbb{R}} {|psi (x){{|}^{2}}dx} } right]}}^{2}},} end{array}$$(6.1.1)to as Heisenberg’s inequality, for a sufficiently nice function Ψ : ℝ → ℂ where a, b ∈ ℝ. Even though Ψ is allowed to be complex-valued the second factor on the left-hand side of (6.1.1) will be non-negative. This inequality, which is a purely mathematical result of course, will be shown to form the basis for a precise formulation of Heisenberg’s uncertainty principle. The discussion of this principle in Chapter 1 was brief and non-rigorous. For now, we proceed strictly along mathematical lines." @default.
- W2267904965 created "2016-06-24" @default.
- W2267904965 creator A5059996021 @default.
- W2267904965 date "2003-01-01" @default.
- W2267904965 modified "2023-09-26" @default.
- W2267904965 title "Heisenberg’s Uncertainty Principle" @default.
- W2267904965 doi "https://doi.org/10.1007/978-1-4612-0009-3_7" @default.
- W2267904965 hasPublicationYear "2003" @default.
- W2267904965 type Work @default.
- W2267904965 sameAs 2267904965 @default.
- W2267904965 citedByCount "0" @default.
- W2267904965 crossrefType "book-chapter" @default.
- W2267904965 hasAuthorship W2267904965A5059996021 @default.
- W2267904965 hasConcept C111919701 @default.
- W2267904965 hasConcept C114614502 @default.
- W2267904965 hasConcept C121332964 @default.
- W2267904965 hasConcept C181543814 @default.
- W2267904965 hasConcept C184992742 @default.
- W2267904965 hasConcept C199343813 @default.
- W2267904965 hasConcept C2777686260 @default.
- W2267904965 hasConcept C2780129039 @default.
- W2267904965 hasConcept C33923547 @default.
- W2267904965 hasConcept C37914503 @default.
- W2267904965 hasConcept C41008148 @default.
- W2267904965 hasConcept C62520636 @default.
- W2267904965 hasConcept C71924100 @default.
- W2267904965 hasConcept C84114770 @default.
- W2267904965 hasConceptScore W2267904965C111919701 @default.
- W2267904965 hasConceptScore W2267904965C114614502 @default.
- W2267904965 hasConceptScore W2267904965C121332964 @default.
- W2267904965 hasConceptScore W2267904965C181543814 @default.
- W2267904965 hasConceptScore W2267904965C184992742 @default.
- W2267904965 hasConceptScore W2267904965C199343813 @default.
- W2267904965 hasConceptScore W2267904965C2777686260 @default.
- W2267904965 hasConceptScore W2267904965C2780129039 @default.
- W2267904965 hasConceptScore W2267904965C33923547 @default.
- W2267904965 hasConceptScore W2267904965C37914503 @default.
- W2267904965 hasConceptScore W2267904965C41008148 @default.
- W2267904965 hasConceptScore W2267904965C62520636 @default.
- W2267904965 hasConceptScore W2267904965C71924100 @default.
- W2267904965 hasConceptScore W2267904965C84114770 @default.
- W2267904965 hasLocation W22679049651 @default.
- W2267904965 hasOpenAccess W2267904965 @default.
- W2267904965 hasPrimaryLocation W22679049651 @default.
- W2267904965 hasRelatedWork W100321222 @default.
- W2267904965 hasRelatedWork W113400240 @default.
- W2267904965 hasRelatedWork W142485648 @default.
- W2267904965 hasRelatedWork W1516092836 @default.
- W2267904965 hasRelatedWork W2053670820 @default.
- W2267904965 hasRelatedWork W2071809374 @default.
- W2267904965 hasRelatedWork W2079862116 @default.
- W2267904965 hasRelatedWork W2204376908 @default.
- W2267904965 hasRelatedWork W2327447718 @default.
- W2267904965 hasRelatedWork W2524046583 @default.
- W2267904965 hasRelatedWork W2547413383 @default.
- W2267904965 hasRelatedWork W2567225511 @default.
- W2267904965 hasRelatedWork W271557312 @default.
- W2267904965 hasRelatedWork W2741743703 @default.
- W2267904965 hasRelatedWork W2949198784 @default.
- W2267904965 hasRelatedWork W2988884866 @default.
- W2267904965 hasRelatedWork W3092504824 @default.
- W2267904965 hasRelatedWork W560212111 @default.
- W2267904965 hasRelatedWork W848127 @default.
- W2267904965 hasRelatedWork W2789456500 @default.
- W2267904965 isParatext "false" @default.
- W2267904965 isRetracted "false" @default.
- W2267904965 magId "2267904965" @default.
- W2267904965 workType "book-chapter" @default.