Editing Self-adjoint operator (section)

== References ==

* {{cite book | last=Akhiezer | first=Naum Ilʹich | title=Theory of Linear Operators in Hilbert Space | publisher=Pitman | publication-place=Boston | date=1981 | isbn=0-273-08496-8}}
* {{citation | last1=Berezin | first1=F. A. | last2=Shubin | first2=M. A. | title=The Schrödinger Equation | publisher=Kluwer | year=1991 }}
* {{cite journal | last1=Bonneau | first1=Guy | last2=Faraut | first2=Jacques | last3=Valent | first3=Galliano | title=Self-adjoint extensions of operators and the teaching of quantum mechanics | journal=[[American Journal of Physics]] | volume=69 | issue=3 | date=2001 | issn=0002-9505 | doi=10.1119/1.1328351 | pages=322–331| arxiv=quant-ph/0103153 | bibcode=2001AmJPh..69..322B }}
* {{cite journal | last1=Bebiano | first1=N. | last2=da Providência | first2=J. | title=Non-self-adjoint operators with real spectra and extensions of quantum mechanics | journal=[[Journal of Mathematical Physics]] | volume=60 | issue=1 | date=2019-01-01 | page=012104 | issn=0022-2488 | doi=10.1063/1.5048577| arxiv=1808.08863 | bibcode=2019JMP....60a2104B }}
* {{cite journal|last1=Carey|first1=R. W. | last2= Pincus | first2= J. D. |title= An Invariant for Certain Operator Algebras| journal=[[Proceedings of the National Academy of Sciences]] | volume=71|number=5|pages=1952–1956|date=May 1974|doi=10.1073/pnas.71.5.1952 |pmid=16592156 |pmc=388361 |bibcode=1974PNAS...71.1952C |doi-access=free }}
* {{cite journal | last1=Carey | first1=R. W. | last2=Pincus | first2= J. D. | title=The structure of intertwining isometries | journal=[[Indiana University Mathematics Journal]]| volume=7 | number=22|year=1973|pages=679–703|doi=10.1512/iumj.1973.22.22056| doi-access=free }}
* {{cite book | last=Griffel | first=D. H. | title=Applied functional analysis | publisher=Dover | location=Mineola, N.Y | year=2002 | isbn=0-486-42258-5 | oclc=49250076}} <!-- {{sfn | Griffel | 2002 | p=}} -->
* {{citation | last=Hall | first=B. C. | title=Quantum Theory for Mathematicians | publisher=Springer |series=Graduate Texts in Mathematics | volume=267 | year=2013 | bibcode=2013qtm..book.....H | isbn=978-1461471158}}
* {{citation | last=Kato | first=T. | author-link=Tosio Kato | title=Perturbation Theory for Linear Operators | publisher=Springer  | location=New York | year=1966 }}
* {{cite thesis |last=de la Madrid Modino |first= R. |date=2001 |title= Quantum mechanics in rigged Hilbert space language|url=https://scholar.google.com/scholar?oi=bibs&cluster=2442809273695897641&btnI=1&hl=en |degree=  PhD |publisher= Universidad de Valladolid}}
* {{citation | last=Moretti | first=V. | author-link=Valter Moretti | title=Spectral Theory and Quantum Mechanics:Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation | publisher=Springer-Verlag | year=2017 | bibcode=2017stqm.book.....M | isbn=978-3-319-70706-8 }}
* {{Narici Beckenstein Topological Vector Spaces|edition=2}} <!-- {{sfn | Narici | 2011 | p=}} -->
* {{cite book | last=Pedersen | first=Gert K. | title=Graduate Texts in Mathematics | chapter=Analysis Now | publisher=Springer New York | publication-place=New York, NY | year=1989 | volume=118 | isbn=978-1-4612-6981-6 | issn=0072-5285 | doi=10.1007/978-1-4612-1007-8 | doi-access=free}}
* {{cite book | last1=Reed | first1=M. | last2=Simon | first2=B. | title=Methods of Modern Mathematical Physics: Vol 1: Functional analysis | publisher=Academic Press | year=1980 | isbn=978-0-12-585050-6}}
* {{citation | last1=Reed | first1=M. | author-link=Michael C. Reed | last2=Simon | first2=B. | author-link2=Barry Simon  | title=Methods of Mathematical Physics: Vol 2: Fourier Analysis, Self-Adjointness | publisher=Academic Press | year=1972 }}
* {{cite book | last=Rudin | first=Walter | title=Functional Analysis | publisher=McGraw-Hill Science, Engineering & Mathematics | publication-place=Boston, Mass. | date=1991 | isbn=978-0-07-054236-5}}
* {{Schaefer Wolff Topological Vector Spaces|edition=2}} <!-- {{sfn | Schaefer | 1999 | p=}} -->
* {{cite journal | last=Ruelle | first=D. | title=A remark on bound states in potential-scattering theory | journal=Il Nuovo Cimento A | publisher=Springer Science and Business Media LLC | volume=61 | issue=4 | year=1969 | pages=655–662 | issn=0369-3546 | doi=10.1007/bf02819607 | bibcode=1969NCimA..61..655R | s2cid=56050354 | url=https://www.ihes.fr/%7Eruelle/PUBLICATIONS/%5B25%5D.pdf}}
* {{citation | last=Teschl | first=G. | author-link=Gerald Teschl | title=Mathematical Methods in Quantum Mechanics; With Applications to Schrödinger Operators | publisher=American Mathematical Society | location=Providence | year=2009 | url=https://www.mat.univie.ac.at/~gerald/ftp/book-schroe/ }}
* {{Trèves François Topological vector spaces, distributions and kernels}} <!-- {{sfn | Treves | 2006 | p=}} -->
* {{citation | last=Yosida | first=K. |author-link=Kōsaku Yosida | title=Functional Analysis | publisher=Academic Press | year=1965 }}


{{Functional analysis}}
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{{DEFAULTSORT:Self-Adjoint Operator}}
[[Category:Hilbert spaces]]
[[Category:Operator theory]]
[[Category:Linear operators]]