Mathematische Grundlagen der Quantenmechanik - SpringerLink
Das Buch ist nicht nur von historischem Interesse, sondern kann immer noch als elementare Einführung in die Grundbegriffe der Quantenmechanik mit Gewinn ...
Mathematische Grundlagen der Quantenmechanik \| SpringerLink

[Skip to main content](#main-content)

Advertisement

[![SpringerLink](/oscar-static/images/darwin/header/img/logo-springerlink-39ee2a28d8.svg)](https://link.springer.com)

[Log in](https://idp.springer.com/auth/personal/springernature?redirect_uri=https://link.springer.com/book/10.1007/978-3-642-61409-5)

[Menu](#eds-c-header-nav)

[Find a journal](https://link.springer.com/journals/) [Publish with us](https://www.springernature.com/gp/authors) [Track your research](https://link.springernature.com/home/)

[Search](#eds-c-header-popup-search)

[Cart](https://order.springer.com/public/cart)

1. [Home](/)
2. Book

[![](https://media.springernature.com/w90/springer-static/cover-hires/book/978-3-642-61409-5?as=webp)](/book/10.1007/978-3-642-61409-5/cover)

# Mathematische Grundlagen der Quantenmechanik

- Book
- © 1996

- Latest edition

## Overview

Authors:

- [John Neumann](#author-0-0)

1. John Neumann




[View author publications](/search?dc.creator=John+Neumann)





You can also search for this author in
[PubMed](http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=John+Neumann) [Google Scholar](http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22John+Neumann%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en)


- 8197 Accesses

- 43 [Citations](http://citations.springer.com/book?doi=10.1007/978-3-642-61409-5 "Visit Springer Citations for full citation details")

- 5
[Altmetric](https://link.altmetric.com/details/28839337 "Visit Altmetric for full social mention details")



This is a preview of subscription content, [log in via an institution](//wayf.springernature.com?redirect_uri=https%3A%2F%2Flink.springer.com%2Fbook%2F10.1007%2F978-3-642-61409-5) to check access.


## Access this book

[Log in via an institution](//wayf.springernature.com?redirect_uri=https%3A%2F%2Flink.springer.com%2Fbook%2F10.1007%2F978-3-642-61409-5)

## Subscribe and save

Springer+ Basic

$34.99 /Month


- Get 10 units per month
- Download Article/Chapter or eBook
- 1 Unit = 1 Article or 1 Chapter
- Cancel anytime

[Subscribe now](https://link.springer.com/product/springer-plus)

## Buy Now

eBook USD 59.99

Price excludes VAT (USA)

- Available as PDF
- Read on any device
- Instant download
- Own it forever

Buy eBook


Softcover Book USD 79.99

Price excludes VAT (USA)

- Compact, lightweight edition
- Dispatched in 3 to 5 business days
- Free shipping worldwide - [see info](https://support.springernature.com/en/support/solutions/articles/6000233448-coronavirus-disease-covid-19-delivery-information)

Buy Softcover Book


Hardcover Book USD 119.99

Price excludes VAT (USA)

- Durable hardcover edition
- Dispatched in 3 to 5 business days
- Free shipping worldwide - [see info](https://support.springernature.com/en/support/solutions/articles/6000233448-coronavirus-disease-covid-19-delivery-information)

Buy Hardcover Book


Tax calculation will be finalised at checkout

[Licence this eBook for your library](https://single-ebooks.springernature.com/search?query=10.1007%2F978-3-642-61409-5)

[Learn about institutional subscriptions](https://www.springernature.com/gp/librarians/licensing/agc/ebooks)

## Other ways to access

[Licence this eBook for your library](https://single-ebooks.springernature.com/search?query=10.1007/978-3-642-61409-5)

[Institutional subscriptions](https://www.springernature.com/gp/librarians/licensing/agc/ebooks)

## About this book

Es gibt einige Bücher, die die naturwissenschaftliche Welt verändert haben: John von Neumanns Buch über die Quantenmechanik gehört dazu! Mit dieser richtungweisenden Studie legte er den Grundstein für seine späteren, weltberühmten Arbeiten in den USA.

Das Buch ist nicht nur von historischem Interesse, sondern kann immer noch als elementare Einführung in die Grundbegriffe der Quantenmechanik mit Gewinn studiert werden. Seine besondere Stärke ist die Verbindung zwischen physikalischer Idee und mathematischer Exaktheit. Ein Gewinn für jeden Leser aus den Bereichen Mathematik und Physik - schon ab dem vierten Semester.


### Similar content being viewed by others

![](https://media.springernature.com/w92h120/springer-static/cover-hires/book/978-3-658-09990-9?as=webp)

### [Wie rechnen Quanten? Die neue Welt der Quantencomputer](https://link.springer.com/10.1007/978-3-658-09990-9_15?fromPaywallRec=true)

Chapter© 2016

![](https://media.springernature.com/w92h120/springer-static/cover-hires/book/978-3-642-41745-0?as=webp)

### [Quantenphysik](https://link.springer.com/10.1007/978-3-642-41745-0_15?fromPaywallRec=true)

Chapter© 2015

![](https://media.springernature.com/w92h120/springer-static/cover-hires/book/978-3-476-05728-0?as=webp)

### [Heisenberg, Werner: Physikalische Prinzipien der Quantentheorie](https://link.springer.com/10.1007/978-3-476-05728-0_10192-1?fromPaywallRec=true)

Chapter© 2020

## Keywords

- [Eigenwert](/search?query=Eigenwert&facet-discipline="Mathematics")
- [Eigenwertproblem](/search?query=Eigenwertproblem&facet-discipline="Mathematics")
- [Hilbertscher Raum](/search?query=Hilbertscher Raum&facet-discipline="Mathematics")
- [Quantenmechanik](/search?query=Quantenmechanik&facet-discipline="Mathematics")
- [Quantenstatistik](/search?query=Quantenstatistik&facet-discipline="Mathematics")

Search within this book

Search

## Table of contents (7 chapters)

1. ### Front Matter



Pages i-ix





[Download chapter PDF](/content/pdf/bfm:978-3-642-61409-5/1)

2. ### [Einleitung](/chapter/10.1007/978-3-642-61409-5_1)



- John von Neumann

Pages 1-3

3. ### [Einleitende Betrachtungen](/chapter/10.1007/978-3-642-61409-5_2)



- John von Neumann

Pages 4-18

4. ### [Allgemeines über den abstrakten Hilbertschen Raum](/chapter/10.1007/978-3-642-61409-5_3)



- John von Neumann

Pages 18-101

5. ### [Die quantenmechanische Statistik](/chapter/10.1007/978-3-642-61409-5_4)



- John von Neumann

Pages 101-157

6. ### [Deduktiver Aufbau der Theorie](/chapter/10.1007/978-3-642-61409-5_5)



- John von Neumann

Pages 157-184

7. ### [Allgemeine Betrachtungen](/chapter/10.1007/978-3-642-61409-5_6)



- John von Neumann

Pages 184-222

8. ### [Der Meßprozeß](/chapter/10.1007/978-3-642-61409-5_7)



- John von Neumann

Pages 222-237

9. ### Back Matter



Pages 238-262





[Download chapter PDF](/content/pdf/bbm:978-3-642-61409-5/1)


[Back to top](#back-to-top)

## Bibliographic Information

- Book Title: Mathematische Grundlagen der Quantenmechanik

- Authors: John Neumann

- DOI: https://doi.org/10.1007/978-3-642-61409-5

- Publisher: Springer Berlin, Heidelberg

- eBook Packages: [Springer Book Archive](https://metadata.springernature.com/metadata/books)

- Copyright Information: Springer-Verlag Berlin Heidelberg 1996

- Hardcover ISBN: 978-3-540-59207-5Published: 04 March 1996

- Softcover ISBN: 978-3-642-64828-1Published: 26 September 2011

- eBook ISBN: 978-3-642-61409-5Published: 11 March 2013

- Edition Number: 2

- Number of Pages: IX, 262

- Additional Information: Ursprünglich erschienen als Band 38 der Reihe: Grundlehren der Mathematischen Wissenschaften

- Topics: [Analysis](https://link.springer.com/search?facet-sub-discipline=Analysis&facet-content-type=Book), [Mathematical Methods in Physics](https://link.springer.com/search?facet-sub-discipline=Mathematical Methods in Physics&facet-content-type=Book), [Numerical and Computational Physics, Simulation](https://link.springer.com/search?facet-sub-discipline=Numerical and Computational Physics, Simulation&facet-content-type=Book), [Quantum Information Technology, Spintronics](https://link.springer.com/search?facet-sub-discipline=Quantum Information Technology, Spintronics&facet-content-type=Book), [Quantum Physics](https://link.springer.com/search?facet-sub-discipline=Quantum Physics&facet-content-type=Book)


## Publish with us

[Policies and ethics](https://www.springernature.com/gp/policies/book-publishing-policies)

[Back to top](#back-to-top)

## Access this book

[Log in via an institution](//wayf.springernature.com?redirect_uri=https%3A%2F%2Flink.springer.com%2Fbook%2F10.1007%2F978-3-642-61409-5)

## Subscribe and save

Springer+ Basic

$34.99 /Month


- Get 10 units per month
- Download Article/Chapter or eBook
- 1 Unit = 1 Article or 1 Chapter
- Cancel anytime

[Subscribe now](https://link.springer.com/product/springer-plus)

## Buy Now

eBook USD 59.99

Price excludes VAT (USA)

- Available as PDF
- Read on any device
- Instant download
- Own it forever

Buy eBook


Softcover Book USD 79.99

Price excludes VAT (USA)

- Compact, lightweight edition
- Dispatched in 3 to 5 business days
- Free shipping worldwide - [see info](https://support.springernature.com/en/support/solutions/articles/6000233448-coronavirus-disease-covid-19-delivery-information)

Buy Softcover Book


Hardcover Book USD 119.99

Price excludes VAT (USA)

- Durable hardcover edition
- Dispatched in 3 to 5 business days
- Free shipping worldwide - [see info](https://support.springernature.com/en/support/solutions/articles/6000233448-coronavirus-disease-covid-19-delivery-information)

Buy Hardcover Book


Tax calculation will be finalised at checkout

[Licence this eBook for your library](https://single-ebooks.springernature.com/search?query=10.1007%2F978-3-642-61409-5)

[Learn about institutional subscriptions](https://www.springernature.com/gp/librarians/licensing/agc/ebooks)

## Other ways to access

[Licence this eBook for your library](https://single-ebooks.springernature.com/search?query=10.1007/978-3-642-61409-5)

[Institutional subscriptions](https://www.springernature.com/gp/librarians/licensing/agc/ebooks)

## Search

Search by keyword or author

Search

## Navigation

- [Find a journal](https://link.springer.com/journals/)
- [Publish with us](https://www.springernature.com/gp/authors)
- [Track your research](https://link.springernature.com/home/)

### Discover content

- [Journals A-Z](https://link.springer.com/journals/a/1)
- [Books A-Z](https://link.springer.com/books/a/1)

### Publish with us

- [Publish your research](https://www.springernature.com/gp/authors)
- [Open access publishing](https://www.springernature.com/gp/open-research/about/the-fundamentals-of-open-access-and-open-research)

### Products and services

- [Our products](https://www.springernature.com/gp/products)
- [Librarians](https://www.springernature.com/gp/librarians)
- [Societies](https://www.springernature.com/gp/societies)
- [Partners and advertisers](https://www.springernature.com/gp/partners)

### Our imprints

- [Springer](https://www.springer.com/)
- [Nature Portfolio](https://www.nature.com/)
- [BMC](https://www.biomedcentral.com/)
- [Palgrave Macmillan](https://www.palgrave.com/)
- [Apress](https://www.apress.com/)

- Your privacy choices/Manage cookies
- [Your US state privacy rights](https://www.springernature.com/gp/legal/ccpa)
- [Accessibility statement](https://www.springernature.com/gp/info/accessibility)
- [Terms and conditions](https://link.springer.com/termsandconditions)
- [Privacy policy](https://link.springer.com/privacystatement)
- [Help and support](https://support.springernature.com/en/support/home)
- [Cancel contracts here](https://support.springernature.com/en/support/solutions/articles/6000255911-subscription-cancellations)

209.127.107.179

Not affiliated

[![Springer Nature](/oscar-static/images/logo-springernature-white-19dd4ba190.svg)](https://www.springernature.com/)

© 2024 Springer Nature