Jump to content
Main menu
Main menu
move to sidebar
hide
Navigation
Main page
Recent changes
Random page
Help about MediaWiki
Special pages
Niidae Wiki
Search
Search
Appearance
Create account
Log in
Personal tools
Create account
Log in
Pages for logged out editors
learn more
Contributions
Talk
Editing
Schrödinger equation
(section)
Page
Discussion
English
Read
Edit
View history
Tools
Tools
move to sidebar
hide
Actions
Read
Edit
View history
General
What links here
Related changes
Page information
Appearance
move to sidebar
hide
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
=== Fock space === As originally formulated, the Dirac equation is an equation for a single quantum particle, just like the single-particle Schrödinger equation with wave function {{nowrap|<math>\Psi(x,t)</math>.}} This is of limited use in relativistic quantum mechanics, where particle number is not fixed. Heuristically, this complication can be motivated by noting that mass–energy equivalence implies material particles can be created from energy. A common way to address this in QFT is to introduce a Hilbert space where the basis states are labeled by particle number, a so-called [[Fock space]]. The Schrödinger equation can then be formulated for quantum states on this Hilbert space.<ref name="Coleman">{{Cite book|editor-last1=Derbes |editor-first1=David |title=Lectures Of Sidney Coleman On Quantum Field Theory |editor-last2=Ting |editor-first2=Yuan-sen |editor-last3=Chen |editor-first3=Bryan Gin-ge |editor-last4=Sohn |editor-first4=Richard |editor-last5=Griffiths |editor-first5=David |editor-last6=Hill |editor-first6=Brian |date=2018-11-08 |publisher=World Scientific Publishing |isbn=978-9-814-63253-9 |oclc=1057736838 |language=en |first=Sidney |last=Coleman |author-link=Sidney Coleman}}</ref> However, because the Schrödinger equation picks out a preferred time axis, the Lorentz invariance of the theory is no longer manifest, and accordingly, the theory is often formulated in other ways.<ref>{{Cite book|last=Srednicki|first=Mark Allen|url=https://www.worldcat.org/oclc/71808151|title=Quantum Field Theory|publisher=Cambridge University Press|year=2012|isbn=978-0-521-86449-7|location=Cambridge|oclc=71808151}}</ref>
Summary:
Please note that all contributions to Niidae Wiki may be edited, altered, or removed by other contributors. If you do not want your writing to be edited mercilessly, then do not submit it here.
You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource (see
Encyclopedia:Copyrights
for details).
Do not submit copyrighted work without permission!
Cancel
Editing help
(opens in new window)
Search
Search
Editing
Schrödinger equation
(section)
Add topic