Linker IT Software
Google
Web www.oraxcel.com
menubar-top-links menubar-top-rechts
Home Help Search Login
Welcome, Guest. Please Login.
SQL*XL: Database to Excel bridge litLIB: Excel power functions pack ExcelLock: Locking and securing your valuable Excel spreadsheets encOffice: Protect your Excel file easy and safe encOffice: Protect your Excel file easy and safe
Pages: 1
Copenhagen interpretation of quantum mechanics (Read 2032 times)
Gerrit-Jan Linker
YaBB Administrator
*****




Posts: 75
Copenhagen interpretation of quantum mechanics
07.02.08 at 10:02:58
 
Copenhagen interpretation of quantum mechanics
 
What follows are some aspects of the Copenhagen interpretation of quantum mechanics with respect to making measurements in quantum physics.
 
When a system is in state |Ψ> and an observable A is measured the measurement result is one of the eigenvalues of A by solving the eigenvalue equation: A|Ψ>=an|Ψ>  
 
There are 2 possibilities:

  • |Ψ> is an eigenfunction of A.  
    The measurement will give an and the system will remain in that state.
  • |Ψ> is not an eigenfunction of A.
    The measurement will give one of the possible eigenvalues of A but it cannot be predicted which eigenvalue.
     
    An average measurement can be obtained by doing many measurements and averaging. It will be given by the expression:<A> = <Ψ|A|Ψ>
     
    The probablility of obtaining each eigenvalue can be obtained when we expand |Ψ> in the basis of the eigenvectors according to the superposition principle:ψ = Σncnψn
     
    <A>=<Σiciψi|A|Σjcjψk> = Σi |ci|2ai
    where |ci|2 = |<ψi|ψ>|2  
     
    After the measurement the state of the system ψ collapses to the eigenstate ψn when the outcome is an
Back to top
 
« Last Edit: 07.02.08 at 10:17:49 by Gerrit-Jan Linker »  

Gerrit-Jan Linker
Linker IT Software
Email WWW Gerrit-Jan Linker   IP Logged
Pages: 1