Density Operator and Quantum States

  • Maurice A. de Gosson
Part of the Pseudo-Differential Operators book series (PDO, volume 7)


At first sight the notion of density operator (or density matrix, as it is called in physics) should not lead to any particular difficulty: mathematically, a density operator is just a positive trace class operator with trace equal to one. It turns out that, perhaps somewhat unexpectedly, it is the positivity property which is the most delicate to establish.


Quantum State Pure State Density Operator Uncertainty Principle Trace Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Faculty of Mathematics, NuHAGUniversity of ViennaViennaAustria

Personalised recommendations