Numerical Shadow

The web resource on numerical range and numerical shadow

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numerical-shadow:generalizations:restricted-numerical-shadow

Restricted numerical shadow

Introduction

Combining the ideas of the restricted numerical range with the numerical shadow one is led in a natural way to the definition of a restricted numerical shadow, $$ P^R_A(z) \ := \ \int_{R} {\rm d} \mu(\psi) \ \delta\Bigl( z-\langle \psi|A|\psi\rangle\Bigr) \ , $$ where $ R$ is a selected subset of ${\Omega}_N$, the set of size $N$ pure quantum states.

Examples

For a full list of examples of restricted numerical shadows, go here: examples

Interesting shadows

numerical-shadow/generalizations/restricted-numerical-shadow.txt · Last modified: 2013/04/17 14:32 by lpawela