Class IstatesConditionalSameAverage

java.lang.Object
com.polytechnik.utils.IstatesConditionalSameAverage

public class IstatesConditionalSameAverage extends Object
Find \( \left|\psi\right> \) state such that execution rate \[ \frac{\left<\psi|I| \psi\right>}{\left<\psi|\psi\right> } \xrightarrow[\psi]{\quad }\max \] is maximal, subject to constraints: \begin{align} 0&=\frac{\left<\psi|pI|\psi\right>}{\left<\psi|I|\psi\right>} -\, \frac{\left<\psi|pJ|\psi\right>}{\left<\psi|J|\psi\right>} \\ 1&=\left<\psi|\psi\right> \end{align} . As \( J \) typically time--averge is used, the constraint means time- and volume- averaged prices to be identical in \( \left|\psi\right> \) state: \( \frac{\left<\psi|pI|\psi\right>}{\left<\psi|I|\psi\right>} = \frac{\left<\psi|p|\psi\right>}{\left<\psi|\psi\right>} \).
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