⨋

⨋

1. summation with integration
   • 2019, “The principles of modern thermodynamics”, in Sebastian Deffner, Steve Campbell, Quantum Thermodynamics: An Introduction to the Thermodynamics of Quantum Information (IOP Concise Physics), San Rafael, CA: Morgan & Claypool Publishers, →ISBN, page 1-29:

     The distribution of work values is then given by averaging over an ensemble of realizations of the same process,
     ${\displaystyle P(W)=\langle \delta (W-W[|m\rangle$ ;|n\rangle ])\rangle } , (1.101)
     which can be rewritten as
     ${\displaystyle P(W)=}$⨋m,n ${\displaystyle \delta (W-W[|m\rangle$ ;|n\rangle ])p(|m\rangle \rightarrow |n\rangle )} . (1.102)
     In the latter equation the symbol ⨋ denotes that we have to sum over the discrete part of the eigenvalue spectrum and integrate over the continuous part.