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, , (1.101) which can be rewritten as ⨋m,n. (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.
![{\displaystyle P(W)=\langle \delta (W-W[|m\rangle ;|n\rangle ])\rangle }](https://wikimedia.org/api/rest_v1/media/math/render/svg/60dac91cf73a8646a94b34c3f68fa657fa86f820)
![{\displaystyle \delta (W-W[|m\rangle ;|n\rangle ])p(|m\rangle \rightarrow |n\rangle )}](https://wikimedia.org/api/rest_v1/media/math/render/svg/cd3b6153fbb5591a716e29ad357195fc2d56f270)