On the general formula for obtaining expectation values from the hypercharacteristic functionn76000* --physics (theoreticalexpectation valuefunctionsquantum mechanics quantum mechanics/expectation values from hypercharacteristic function inThe mathematical intelligencer encourages comments about the material in this...
The expectation value of an operator in quantum mechanics is the expected value of the operator, and can be considered to be a type of average value of the operator. It is not necessarily the most probable value. For example, in the case of a particle in a 1-D box. The ...
Eisert. Concentration of measure for quantum states with a fixed expectation value. Commun. Math. Phys., 303(3):785-824, 2006. arXiv:1003.4982.M. Mueller, D. Gross, and J. Eisert. Concentration of measure for quantum states with a fixed expectation value. arXiv:1003.4982v2, 2010....
Quantum mechanics15A4215A45A lower bound formula for the ground-state expectation value of a non-negative operator using an approximating trial function is generalized and presented as a matrix-eigenvalue problem which reverts to the original formula in the scalar case. The lower bound is applied...