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...
A method of optimizing approximate wavefunctions for the expectation value of operators other than the energy and a statement of limits on the exact values from the stationary values would be a valuable addition to quantum mechanics. Two methods which appear to have the above properties in simple...
In other molecules, the energy eigenvalues increased as the quantum number increases for the three values of n considered but for CrH, at n=2 the energy decreases. In Table 2, we presented the numerical values of the momentum expectation value for the four molecules studied in this work. To...
Notice that we used the notation for expectation, which is E(). SinceXis a Bernoulli(p) random variable, the above formula also shows us how to compute theexpected value of a Bernoulli random variable. The expected value ofX~ Bernoulli(p) is simply, p. Of sample means, population means...
Concentration of measure for quantum states with a fixed expectation value . Commun. Math. Phys. 303 , 785–824 (2011).Markus P. Muller, David Gross, and Jens Eisert. Concentration of measure for quantum states with a fixed expectation value. Communications in Mathematical Physics, 303(3):...
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...