Typically applied to conjugate observables such as position and momentum, for ten points, identify this quantum-mechanical principle which places a limit on the simultaneous accuracy with which two quantities can be measured.
One way of obtaining this relation is to consider the energy limitations on the adiabatic approximation in time-dependent perturbation theory. It can be deduced as a consequence of the Cauchy-Schwartz inequality, and the lifetime of virtual particles of a given energy is limited by this relation. Operators subject to it include the x, y, and z components of the angular momentum, and the quantities which enter into this relation are typically given as the square root of the quantity average of the square minus the average squared. Typically applied to conjugate observables such as position and momentum, for ten points, identify this quantum-mechanical principle which places a limit on the simultaneous accuracy with which two quantities can be measured.
One way of obtaining this relation is to consider the energy limitations on the adiabatic approximation in time-dependent perturbation theory.
Heisenberg {Uncertainty} Principle