  Generalisations of the virial theorm in Classical Mechanics and Quantum
Mechanics are examined. It is shown that the generalised virial theorem in
Quantum Mechanics leads to certain relations between matrix elements. The
differences between the generalisations in Classical and Quantum Mechanics are
identified. Some results arising from the radial Schr\"odinger equation in
Quantum Mechanics are discussed. It is also shown that the generalisations of
the virial theorem may be extended to arbitrary number of dimensions.
