ABSTRACT

In describing the macroscopic properties of a piece

of material, we are concerned with quantities such as total

mass, total energy, total magnetic moment, and other

totals of the constituent’s partic les. For homogeneous

materials, it is convenient to divide these quantities by the

volume V of the m ateria l to obtain the mass density, the

energy density, the magnetization, etc. , which we shall

subsequently re fer to as mechanical var iab les . There are

other examples of important mechanical variables which

are less familiar and not so easily defined or visualized as

those just mentioned. Some important examples are quan-

tum amplitudes of Bose fluids, staggered magnetization of

antiferromagnets, Four ier components of atom density in

a crystal, etc.