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We explore the quantum aspects of an elastic bar supported at both ends andsubject to compression. If strain rather than stress is held fixed, the systemremains stable beyond the buckling instability, supporting two potentialminima. The classical equilibrium transverse displacement is analogous to aGinsburg-Landau order parameter, with strain playing the role of temperature.We calculate the quantum fluctuations about the classical value as a functionof strain. Excitation energies and quantum fluctuation amplitudes are comparedfor silicon beams and carbon nanotubes.Comment: RevTeX4. 5 pages, 3 eps figures. Submitted to Physical Review Letter

Accessibility of quantum effects in mesomechanical systems