## The restless harmonic oscillator |

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average value axis classical observation co,m plane CORNELL UNIVERSITY cube of rock curves in Fig dashed line decoupling discussion displacement distance drawn Earth effects are larger effects dominate equated equipartition of energy Evaluation fects fundamental limits Ganymede given graduate Gravimeter gravitational effects gravitational or tidal gravitational region GRAVITATIONAL TIDAL harmonic oscillator Hence I-beam Illb gives Jupiter labled in Fig large number lator lightly in Fig m,m plane man-made oscillators mechanical vibrations mede Michael Woodward Hane Molecular Vibrations monic oscillator Moon natural frequency orbit oscillator bob oscillator mass physics plotted in Fig potential energy precision quantum effects quantum-mechanical effects quency rad/sec radius random noise spectrum reducing the temperature region of classical result rms gr root mean square second excited shown in Fig slope zero spring constant Statistical Mechanics thermal effects thermodynamics tidal effects triple point wave function xgrav xrms,gr xrms,th zero point motion zero position