Modal Resapan Zarah Schroedinger Pengayun Harmonik Ringkas

It is shown that for an arbitrary simple harmonic oscillator, the square of the modulus of the corresponding Schroedinger s wave function which is initially a normal distribution, is a normal distribution with variable mean and variance. Furthermore, the square of the modulus of the wave function satisfies a diffusion equation with a variable drift coefficient which depends on the derivative of the phase of the wave function, and a source which depends not only on the classical potential of the oscillator but also on the first and second derivatives of the phase of the wave function. The modulus of the wave function also satisfies a diffusion equation with the same diffusion and drift coefficients, but a different source. A similar result holds in terms of the corresponding phase of the harmonic ascilatorwith an arbitrary square integrable function as the initial condition. This gives a new light on the nature of the the probability interpretation of the modulus square of the wavefimction which is now directly related to a killing stochastic process X the killing X such that dX = adt + b dB, where a is a known drift coefficient, b212 is a known diffusion coefficient, and B is the standard Wiener process.