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By Robert H. Dicke, J. P. Wittke
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This is a clue to the proper physical interpretation of the nature of the wave : as suggested earlier, it is a wave which does not have the direct physical meaning that one associates, for example, with a sound wave. It is now possible to draw another important conclusion from the example of the motion of a wave packet. The classical description of a particle as an entity localized in space and moving on a definite space time trajectory is really an idealization of the motion of a wave packet.
3-30) is substituted into this equation, it becomes u= -iB2 exp (ikx) + lBt [exp ( -icS 1 ) - exp (icSt)] exp ( -ikx), x < -a. of the wave incident from the left is assumed to be unity, = i, giving Bt = exp (-icS1) and B 2 may be chosen B 2 (ikx) - i exp ( -icSt) sin cS 1 exp ( -ikx), = exp ( -icS 1) cos cS 1 exp (ikx), u = exp x. < x> -a, a. (3-35) From these expressions the amplitudes of the transmitted and reflected waves are given directly in terms of the "phase shift " eSt. The probability 46 SCHRODINGER ' S EQUATION (CHAP.
A) Compute a rough value for the highest sound frequency in the solid. (b) Compute the energy of the corresponding phonons, or quanta of vibrational energy. (c) What temperature is required to excite these oscillators appreciably? CHAPTER 2 WAVE MECHANICS 2-1 The wave-particle duality. As we have seen in the preceding chapter, particles seem to behave in certain situations as if they were waves, and vice versa. This paradox can be resolved only by making basic modifications in the conceptual pictures of waves and particles.