2. Wavefunctions
2. WavefunctionsCopyrightc 2015 2016, Daniel V. SchroederTo create a precise theory of the wave properties of particles and of measurementprobabilities, we introduce the concept of awavefunction: a function of space thatencodes the current state of a now, we ll assume that the system consists of a single particle living in aone-dimensional universe. (We ll generalize to more complicated systems in a fewweeks.) Then, if this were aclassicalparticle, the state of the system wouldconsist of just two numbers: its positionxand its momentumpx(or velocityvx,which you can easily calculate from the momentum).
c 2015{2016, Daniel V. Schroeder To create a precise theory of the wave properties of particles and of measurement probabilities, we introduce the concept of a wavefunction: a function of space that encodes the current state of a system. For now, we’ll assume that the \system" consists of a single particle living in a one-dimensional universe.
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