The discussion centers on the theoretical implications of a particle possessing infinite mass within an infinite potential well. Participants conclude that as mass approaches infinity, the wave function becomes increasingly narrow, suggesting a well-defined position. The analysis references the particle-in-a-box model, indicating that as mass tends to infinity, oscillatory behavior ceases, resulting in a non-oscillating state. Ultimately, this leads to nonsensical energy equations, where all energy levels yield zero energy.
PREREQUISITESStudents and researchers in quantum mechanics, physicists exploring theoretical models, and anyone interested in the implications of mass on wave functions and energy states.
I didn't run any number. I don't think an infinite mass is realistic. The best I can think of is to let the mass tends to infinity. When the mass is "big", you should fall over classical mechanics. That would mean that in the "infinite potential" the wavefunction is probably narrow (which means a somehow well defined position).trelek2 said:Hi, I'm wondering what will happen to the wave function of a particle when we take its mass to infinity.
Suppose the infinite particle is in an infinite potential well, how do we sketch the wave function?