Frank Peters
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Hi there,

I was wondering what happens to the particle if there were no boundary conditions.

I’m doing some reading on it and there isn’t much help. Would it cause the wave function to be 0 and it would have infinite energy?
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0le
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Not sure what the context is here. From my point of view, if it was a simulation, the particle could exit the box domain. Without any interaction with any object (because there are no boundary conditions), I guess it keep moving depending on the initial conditions imparted on it.
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Mr Wednesday
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(Original post by Frank Peters)
Hi there,

I was wondering what happens to the particle if there were no boundary conditions.

I’m doing some reading on it and there isn’t much help. Would it cause the wave function to be 0 and it would have infinite energy?
QM definitly allows for finite energy particles "outside a box", think free photons, electrons etc. Have you come across the concept of a wave packet ? You don't need box walls to keep the energy finite if the particle itself has a probability density that falls off in space fast enough.
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Eimmanuel
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(Original post by Frank Peters)
Hi there,

I was wondering what happens to the particle if there were no boundary conditions.

I’m doing some reading on it and there isn’t much help. Would it cause the wave function to be 0 and it would have infinite energy?
A very brief answer.
First, you need to know why do we want to describe the situation of the confined particle in quantum mechanics.
Particle in a box is a simple problem to describe a quantum particle being confined in a potential.
The particle can be NOT in the box. The first case would be scattering problem while the second case would a free particle which is described by a plane wave and the wavefunction cannot be normalized but still have finite energy.
No particle can have infinite energy.
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