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Sobhan
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i don't understand why wave is a function of both time and distance and i think one is enough.can some one explain that to me?
Sobhan said:i don't understand why wave is a function of both time and distance and i think one is enough.can some one explain that to me?
You solve time-dependent Schroedinger equation to get eigenfunctions, so, eigenfunctions is a function of space and time. Arbitrary wavefunction may be constructed from those time and space dependent eigenfunctions, so, arbitrary wavefunction must also be a function of space and time. Conclusion is, it is all caused by the Schroedinger equation.Sobhan said:i don't understand why wave is a function of both time and distance and i think one is enough.can some one explain that to me?
These two or more variables (at most 4) must include time.Windadct said:Well it does not need to be TIME, but it does need to be 2 (or more) variables.
You must be confusing "oscillation" and "wave".Windadct said:I am reading this as a much simpler question, a wave is a pattern, and can occur in two (non time) dimensions. y=sin(x)
Windadct said:Well it does not need to be TIME, but it does need to be 2 (or more) variables.
Sobhan said:What I have been told is not to imagine it as a snake moving and consider it as repeating snapshots.i don't understand what can the length of the snapshot.
Sobhan said:My question is that the length of this snapshot is 1 or 2 or ...
Sobhan said:I know it can be a function of location or time but I can not get it been function of location and time together.
The wave function is a mathematical representation of the probability of finding a particle at a certain position in space and time. It is used in quantum mechanics to describe the behavior of particles at the microscopic level.
The wave function is governed by the Schrödinger equation, which describes how it evolves over time. This equation takes into account the potential energy of the particle and any external forces acting on it.
The wave function is a function of both time and space, meaning that it describes the probability of finding a particle at a specific position in space at a specific time. As the particle moves through space, the wave function changes accordingly.
The wave function can be confusing because it is a mathematical concept that does not have a direct physical interpretation. It is a tool used to make predictions about the behavior of particles, but it does not have a tangible physical meaning.
The uncertainty principle states that it is impossible to know both the exact position and momentum of a particle simultaneously. The wave function is related to this principle because it describes the probability of finding a particle at a certain position, but it cannot predict the exact position of the particle due to the inherent uncertainty in quantum mechanics.