Quick question about integrating limits in QM problems

In summary, the integration bounds for general QM problems can be considered to always be from minus infinity to plus infinity, but in cases where an infinite potential exists, the wave function is zero and the integral is effectively over the finite region where the potential is finite.
  • #1
rwooduk
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Am I correct in assuming that if there is a potential present and it is not infinite then integrals will always be made from minus infinity to infinity, but where an infinite potential exists then the integral will depend on the size of the confinement area?

Sorry to be a little disambiguous, it's for no particluar question, just trying to clarify the limits of integration for general QM problems.

Thanks for any thoughts.
 
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  • #2
Technically you could consider the integration bounds to always be from minus infinity to plus infinity, but that the wave function is zero where the potential is infinite and thus it is equivalent to an integral over the region where the potential is finite.
 
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  • #3
Orodruin said:
Technically you could consider the integration bounds to always be from minus infinity to plus infinity, but that the wave function is zero where the potential is infinite and thus it is equivalent to an integral over the region where the potential is finite.

I like this! Thanks very much for the reply!
 

Related to Quick question about integrating limits in QM problems

1. What is the purpose of integrating limits in quantum mechanics problems?

Integrating limits allows us to calculate the probability of finding a particle in a specific energy state or position. It also helps us to determine the total energy of a system and make predictions about its behavior.

2. How do I determine the appropriate limits for integration in a quantum mechanics problem?

The limits of integration are typically determined by the physical boundaries of the system being studied. For example, if we are looking at the energy of a particle confined to a box, the limits would be the minimum and maximum values of the particle's energy within the box.

3. Can the limits of integration be negative in quantum mechanics problems?

Yes, the limits of integration can be negative in quantum mechanics problems. This is because quantum mechanics allows for the possibility of negative energy states and positions.

4. How do I interpret the result of an integration in a quantum mechanics problem?

The result of an integration in a quantum mechanics problem represents the probability of finding the particle in a specific energy state or position. It is a decimal value between 0 and 1, where 0 represents no probability and 1 represents certainty.

5. Are there any shortcuts or tricks for integrating limits in quantum mechanics problems?

Unfortunately, there are no shortcuts or tricks for integrating limits in quantum mechanics problems. It requires a solid understanding of the principles and equations involved, as well as practice and careful consideration of the physical system being studied.

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