Finding the ground state energy of a particle

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SUMMARY

The discussion centers on calculating the ground state energy of a particle influenced by a potential defined as U(x) = g*lnx for x > 1 and U(x) = ∞ for x = 1. Participants clarify that the time-independent Schrödinger equation must be utilized, despite initial confusion regarding its necessity. The boundary condition ψ(x=1) = 0 is emphasized as crucial for solving for the energy E. The conversation highlights the importance of understanding boundary conditions in quantum mechanics.

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  • Understanding of quantum mechanics principles
  • Familiarity with the time-independent Schrödinger equation
  • Knowledge of potential energy functions in quantum systems
  • Concept of boundary conditions in wave functions
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For a particle with a force acting on it whose potential is given by U(x) = g*lnx for x>1 and U(x) = ∞ for x = 1, how do I calculate the ground state energy of the particle?

Supposedly, there is no need to use Schrödinger's equations for this question, which is why I have no idea how to start.

Thanks for any help.
 
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You should use the Schrödinger equation; which other ansatz do you have in mind?
 
Alright, it must be a mistake then. We were given this question before learning the Schrödinger equation so it was impossible.

Edit: would I just use boundary conditions to solve for E in the time independent Schrödinger equation?
 
The boundary condition is ψ(x=1) = 0
 

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