Solving the Schrodinger Equation for the Harmonic Oscillator in Momentum Space

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SUMMARY

The discussion focuses on formulating and solving the Schrödinger equation for the harmonic oscillator in momentum space. Participants emphasize the importance of transforming the position-based equation into momentum space using Fourier transforms. The key steps include applying the momentum representation of the wave function and utilizing the appropriate boundary conditions. The conversation highlights the necessity of understanding quantum mechanics principles and mathematical techniques involved in this transformation.

PREREQUISITES
  • Quantum mechanics fundamentals
  • Fourier transforms in physics
  • Schrödinger equation formulation
  • Harmonic oscillator model in quantum mechanics
NEXT STEPS
  • Study the Fourier transform techniques in quantum mechanics
  • Explore the mathematical derivation of the Schrödinger equation
  • Investigate the properties of the harmonic oscillator in momentum space
  • Learn about boundary conditions in quantum systems
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Students and researchers in quantum mechanics, physicists working on wave functions, and anyone interested in advanced mathematical physics applications.

Rita1980
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How can I write the Schrödinger equation for the harm. oscillator in momentum space and then solve it?
Thank you, in advance:)
 
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This looks like a HW problem. What have you attempted with this question?
 

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