Solving Shrodinger Equation for Hawking Radiation

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SUMMARY

The discussion centers on solving the Schrödinger equation in the context of black holes and Hawking radiation. Participants explore the concept of quantum tunneling and its relation to virtual particle pairs near the event horizon. It is established that Hawking radiation occurs when one particle of a pair is captured by the black hole while the other escapes, leading to observable radiation. This interpretation frames black holes as deep finite wells, providing a quantum mechanical perspective on their behavior.

PREREQUISITES
  • Understanding of the Schrödinger equation in quantum mechanics
  • Familiarity with black hole physics and event horizons
  • Knowledge of quantum tunneling and virtual particles
  • Basic concepts of particle-antiparticle pair production
NEXT STEPS
  • Research the implications of quantum tunneling in black hole physics
  • Study the derivation of Hawking radiation from the Schrödinger equation
  • Explore the role of virtual particles in quantum field theory
  • Investigate the mathematical modeling of black holes as finite potential wells
USEFUL FOR

Physicists, quantum mechanics students, and researchers interested in black hole thermodynamics and quantum field theory.

Wishbone
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I hear this is a result of quantum tunneling, what I am wondering is, can one solve the shrodinger equation for black holes under the idea that it is just a really really really deep finite well?
 
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Isn't Hawking radation a process in which a virtual particle (like virtual photon) traveling near the horizon creates particle-antiparticle pair, but before they get to annihilate, black hole pulls in one of them, and other one escapes ? (that creates some sort of a radiation)
 

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