Solving Shrodinger Equation for Hawking Radiation

[Wishbone]

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?

 

[Igor_S]

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)

 

[denian]

Yes, it is possible to solve the Schrodinger equation for black holes using the concept of a deep finite well. This approach is known as the "toy model" of black holes and has been used by physicists to gain insights into the behavior of black holes, particularly in relation to Hawking radiation.

In this model, the black hole is treated as a deep potential well with a finite depth, representing the strong gravitational pull of the black hole. The equations used to describe the behavior of particles near the event horizon are similar to those used to describe particles in a finite well. By solving the Schrodinger equation for this system, we can gain a better understanding of the quantum effects that occur near the event horizon of a black hole.

However, it is important to note that this toy model is a simplified representation of a black hole and does not fully capture the complexities of the real-world phenomenon. It is a useful tool for theoretical studies, but it should not be taken as a complete description of black holes. Further research and observations are needed to fully understand the nature of black holes and their interactions with quantum mechanics.