Undergrad What is an Eigenstate? Simple Explanation

[anni]

TL;DR

what is eigenstate?

I found this:
Eigenstate: a quantum-mechanical state corresponding to an eigenvalue of a wave equation.

would you please some one explain simply?

Thanks

 

[DaveE]

Hard to explain without some knowledge of your background. Have you studied linear algebra much. Do you know about eigenvalues and eigenvectors in the math context? That's pretty much the same thing.

 

[PeroK]

Summary:: what is eigenstate?

I found this:
Eigenstate: a quantum-mechanical state corresponding to an eigenvalue of a wave equation.

would you please some one explain simply?

Thanks

Try this:

http://farside.ph.utexas.edu/teaching/qmech/Quantum/node40.html

 

[Gaussian97]

Given an operator, (for example, the Hamiltonian, or the Schrödinger Equation) an eigenstate is a (non-zero) state that, when applied on the operator, results of itself multiplied by some constant factor (that is known as the eigenvalue).

 

[anni]

Try this:

http://farside.ph.utexas.edu/teaching/qmech/Quantum/node40.html

thank you so much

 

[anni]

Given an operator, (for example, the Hamiltonian, or the Schrödinger Equation) an eigenstate is a (non-zero) state that, when applied on the operator, results of itself multiplied by some constant factor (that is known as the eigenvalue).

thank you so much