- #1
Given a Hamiltonian, find eigenvalues and eigenvector
- Thread starter mudyos
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In summary, The forum requires users to post their questions and progress in order to receive help. Failure to do so will result in no assistance being provided. The forum also has rules that must be followed, including reading them before posting. Some questions that may help with understanding include what a matrix representation of an operator is, what is an hermitian operator and matrix, what is an eigenvector and eigenvalue, what is a commutator, and what is a projector. Additionally, users should not expect others to download attached files and must follow the rules and show their own work.
- #2
malawi_glenn
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what have you done and though so far? If you don't tell us and show us, you'll get no help-
- #3
malawi_glenn
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mudyos: This forum works as this: You post question and work and thougts done. If not, then no one will help you. The RULES of this forum is those, didn't you read the rules before posting here?
I give you some questions for you to answer, then maybe you can do something.
What is a matrix representation of an operator?
What is an hermitian operator and matrix?
What is an eigenvector and eigenvalue?
What is a commutator?
What is a projector?
I give you some questions for you to answer, then maybe you can do something.
What is a matrix representation of an operator?
What is an hermitian operator and matrix?
What is an eigenvector and eigenvalue?
What is a commutator?
What is a projector?
- #4
christianjb
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I'm not about to download a .doc file.
- #5
- #6
malawi_glenn
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It doesn't matter christianjb and mudyos. Follow the rules and show work.
mudyos: why can't you answer my questions?
mudyos: why can't you answer my questions?
Related to Given a Hamiltonian, find eigenvalues and eigenvector
1. What is a Hamiltonian in quantum mechanics?
The Hamiltonian is a mathematical operator used in quantum mechanics to represent the total energy of a system. It takes into account the kinetic and potential energies of all particles in the system.
2. What are eigenvalues and eigenvectors?
Eigenvalues and eigenvectors are mathematical concepts used to describe the behavior of physical systems. Eigenvalues represent the possible values of a physical property, while eigenvectors represent the corresponding states or configurations of the system.
3. How do you find eigenvalues and eigenvectors?
To find eigenvalues and eigenvectors, you need to solve the eigenvalue equation: HΨ = EΨ, where H is the Hamiltonian operator, Ψ is the eigenvector, and E is the eigenvalue. This can be done through various mathematical methods, such as diagonalization or the use of matrix operations.
4. Why is it important to find eigenvalues and eigenvectors?
Finding eigenvalues and eigenvectors is important in quantum mechanics as it allows us to understand the behavior and properties of physical systems. It also helps in solving complex mathematical equations and making predictions about the behavior of particles in a system.
5. Can all Hamiltonians be solved to find eigenvalues and eigenvectors?
No, not all Hamiltonians can be solved analytically to find eigenvalues and eigenvectors. In some cases, numerical methods or approximations are used to find solutions. Additionally, some Hamiltonians may have infinitely many eigenvalues and eigenvectors, making it impossible to find all of them.
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