Linked from

The 14 pages that link to Hamiltonian (quantum mechanics), each with the reason it gives.

• Phase spaceRelated: Its derivatives determine how phase-space coordinates and momenta change with time.

• Quantum harmonic oscillatorRelated: The oscillator Hamiltonian combines kinetic energy with a quadratic potential.

• Ground stateRelated: Its lowest eigenvalue and corresponding eigenstate define the system’s ground state.

• Tight-binding modelRelated: Tight-binding parameters populate a Hamiltonian matrix whose eigenvalues are the bands.

• Wave mechanicsRelated: It appears in the Schrödinger equation and determines the system’s energy spectrum.

• Linear combination of atomic orbitalsRelated: Its matrix elements determine energies and orbital coefficients in LCAO calculations.

• Degenerate energy levelsRelated: Its eigenvalues are energy levels, and repeated eigenvalues signal degeneracy.

• Kramers' theoremRelated: Time-reversal invariance of this operator is a condition for the theorem.

• Lindblad equationRelated: Its commutator supplies the equation’s coherent evolution term.

• Atomic systemRelated: Encodes the interactions and energies that determine the system's states.

• Hellmann–Feynman theoremRelated: The theorem differentiates this operator with respect to an external parameter.

• Many-body techniquesRelated: Most many-body calculations begin by specifying the interacting system’s Hamiltonian.

• Quantum speed limit theoremsRelated: Its spectrum and time dependence constrain the system’s possible speed.