Hamiltonian eigenvalue

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• Eigenvalue, eigenvector and eigenspace — In mathematics, given a linear transformation, an Audio|De eigenvector.ogg|eigenvector of that linear transformation is a nonzero vector which, when that transformation is applied to it, changes in length, but not direction. For each eigenvector… …   Wikipedia

• Hamiltonian (quantum mechanics) — In quantum mechanics, the Hamiltonian H is the observable corresponding to the total energy of the system. As with all observables, the spectrum of the Hamiltonian is the set of possible outcomes when one measures the total energy of a system.… …   Wikipedia

• Hamiltonian lattice gauge theory — In physics, Hamiltonian lattice gauge theory is a calculational approach to gauge theory and a special case of lattice gauge theory in which the space is discretized but time is not. The Hamiltonian is then re expressed as a function of degrees… …   Wikipedia

• eigenvalue — /uy geuhn val yooh/, n. Math. See characteristic root. [1925 30; partial trans. of G Eigenwert, equiv. to eigen characteristic, particular + Wert VALUE] * * * In mathematical analysis, one of a set of discrete values of a parameter, k, in an… …   Universalium

• Molecular Hamiltonian — In atomic, molecular, and optical physics as well as in quantum chemistry, molecular Hamiltonian is the name given to the Hamiltonian representing the energy of the electrons and nuclei in a molecule. This Hermitian operator and the associated… …   Wikipedia

• Hellmann–Feynman theorem — The Hellmann–Feynman theorem states that once the spatial distribution of the charged particles (usually the electron clouds) has been determined by solving the Schrödinger equation, all the forces in the system can be calculated using classical… …   Wikipedia

• Matrix mechanics — Quantum mechanics Uncertainty principle …   Wikipedia

• Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… …   Wikipedia

• Calculus of variations — is a field of mathematics that deals with extremizing functionals, as opposed to ordinary calculus which deals with functions. A functional is usually a mapping from a set of functions to the real numbers. Functionals are often formed as definite …   Wikipedia

• Quantum number — Quantum numbers describe values of conserved numbers in the dynamics of the quantum system. They often describe specifically the energies of electrons in atoms, but other possibilities include angular momentum, spin etc.Since any quantum system… …   Wikipedia

• Rigid rotor — The rigid rotor is a mechanical model that is used to explain rotating systems. An arbitrary rigid rotor is a 3 dimensional rigid object, such as a top. To orient such an object in space three angles are required. A special rigid rotor is the… …   Wikipedia