Revision #653 → #1551 · back to history
addedSchrödinger equation44ec31f340b4
addedPosition-space Schrödinger equation (1D)239d23037c56
addedWave function86b752c6244a
addedQuantum state as Hilbert space vectorf8ca4819c22d
addedObservable1965a9238c36
addedEigenstate6f498ab89c9d
addedQuantum superposition717dba40a481
addedBorn ruleff41bee794b5
addedGeneralized eigenvectors20bce3da2477
addedTime-dependent Schrödinger equation194dc91a0e74
addedProbability density function546f0e02f31a
addedStationary statesf95aa377358c
addedTime-independent Schrödinger equation98d845c96bf1
addedWave function as eigenfunction of Hamiltonianb1f8d1fb6709
addedLinearity of the Schrödinger equation35cdd5f4e20c
addedUnitarity of the time-evolution operator37cde2c564bf
addedGenerator is Hermitiancdbec2485651
addedPosition- and momentum-space Schrödinger equationsd24eb8011224
addedCanonical commutation relation0ec07b5f8fb4
addedBloch's theoremf9f048234a89
addedLocal probability conservation34ba2c6127c0
addedContinuity equation for probabilityf6f389dfd18d
addedProbability flux from phaseae0380d6cf0b
addedSeparation of variables ansatz7cc7e868b25d
addedStationary solutionaa4b9d9ed5b1
addedSpatial part equationad0e9cc6e583
addedEnergy eigenstates form a basis (spectral theorem)5dae15c07b83
addedParticle in a box4762d9c2f25b
addedGeneral solutions for particle in a box86632b68ee5a
addedQuantization of energy levels in a box3368eea2200a
addedFinite potential well4bc8dc82b3e8
addedRectangular potential barrier4c7f7aa57dcf
addedHarmonic oscillator equationc62cd91d52fa
addedHarmonic oscillator solutions (Hermite polynomials)b5861201ea38
addedHarmonic oscillator eigenvalues3674d8c04743
addedGround state and zero-point energyff8f870f0906
addedDiscretization of bound eigenstate energies570778372f46
addedHydrogen atom equationb8361a510e88
addedHydrogen atom solved by separation of variables3fb8ce158e5f
addedHydrogen the only exactly-solved atom0070f56e6199
addedEhrenfest theorem1a8b2804f2fa
addedRelation to Hamilton–Jacobi equation2390533903f5
addedClassical limit yields Hamilton–Jacobi equationfb56e5d65dde
addedDensity matrix77bc2065a839
addedVon Neumann equation648e4ad4d66f
addedUnitary evolution conserves von Neumann entropyf9e34afcac50
addedGalilean transformation gives a phase factor9e29f23421d5
addedKlein–Gordon equation4d7fb99e4928
addedDirac equation (free space)7f3437670eab
addedDirac Hamiltonian in an electromagnetic field4b7ff35279b4
addedDirac equation solutions are 4-component spinors62ec29d21a37
addedRelativistic spin-s spinor field solutions3f926ad05bb0
addedFock spaced76d91131f48
addedde Broglie relationc3cf26647816
addedBohr quantization of angular momentumb8d027873f00
addedStanding wave condition on the orbitc5f93efcd775
addedSchrödinger's original equation97c7b90d5a8e
addedKlein–Gordon equation in a Coulomb potential6a847d50f156
addedProbability amplitude (Born interpretation)01cb915bafbc