Quantisierung als Eigenwertproblem

Schrödinger, E. (1926). Quantisierung als Eigenwertproblem. Annalen der Physik, 79, 361-376.

Type

Journal article

Intellectual base

Primary research

Year

1926

Volume

79

Pages

361-376

DOI

10.1002/andp.19263840404

DOI registrant

Wiley

Link

https://onlinelibrary.wiley.com/doi/10.1002/andp.19263840404

Cited from

physics

Cited by

5 citations across 5 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Discrete vs. Continuous (Quantization)
  • The distinction between the bound-state vs scattering-state distinction is foundational: bound states have discrete energy eigenvalues; scattering states form a continuum.

    This sourceFormulates quantization as an eigenvalue problem: solving the wave equation yields a discrete set of allowed energy eigenvalues for bound systems and a continuum for scattering states — directly supports the eigenvalue-spectrum / boundary-condition origin of discreteness, the bound-vs-scattering split, and the hydrogen energy levels.

• Superposition

  • This sourceDerives the Schrödinger wave equation as the fundamental equation of quantum mechanics; treats matter as probability amplitudes propagating via a wave equation; unifies de Broglie waves with quantum mechanics.

• Wave
  • Schrödinger's 1926 wave equation

    This sourceDerives the Schrödinger wave equation as the fundamental equation of quantum mechanics; treats matter as probability amplitudes propagating via a wave equation; unifies de Broglie waves with quantum mechanics.

• Wave-Particle Duality
  • The de Broglie wavelength λ = h/p (for photons, λ = hc/E) connects a quantum entity's momentum to its wave-like spatial extent. The wavefunction object — the quantum state vector |ψ⟩ — evolves unitarily between measurements according to the Schrödinger equation.

Domain-specific

• Schrödinger Equation
  • Schrödinger introduced the eigenvalue formulation in his 1926 papers and used it to recover atomic spectra.

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