Quantisierung als Eigenwertproblem (Dritte Mitteilung).¶
Schrödinger, E. (1926). Quantisierung als Eigenwertproblem (Dritte Mitteilung). Annalen der Physik, 80(5), 437-490.
Cited by¶
3 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Correspondence Principle
- A correspondence principle applied too rigidly (as "no new physics where the old theory worked") would have vetoed such predictions.
This sourceDevelops the Rayleigh-Schrödinger perturbation method for quantum mechanics; derives first-order corrections to energy and wavefunctions using unperturbed eigenstates and matrix elements.
- This subtlety is crucial: correspondence is about empirical validation, not about philosophical completeness.
This sourceDevelops Rayleigh–Schrödinger perturbation theory in wave mechanics. NON-SUPPORTING for the T3 claim it is cited on (that overly rigid correspondence would have vetoed new phenomena such as macroscopic tunneling and gravitational waves); the paper is about perturbative eigenvalue corrections, not the conservative-bias critique of the correspondence principle.
- A correspondence principle applied too rigidly (as "no new physics where the old theory worked") would have vetoed such predictions.
- Perturbation Theory
- Experimentally measured to fractional accuracy < 10⁻⁶ in Rydberg-series studies, the theoretical value is the second-order perturbation calculation, with higher-order corrections negligible for field strengths below ~10⁹ V/m (where tunneling ionization takes over — a non-perturbative breakdown).
This sourceDevelops the Rayleigh-Schrödinger perturbation method for quantum mechanics; derives first-order corrections to energy and wavefunctions using unperturbed eigenstates and matrix elements.
- Experimentally measured to fractional accuracy < 10⁻⁶ in Rydberg-series studies, the theoretical value is the second-order perturbation calculation, with higher-order corrections negligible for field strengths below ~10⁹ V/m (where tunneling ionization takes over — a non-perturbative breakdown).
Verification¶
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Registry ID ref:666fe72bf151 · see in the full table