The DOI matches its Crossref record.
An Undulatory Theory of the Mechanics of Atoms and Molecules
Abstract
The paper gives an account of the author's work on a new form of quantum theory. \textsection{}1. The Hamiltonian analogy between mechanics and optics. \textsection{}2. The analogy is to be extended to include real "physical" or "undulatory" mechanics instead of mere geometrical mechanics. \textsection{}3. The significance of wave-length; macro-mechanical and micro-mechanical problems. \textsection{}4. The wave-equation and its application to the hydrogen atom. \textsection{}5. The intrinsic reason for the appearance of discrete characteristic frequencies. \textsection{}6. Other problems; intensity of emitted light. \textsection{}7. The wave-equation derived from a Hamiltonian variation-principle; generalization to an arbitrary conservative system. \textsection{}8. The wave-function physically means and determines a continuous distribution of electricity in space, the fluctuations of which determine the radiation by the laws of ordinary electrodynamics. \textsection{}9. Non-conservative systems. Theory of dispersion and scattering and of the "transitions" between the "stationary states." \textsection{}10. The question of relativity and the action of a magnetic field. Incompleteness of that part of the theory.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
No references could be resolved yet.
Research works printed but not linked: 26
- L. de Broglie, 1925, Ann. de Physique, 3, 22, 10.1051/anphys/192510030022 · DOI · Paper page
- E. Schrödinger, Ann. d. Physik, 79, 361
- E. Schrödinger, 1926, Ann. d. Physik, 81, 109, 10.1002/andp.19263861802 · DOI · Paper page
- E. Schrödinger, 1926, Die Naturwissenschaften, 14, 664, 10.1007/BF01507634 · DOI · Paper page
- F. Klein, 1891, Jahresber. d. Deutsch. Math. Ver., 1
- F. Klein, 1901, Zeits. f. Math. u. Phys., 46
- F. Klein, Ges. Abh., II, 601
- E. T. Whittaker, Atombau
- A. Sommerfeld, 1911, Ann. d. Physik, 35, 290
- R. Courant, 1924, Methoden der mathematischen Physik I, 10.1007/978-3-662-36445-1 · doi:10.1007/978-3-662-36445-1
- E. Fues, 1926, Ann. d. Physik, 80, 367, 10.1002/andp.19263851204 · doi:10.1002/andp.19263851204
- I. Stark, 1915, Ann. d. Physik, 48, 193, 10.1002/andp.19153531804 · doi:10.1002/andp.19153531804
- W. Heisenberg, 1925, Zeits. f. Physik, 33, 879, 10.1007/BF01328377 · DOI · Paper page
- M. Born, 1925, Zeits. f. Physik, 34, 858, 10.1007/BF01328531 · DOI · Paper page
- M. Born, 1926, Zeits. f. Physik, 35, 557, 10.1007/BF01379806 · DOI · Paper page
- M. Born, 1926, Zeits. f. Physik, 36, 174, 10.1007/BF01382261 · doi:10.1007/bf01382261
- W. Heisenberg, 1926, Zeits. f. Physik, 37, 263, 10.1007/BF01397100 · doi:10.1007/bf01397100
- W. Pauli, Jr., 1926, Zeits. f. Physik, 36, 336, 10.1007/BF01450175 · DOI · Paper page
- P. A. M. Dirac, 1925, Proc. Roy. Soc., 109, 642, 10.1098/rspa.1925.0150 · DOI · Paper page
- P. A. M. Dirac, 1925, Proc. Roy. Soc., 110, 561, 10.1098/rspa.1926.0034 · doi:10.1098/rspa.1926.0034
- P. A. M. Dirac, 1926, Proc. Roy. Soc., 111, 281, 10.1098/rspa.1926.0068 · doi:10.1098/rspa.1926.0068
- H. A. Kramers, 1924, Nature
- H. A. Kramers, 1925, Zeits. f. Physik, 31, 681, 10.1007/BF02980624 · DOI · Paper page
- V. Fock, 1926, Zeits. f. Physik, 38, 242, 10.1007/BF01399113 · DOI
- G. E. Uhlenbeck, 1925, Physica
- G. E. Uhlenbeck, 1926, Nature
Cited by
Commentary: The Materials Project: A materials genome approach to accelerating materials innovation
Jain, A., Ong, S. P., Hautier, G., Chen, W., Richards, W. D., Dacek, S., Cholia, S., Gunter, D., Skinner, D., Ceder, G., et al. (2013) · APL Materials · doi:10.1063/1.4812323 · Cited by 13,094
Basis Set Exchange: A Community Database for Computational Sciences
Schuchardt, K. L., Didier, B. T., Elsethagen, T., Sun, L., Gurumoorthi, V., Chase, J., Li, J., & Windus, T. L. (2007) · Journal of Chemical Information and Modeling · doi:10.1021/ci600510j · Cited by 3,163
Unke, O. T., Chmiela, S., Sauceda, H. E., Gastegger, M., Poltavsky, I., Schütt, K. T., Tkatchenko, A., & Müller, K.-R. (2021) · Chemical Reviews · doi:10.1021/acs.chemrev.0c01111 · Cited by 1,647
Applications of the Conceptual Density Functional Theory Indices to Organic Chemistry Reactivity
Domingo, L., Ríos-Gutiérrez, M., & Pérez, P. (2016) · Molecules · doi:10.3390/molecules21060748 · Cited by 1,304
From DFT to machine learning: recent approaches to materials science–a review
Schleder, G. R., Padilha, A. C. M., Acosta, C. M., Costa, M., & Fazzio, A. (2019) · Journal of Physics: Materials · doi:10.1088/2515-7639/ab084b · Cited by 852
Metadata
- Authors
- Schrödinger, E.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1926-12-01
- Volume
- 28
- Issue
- 6
- Pages
- 1049-1070
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2056474482
- Cited by
- 1,826
- References
- 0
- FWCI
- 1.57
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: An Undulatory Theory of the Mechanics of Atoms and Molecules. https://app.cochat.ai/papers/10.1103/physrev.28.1049
- The paper
- Schrödinger, E. (1926). An Undulatory Theory of the Mechanics of Atoms and Molecules. Physical Review. https://doi.org/10.1103/physrev.28.1049
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
