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Group Theory and the Hydrogen Atom (II)
Open accessAbstract
A previous work dealing with bound states in a Coulomb potential is extended to the case of scattering states. The symmetry of the problem under the Lorentz group 0(1,3) is used to construct wave functions. Harmonic analysis on two-sheeted hyperboloids is briefly discussed in arbitrary dimension. The set of scattering states for both an attractive and a repulsive potential is shown to provide a unitary representation of the group 0(1, 4).
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Measures that grant greater weight according to larger inflationary expansion factors suffer from the Q-catastrophe and G-catastrophe, predicting the amplitude of primordial density perturbations and the gravitational constant to be in stark conflict with observations.
“In particular, measures that grant greater weight according to larger inflationary expansion factors suffer from the”
From Observable effects of anisotropic bubble nucleation (2010) · cites this paper as [60]
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Research works printed but not linked: 7
- M. Bander, 1966, Rev. Mod. Phys., 38, 330, 10.1103/RevModPhys.38.330 · DOI
- A. Z. Dolginov, 1956, Zh. Eksperim. i Teor. Fiz., 30, 746
- A. Z. Dolginov, 1959, Zh. Eksperim. i Teor. Fiz., 37, 1441
- A. Z. Dolginov, 1959, Zh. Eksperim. i Teor. Fiz., 37, 1967
- M. A. Naimark, 1957, Linear Representations of the Lorentz Group
- A. Erdelyi, 1953, Higher Transcendental Functions
- A. Messiah, 1964, Quantum Mechanics
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Observable effects of anisotropic bubble nucleation
Blanco-Pillado, J. J., & Salem, M. P. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2010/07/007 · Cited by 44
Metadata
- Authors
- BANDER, M., & ITZYKSON, C.
- Affiliations
- SLAC National Accelerator Laboratory (US)
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 1966-04-01
- Volume
- 38
- Issue
- 2
- Pages
- 346-358
- ISSN
- 0034-6861 (ISSN-L)
- OpenAlex
- W2083805544
- Cited by
- 291
- References
- 0
- Citations by year
- 2026: 7 · 2025: 2 · 2024: 5 · 2023: 4 · 2022: 6 · 2021: 9 · 2020: 43 · 2019: 6 · 2018: 2 · 2017: 4 · 2016: 4 · 2015: 6 · 2014: 5 · 2013: 5 · 2012: 6
- FWCI
- 4.14
- Type
- journal article
- Language
- en
- Open access
- green
- escholarship.org
- Licence
- Locations
- Reviews of Modern Physics (publishedVersion)
- eScholarship (California Digital Library) (submittedVersion, cc-by)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
- Physical Sciences › Mathematics › Algebra and Number Theory › Advanced Algebra and Geometry
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Atomic and Molecular Physics
- Keywords
- hydrogen atom, Lorentz group, scattering states, bound states, Coulomb potential, harmonic analysis, unitary representations, wave functions, relativistic quantum mechanics
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