Energy spectrum of isomer no. 3 of C82 fullerene of C 2 symmetry
2
Citation
16
Reference
10
Related Paper
Citation Trend
Keywords:
Energy spectrum
Optical spectra
Solid-state physics
We propose a new approach for modeling the quantum ring single particle energy spectrum. The approach is based on separation of variables in the Schr\"odinger equation in oblate spheroidal coordinates. We consider a model of a spheroidal quantum ring with infinite walls. Our simple model allowed us to study the spectra for quantum rings of different shapes. The spectrum is calculated for the ground and several excited states and the ring shape dependence of the spectrum is demonstrated. The spectrum can demonstrate parabolic or non-parabolic dependence on the magnetic quantum number for different shapes of the ring
Energy spectrum
Cite
Citations (0)
Energy spectrum
Landau quantization
Cite
Citations (0)
Sodium nitrate
Solid-state physics
Energy spectrum
Cite
Citations (0)
We propose a new approach for modeling the quantum ring single particle energy spectrum. The approach is based on separation of variables in the Schrödinger equation in oblate spheroidal coordinates. We consider a model of a spheroidal quantum ring with infinite walls. Our simple model allows us to study the spectra for quantum rings of different shapes. The spectrum is calculated for the ground and several excited states and the ring shape dependence of the spectrum is demonstrated.
Energy spectrum
Quantum number
Separation of variables
Cite
Citations (1)
For looking measured energy spectrum as classic spectrum estimation of the input signal, the method of re-estimating the nuclear energy spectrum by AR model is introduced. The spectrum is smoother, energy peak is narrower and number of particle in every peak and the spectrum are fixedness, after processed by the method.
Energy spectrum
Cite
Citations (0)
Roton
Energy spectrum
Cite
Citations (0)
Jahn–Teller effect
Solid-state physics
Optical spectra
Cite
Citations (0)
Solid-state physics
Optical spectra
Cite
Citations (8)
A model operator $H$ associated with the energy operator of a system describing three particles in interaction, without conservation of the number of particles, is considered. The precise location and structure of the essential spectrum of $H$ is described. The existence of infinitely many eigenvalues below the bottom of the essential spectrum of $H$ is proved for the case where an associated generalized Friedrichs model has a resonance at the bottom of its essential spectrum. An asymptotics for the number $N(z)$ of eigenvalues below the bottom of the essential spectrum is also established. The finiteness of eigenvalues of $H$ below the bottom of the essential spectrum is proved if the associated generalized Friedrichs model has an eigenvalue with energy at the bottom of its essential spectrum.
Essential spectrum
Discrete spectrum
Hamiltonian (control theory)
Energy spectrum
Operator (biology)
Continuous spectrum
Energy operator
Cite
Citations (1)
1: Preliminaries and historical overview. 2: Theoretical tools of fullerene research. 3: The C60 fullerene. 4: The C70 fullerene. 5: C76, C78, C82, and C84: The medium-size fullerenes. 6: Large spheroidal and tubular fullerenes, graphitic microtubules, and hypothetical polymeric allotropes of carbon. 7: Fullerenes with fewer than sixty carbon atoms. 8: Endohedral complexes. 9: Heterofullerenes and fullerene derivatives. 10: Solid-state properties of fullerenes and their drivatives. 11: Conclusions and future directions
Carbon fibers
Fullerene chemistry
Endohedral fullerene
Cite
Citations (226)