"Effects of quantum chemistry models for bound electrons on positron annihilation spectra for atoms and small molecules" New J. Phys. , 14 , 085022 (2012). F. Wang, X. Ma, L. Selvam, G. F. Gribakin, and C. M Surko (PDF)
... will be the same when using either HF or post-HF models, but will be different from those simulated using the DFT models. The choice of basis set is also important for the development of an accurate model. Usually, basis sets with larger sizes lead to more accurate results but at a significant compu ...
... will be the same when using either HF or post-HF models, but will be different from those simulated using the DFT models. The choice of basis set is also important for the development of an accurate model. Usually, basis sets with larger sizes lead to more accurate results but at a significant compu ...
Lie Algebras and the Schr¨odinger equation: (quasi-exact-solvability, symmetric coordinates) Alexander Turbiner
... Both AN − and BCN − rational and trigonometric models possess algebraic forms associated with preservation of the same flag of polynomials P (N) . The flag is invariant wrt linear transformations in space of orbits t 7→ t + A . ...
... Both AN − and BCN − rational and trigonometric models possess algebraic forms associated with preservation of the same flag of polynomials P (N) . The flag is invariant wrt linear transformations in space of orbits t 7→ t + A . ...
Semiclassical approximation of excitations in spin-1 Heisenberg antiferromagnets
... The above model is also known as the Rotor Model. At g = 0 we get a perfectly ordered state with anti-ferromagnetic coupling. Non zero g destroys ordering. It can be proved that even for small values of g the effective contribution to the Hamiltonian due to the second term is very small and thus can ...
... The above model is also known as the Rotor Model. At g = 0 we get a perfectly ordered state with anti-ferromagnetic coupling. Non zero g destroys ordering. It can be proved that even for small values of g the effective contribution to the Hamiltonian due to the second term is very small and thus can ...
The Noble Gases
... (designated spin up or ↑) or –½ (spin down or ↓). This spin is the quantum mechanical equivalent of angular momentum due to the rotation of the particle, in units of ħ (ħ = h/2p and h = Planck’s constant is approximately 6.626×10−34 Js (Js = Joule second)). We can picture the electron as a ball rota ...
... (designated spin up or ↑) or –½ (spin down or ↓). This spin is the quantum mechanical equivalent of angular momentum due to the rotation of the particle, in units of ħ (ħ = h/2p and h = Planck’s constant is approximately 6.626×10−34 Js (Js = Joule second)). We can picture the electron as a ball rota ...
Probability Relations between Separated Systems
... case that in the expansion (12) no coefficients vanish deserves to be called the general one. Then there is no reduction to a subspace and what has just been said holds for an altogether arbitrary state. That was the meaning of the announcement made in section 1. 4. Indubitably the situation describ ...
... case that in the expansion (12) no coefficients vanish deserves to be called the general one. Then there is no reduction to a subspace and what has just been said holds for an altogether arbitrary state. That was the meaning of the announcement made in section 1. 4. Indubitably the situation describ ...
Quantum Time Crystals - DSpace@MIT
... As in the noninteracting ring particle model, the lowest energy is obtained by minimizing l0 þ , for integral l0 . This will supply appropriate c~ . If is not an integer c l0 ð; tÞ will be a moving lump, and time-translation symmetry will have been spontaneously broken. If is half an odd integ ...
... As in the noninteracting ring particle model, the lowest energy is obtained by minimizing l0 þ , for integral l0 . This will supply appropriate c~ . If is not an integer c l0 ð; tÞ will be a moving lump, and time-translation symmetry will have been spontaneously broken. If is half an odd integ ...
Document
... there are relatively few, analytically solveable examples. The classical solvable examples are basically piecewise constant potentials, the harmonic oscillator and the hydrogen atom. One can always find particular solutions to particular problems by numerical methods on the computer. An alternative i ...
... there are relatively few, analytically solveable examples. The classical solvable examples are basically piecewise constant potentials, the harmonic oscillator and the hydrogen atom. One can always find particular solutions to particular problems by numerical methods on the computer. An alternative i ...
8
... In classical physics, a particle moves along a well-de®ned trajectory. A quantum object, however, reveals its wave character in interference experiments in which the object seems to move from one place to another along several different paths simultaneously. It is essential that these ways are indis ...
... In classical physics, a particle moves along a well-de®ned trajectory. A quantum object, however, reveals its wave character in interference experiments in which the object seems to move from one place to another along several different paths simultaneously. It is essential that these ways are indis ...
Atomic Structure Institute of Lifelong Learning, University of Delhi
... Bohr was able to explain the stability of atoms as well as the emission spectrum of hydrogen with these postulates. However, soon it was realized that Bohr’s model of atom had many limitations and needed to be redefined. 1.2.1 Limitations of The Bohr’s Model of Atom 1. Bohr’s model of atom could not ...
... Bohr was able to explain the stability of atoms as well as the emission spectrum of hydrogen with these postulates. However, soon it was realized that Bohr’s model of atom had many limitations and needed to be redefined. 1.2.1 Limitations of The Bohr’s Model of Atom 1. Bohr’s model of atom could not ...