CHAPTER 10: Molecules and Solids
... They are made up of many smaller crystals. Solids lacking any significant lattice structure are called amorphous and are referred to as “glasses.” Why do solids form as they do? When the material changes from the liquid to the solid state, the atoms can each find a place that creates the minimum ene ...
... They are made up of many smaller crystals. Solids lacking any significant lattice structure are called amorphous and are referred to as “glasses.” Why do solids form as they do? When the material changes from the liquid to the solid state, the atoms can each find a place that creates the minimum ene ...
Kondo effect of an antidot in the integer quantum Hall regime: a
... polarization is equivalent to increasing electron spin polarization. However, this result does not match those expected in the experiment [8] of large-size realistic antidots and the results of the capacitive interaction model [12]. In large-size antidots, it is naturally expected that the spin pola ...
... polarization is equivalent to increasing electron spin polarization. However, this result does not match those expected in the experiment [8] of large-size realistic antidots and the results of the capacitive interaction model [12]. In large-size antidots, it is naturally expected that the spin pola ...
Bose-Einstein Condensation in Atomic Gases
... m. One has in this case λdB n−1/3 . On the other hand, with about N = 104 cold atoms in a trap at temperature T ≈ 100 nK, λdB ≈ n−1/3 , i.e., quantum degeneracy occurs. Note that for treating an atom as boson or fermion, the statistical properties of an atom as a whole need to be taken into accoun ...
... m. One has in this case λdB n−1/3 . On the other hand, with about N = 104 cold atoms in a trap at temperature T ≈ 100 nK, λdB ≈ n−1/3 , i.e., quantum degeneracy occurs. Note that for treating an atom as boson or fermion, the statistical properties of an atom as a whole need to be taken into accoun ...
Equilibrium concentration of point defects in crystalline
... that the vibrational amplitude at melting, as measured by the Lindemann ratio, is much higher when localizing wave functions are used rather than a pure Jastrow form; the high Lindemann ratio has been confirmed by later simulations that also give reasonable energies, 1~'~2~ but it has apparently nev ...
... that the vibrational amplitude at melting, as measured by the Lindemann ratio, is much higher when localizing wave functions are used rather than a pure Jastrow form; the high Lindemann ratio has been confirmed by later simulations that also give reasonable energies, 1~'~2~ but it has apparently nev ...
qm-cross-sections
... In a practical scattering situation we have a finite acceptance for a detector with a solid angle W. There is a range of momenta which are allowed by kinematics which can contribute to the cross section. The cross section for scattering into W is then obtained as an integral over all the allowed m ...
... In a practical scattering situation we have a finite acceptance for a detector with a solid angle W. There is a range of momenta which are allowed by kinematics which can contribute to the cross section. The cross section for scattering into W is then obtained as an integral over all the allowed m ...
Lecture 14 Thermodynamic Properties
... There are two things wrong with the above equation. (a) The atoms are indistinguishable. (b) We cannot specify the momentum and position without violating the Heisenberg uncertainty principle. We account for indistinguishability by dividing by N !. Why? There are N ! ways of arranging N atoms at N s ...
... There are two things wrong with the above equation. (a) The atoms are indistinguishable. (b) We cannot specify the momentum and position without violating the Heisenberg uncertainty principle. We account for indistinguishability by dividing by N !. Why? There are N ! ways of arranging N atoms at N s ...
Graph theory in chemistry
... Electrons, e-, surround the nucleus in various energy states, with the outermost state being occupied known as the valence shell. ...
... Electrons, e-, surround the nucleus in various energy states, with the outermost state being occupied known as the valence shell. ...
The Quantum Theory of the Emission and Absorption of Radiation
... in which it can be applied to systems for which the Hamiltonian involves the time explicitly. One may have a dynamical system specified by a Hamiltonian H which cannot be expressed as an algebraic function of any set of canonical variables, but which can all the same be represented by a matrix H(ξ 0 ...
... in which it can be applied to systems for which the Hamiltonian involves the time explicitly. One may have a dynamical system specified by a Hamiltonian H which cannot be expressed as an algebraic function of any set of canonical variables, but which can all the same be represented by a matrix H(ξ 0 ...
Part II. p-orbital physics in optical lattices
... W. C. Lee, C. Wu, S. Das Sarma, in preparation. C. Wu, PRL 101, 168807 (2008). C. Wu, PRL 100, 200406 (2008). C. Wu, and S. Das Sarma, PRB 77, 235107 (2008). S. Zhang , H. H. Hung, and C. Wu, arXiv:0805.3031. C. Wu, D. Bergman, L. Balents, and S. Das Sarma, PRL 99, 67004(2007). ...
... W. C. Lee, C. Wu, S. Das Sarma, in preparation. C. Wu, PRL 101, 168807 (2008). C. Wu, PRL 100, 200406 (2008). C. Wu, and S. Das Sarma, PRB 77, 235107 (2008). S. Zhang , H. H. Hung, and C. Wu, arXiv:0805.3031. C. Wu, D. Bergman, L. Balents, and S. Das Sarma, PRL 99, 67004(2007). ...
Many-body approaches to studies of electronic systems: Hartree-Fock theory and Density
... φnlml (r) = Rnl (r)Ylml (r̂) with Y the spherical harmonics discussed in chapter 14 and unl = rRnl . The other quantum numbers are the orbital momentum l and its projection ml = −l, −l + 1, . . . , l − 1, l and the principal quantum number n = nr + l + 1, with nr the number of nodes of a given singl ...
... φnlml (r) = Rnl (r)Ylml (r̂) with Y the spherical harmonics discussed in chapter 14 and unl = rRnl . The other quantum numbers are the orbital momentum l and its projection ml = −l, −l + 1, . . . , l − 1, l and the principal quantum number n = nr + l + 1, with nr the number of nodes of a given singl ...