93, 074101 (2004)
... Hermiticity of the Bogoliubov equation makes it allowable to have complex eigenvalues in general, which signifies the instability of the stationary solution. This will not happen about the ground state (lowest energy state), which is always stable. Therefore, our investigation of the Bogoliubov prob ...
... Hermiticity of the Bogoliubov equation makes it allowable to have complex eigenvalues in general, which signifies the instability of the stationary solution. This will not happen about the ground state (lowest energy state), which is always stable. Therefore, our investigation of the Bogoliubov prob ...
Quantum field theory in curved spacetime
... The special theory of relativity postulates that all inertial reference frames are equivalent. That is, the laws of physics are symmetric under the Lorentz group, which consists of all the proper Lorentz rotations. In quantum field theory, one usually makes the additional demand that physical system ...
... The special theory of relativity postulates that all inertial reference frames are equivalent. That is, the laws of physics are symmetric under the Lorentz group, which consists of all the proper Lorentz rotations. In quantum field theory, one usually makes the additional demand that physical system ...
The physics of density matrices (Robert Helling — )
... The density matrix γ is an operator on H1 only and thus we have achieved to write the above expectation value trH1 γO1 without reference to objects relating to H2 . It is easy to check that γ is a positive operator and kΨk = 1 implies trH1 γ = 1. We find that the density matrix γ encodes all expecta ...
... The density matrix γ is an operator on H1 only and thus we have achieved to write the above expectation value trH1 γO1 without reference to objects relating to H2 . It is easy to check that γ is a positive operator and kΨk = 1 implies trH1 γ = 1. We find that the density matrix γ encodes all expecta ...
The angular part of the wavefunction, A(θ, Φ)
... types of atomic orbitals. For s orbitals, A(θ, Φ), is independent of the angles θ and Φ and is of a constant value. Thus, an s orbital is spherically symmetric about the nucleus. We noted above that a set of p orbitals is triply degenerate; by convention they are given the labels px, py and pz. The ...
... types of atomic orbitals. For s orbitals, A(θ, Φ), is independent of the angles θ and Φ and is of a constant value. Thus, an s orbital is spherically symmetric about the nucleus. We noted above that a set of p orbitals is triply degenerate; by convention they are given the labels px, py and pz. The ...
quantum number
... electrons to a multielectron atom to find the lowest energy state (ground state) of the atom. 1) Pauli principle - No two electrons can have the same set of four quantum numbers. 2) Aufbau principle - Electrons add to the lowest energy available orbital until that orbital is filled. 3) Hund’s rule - ...
... electrons to a multielectron atom to find the lowest energy state (ground state) of the atom. 1) Pauli principle - No two electrons can have the same set of four quantum numbers. 2) Aufbau principle - Electrons add to the lowest energy available orbital until that orbital is filled. 3) Hund’s rule - ...
Quantum Spin Hall Effect and Topological Insulator
... a critical thickness d = dc. The quantum spin Hall phase occurs in the inverted regime where M < 0, which is d
... a critical thickness d = dc. The quantum spin Hall phase occurs in the inverted regime where M < 0, which is d
16 Effective quantum field theories
... natural synthesis of quantum mechanics and relativistic wave equations like Maxwell's equations (the equations that describe the properties of classical electric and magnetic fields) and the Dirac equation (an attempt to describe the properties of the field associated with the electron). Today we wo ...
... natural synthesis of quantum mechanics and relativistic wave equations like Maxwell's equations (the equations that describe the properties of classical electric and magnetic fields) and the Dirac equation (an attempt to describe the properties of the field associated with the electron). Today we wo ...
![Assemblage: Exercises in Statistical Mechanics ====== [A] Ensemble Theory - classical gases](http://s1.studyres.com/store/data/008930189_1-a7a37d9ca413714c6a603f524253db38-300x300.png)
Assemblage: Exercises in Statistical Mechanics ====== [A] Ensemble Theory - classical gases
... A02. Consider mixing of two gases with initial different temperatures, T1 , T2 , particle numbers N1 , N2 and volumes V1 , V2 , respectively. Evaluate the mixing entropy (i.e. the change of entropy upon mixing) in two cases: (i) the gases are identical, (ii) the gases are distinct (but have equal ma ...
... A02. Consider mixing of two gases with initial different temperatures, T1 , T2 , particle numbers N1 , N2 and volumes V1 , V2 , respectively. Evaluate the mixing entropy (i.e. the change of entropy upon mixing) in two cases: (i) the gases are identical, (ii) the gases are distinct (but have equal ma ...
to be completed. LECTURE NOTES 1
... 3.1. Observables and Spectral Theory. The broader definition of an observable is any selfadjoint operator commuting with the Hamiltonian. Two observables A, B are said to be incompatible if AB 6= BA. Physically, making the observation A after the measure B will have different results from making the ...
... 3.1. Observables and Spectral Theory. The broader definition of an observable is any selfadjoint operator commuting with the Hamiltonian. Two observables A, B are said to be incompatible if AB 6= BA. Physically, making the observation A after the measure B will have different results from making the ...
Quantum Control in Cold Atom Systems
... (See Y. Barlas and KY, PRL 11 for more details; simulation underway by Haldane and Rezayi) Story similar to, but simpler than Senthil-Fisher theory for spin-charge separation in cuprates. ...
... (See Y. Barlas and KY, PRL 11 for more details; simulation underway by Haldane and Rezayi) Story similar to, but simpler than Senthil-Fisher theory for spin-charge separation in cuprates. ...
doc
... ESR has been used as an investigative tool for the study of radicals formed in solid materials, since the radicals typically produce an unpaired spin on the molecule from which an electron is removed. Particularly fruitful has been the study of the ESR spectra of radicals produced as radiation damag ...
... ESR has been used as an investigative tool for the study of radicals formed in solid materials, since the radicals typically produce an unpaired spin on the molecule from which an electron is removed. Particularly fruitful has been the study of the ESR spectra of radicals produced as radiation damag ...
Hydrogen Atom
... more “wiggly” as n increases. This to say the wavefunction changes sign and there are nodes. Just like the particle in a box, the number of nodes increases with energy. In the H-atom the number of nodes is equal to n-1. Let’s think about the S functions. For n=1 the radial part here is peaked at r=0 ...
... more “wiggly” as n increases. This to say the wavefunction changes sign and there are nodes. Just like the particle in a box, the number of nodes increases with energy. In the H-atom the number of nodes is equal to n-1. Let’s think about the S functions. For n=1 the radial part here is peaked at r=0 ...
