2 Quantum Theory of Spin Waves
... can also be found in Martin [5] and Rado and Suhl [6]. The approach taken here was introduced by Heitler and London [7]. ...
... can also be found in Martin [5] and Rado and Suhl [6]. The approach taken here was introduced by Heitler and London [7]. ...
Classical-field description of the quantum effects
... In this case, the Dirac equation and its specific cases (Klein-Gordon, Pauli and Schrödinger) should be considered to be the usual field equations of a classical electron wave field, similar to Maxwell’s equations for classical electromagnetic fields. As was shown in [10], considering the electron w ...
... In this case, the Dirac equation and its specific cases (Klein-Gordon, Pauli and Schrödinger) should be considered to be the usual field equations of a classical electron wave field, similar to Maxwell’s equations for classical electromagnetic fields. As was shown in [10], considering the electron w ...
Many-body properties of a spherical two
... the ground state of the S2DEG can excite a single electron from an occupied state 关 n(l ⬘ ,m ⬘ )⫽1兴 into an unoccupied state 关 n(L,m⫹m ⬘ )⫽0兴. These are the single-particle excitations 共called the ‘‘Landau continuum’’ in the case of the flat 2DEG兲. Figure 2 illustrates this concept in relation to th ...
... the ground state of the S2DEG can excite a single electron from an occupied state 关 n(l ⬘ ,m ⬘ )⫽1兴 into an unoccupied state 关 n(L,m⫹m ⬘ )⫽0兴. These are the single-particle excitations 共called the ‘‘Landau continuum’’ in the case of the flat 2DEG兲. Figure 2 illustrates this concept in relation to th ...
Chapter 10 Chemical Bonding Theories
... Orbitals on atoms “mix” to make molecular orbtials, which go over 2 or more atoms. Two electrons can be in an orbital. Orbitals are either: bonding, antibonding, or nonbonding. Bonds are either: sigma or pi. ...
... Orbitals on atoms “mix” to make molecular orbtials, which go over 2 or more atoms. Two electrons can be in an orbital. Orbitals are either: bonding, antibonding, or nonbonding. Bonds are either: sigma or pi. ...
Angular Momentum 23.1 Classical Description
... We learn that, for example, [L̂x , L̂y ] = i ~ Lz . This tells us that it is impossible to find eigenfunctions of Lx that are simultaneously eigenfunctions of Ly and/or Lz . So returning to the issue of [Ĥ, L̂i ] = 0, we can, evidently, choose any one of the angular momentum operators, and have sha ...
... We learn that, for example, [L̂x , L̂y ] = i ~ Lz . This tells us that it is impossible to find eigenfunctions of Lx that are simultaneously eigenfunctions of Ly and/or Lz . So returning to the issue of [Ĥ, L̂i ] = 0, we can, evidently, choose any one of the angular momentum operators, and have sha ...
Unified treatment of quantum coherent and incoherent hopping
... the environmental degrees of freedom. The most commonly used theory from this approach is the Redfield equation,15–18 which is based on second-order perturbative truncation with respect to electron-environment interaction and the Markov approximation. In photosynthetic EET, each site of a multichrom ...
... the environmental degrees of freedom. The most commonly used theory from this approach is the Redfield equation,15–18 which is based on second-order perturbative truncation with respect to electron-environment interaction and the Markov approximation. In photosynthetic EET, each site of a multichrom ...
ψ ε
... d > 3, we naturally have to make this assumption. On the other hand, we will need the approximate envelope u to be rather smooth, which requires a smooth nonlinearity, σ ∈ N. Intersecting this property with the assumptions of Theorem 1.4 leaves only one case: d = 3 and σ = 1, that is (1.1), up to th ...
... d > 3, we naturally have to make this assumption. On the other hand, we will need the approximate envelope u to be rather smooth, which requires a smooth nonlinearity, σ ∈ N. Intersecting this property with the assumptions of Theorem 1.4 leaves only one case: d = 3 and σ = 1, that is (1.1), up to th ...
Quantum Contributions to Cosmological Correlations
... Until now, higher-order cosmological correlations have been calculated by solving the classical field equations beyond the linear approximation. As will be shown in the Appendix, this is equivalent to calculating sums of tree graphs, though in a formalism different from the familiar Feynman graph fo ...
... Until now, higher-order cosmological correlations have been calculated by solving the classical field equations beyond the linear approximation. As will be shown in the Appendix, this is equivalent to calculating sums of tree graphs, though in a formalism different from the familiar Feynman graph fo ...
Operators and Quantum Mechanics
... For Hermitian operators  and B̂ representing physical variables it is very important to know if they commute ˆ ˆ BA ˆˆ ? i.e., is AB Remember that because these linear operators obey the same algebra as matrices in general operators do not commute ...
... For Hermitian operators  and B̂ representing physical variables it is very important to know if they commute ˆ ˆ BA ˆˆ ? i.e., is AB Remember that because these linear operators obey the same algebra as matrices in general operators do not commute ...