Commun. Math. Phys. 110, 33-49
... purely discrete spectrum. The system is started in a nondegenerate eigenstate. In 1950 Kato [8] extended the proof to H(s) that may have some continuous spectra provided the system is started in the spectral subspace of a discrete eigenvalue E(s\ possibly finitely degenerate. In this particular case ...
... purely discrete spectrum. The system is started in a nondegenerate eigenstate. In 1950 Kato [8] extended the proof to H(s) that may have some continuous spectra provided the system is started in the spectral subspace of a discrete eigenvalue E(s\ possibly finitely degenerate. In this particular case ...
Comparisons between classical and quantum mechanical
... Satyendra Nath Bose (whom they are named after) and Albert Einstein in 19241925 [20, 37, 38]. It was Einstein who realized that a macroscopic fraction of noninteracting massive bosons will accumulate in the lowest single particle quantum state for sufficiently low temperatures. This new phase of mat ...
... Satyendra Nath Bose (whom they are named after) and Albert Einstein in 19241925 [20, 37, 38]. It was Einstein who realized that a macroscopic fraction of noninteracting massive bosons will accumulate in the lowest single particle quantum state for sufficiently low temperatures. This new phase of mat ...
7 Scattering theory and the S matrix
... (in the continuum) is the only normalizable eigenstate of H0 , and span the socalled Fock space. Energy of any of such states is simply the sum of energies of the one-particle states from which it is constructed. The dynamics governed by H0 is trivial. It should be kept in mind that even in the fini ...
... (in the continuum) is the only normalizable eigenstate of H0 , and span the socalled Fock space. Energy of any of such states is simply the sum of energies of the one-particle states from which it is constructed. The dynamics governed by H0 is trivial. It should be kept in mind that even in the fini ...
Magnetism: Models and Mechanisms - cond
... m,m0 yield the crystal-field matrix and tm,m0 with i 6= i the hopping integrals. The label m indicates here the orbital quantum number of the Wannier function. In general the Hamiltonian (5) will include states stemming from more than a single atomic shell. For example, in the case of strongly-corre ...
... m,m0 yield the crystal-field matrix and tm,m0 with i 6= i the hopping integrals. The label m indicates here the orbital quantum number of the Wannier function. In general the Hamiltonian (5) will include states stemming from more than a single atomic shell. For example, in the case of strongly-corre ...
2 Quantum Theory of Spin Waves
... individual atoms and ions. When these atoms or ions are constituents of a solid, it is important to take into consideration the ways in which the angular momenta on different sites interact with one another. For simplicity, we will restrict our attention to the case when the angular momentum on each ...
... individual atoms and ions. When these atoms or ions are constituents of a solid, it is important to take into consideration the ways in which the angular momenta on different sites interact with one another. For simplicity, we will restrict our attention to the case when the angular momentum on each ...
Breaking Multiple Covalent Bonds with Hartree-Fock-based
... VCCD 19–21 , of which the most recent, Quasi-Variational Coupled Cluster (QVCC) 21 , shows very promising behaviour. We have demonstrated that this single-reference method, which makes use of an extensive and Hermitian energy functional that is exact for any number of isolated 2-electron subsystems ...
... VCCD 19–21 , of which the most recent, Quasi-Variational Coupled Cluster (QVCC) 21 , shows very promising behaviour. We have demonstrated that this single-reference method, which makes use of an extensive and Hermitian energy functional that is exact for any number of isolated 2-electron subsystems ...
Aspects of quantum work - Physik Uni-Augsburg
... try to circumvent the Zeno effect by restricting the observations to a discrete set of times with a suitably chosen strength of observation. Yet the resulting statistics of work turn out to be essentially determined by the number and strength of the observations and only to a lesser extent by the fo ...
... try to circumvent the Zeno effect by restricting the observations to a discrete set of times with a suitably chosen strength of observation. Yet the resulting statistics of work turn out to be essentially determined by the number and strength of the observations and only to a lesser extent by the fo ...
Quantum properties of spherical semiconductor quantum dots
... electromagnetic field. In semiconductor microcrystals, the presence of a constant electric field gives rise to quantum-confinement Stark effects (QCSE) [19–21]. It manifests itself by a characteristic red-shift of the exciton photoluminescence [22–26], and leads to a corresponding enhancement of its ...
... electromagnetic field. In semiconductor microcrystals, the presence of a constant electric field gives rise to quantum-confinement Stark effects (QCSE) [19–21]. It manifests itself by a characteristic red-shift of the exciton photoluminescence [22–26], and leads to a corresponding enhancement of its ...
Calculation of Dispersion Energies - Psi-k
... then represents a very distant part of the correlation hole density n2 (~r, ~r ′ |) [15] due to discovery of the electron at ~r ′ . The shape of this hole is entirely determined by the shape of atom #1, and is thus quite unlike the long-ranged part of the xc hole present in a uniform electron gas of ...
... then represents a very distant part of the correlation hole density n2 (~r, ~r ′ |) [15] due to discovery of the electron at ~r ′ . The shape of this hole is entirely determined by the shape of atom #1, and is thus quite unlike the long-ranged part of the xc hole present in a uniform electron gas of ...
Quantum Mechanics - Home Page for Richard Fitzpatrick
... The above expression is called the normalization condition, and must be satisfied by any complete set of probabilities. This condition is equivalent to the self-evident statement that an observation of a system must definitely result in one of its possible outcomes. There is another way in which we ...
... The above expression is called the normalization condition, and must be satisfied by any complete set of probabilities. This condition is equivalent to the self-evident statement that an observation of a system must definitely result in one of its possible outcomes. There is another way in which we ...
