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... Here σix , σiz are Pauli matrices at site i, the nearest neighbor coupling constants, Jij , and the transverse fields, hi , are independent random variables. In one dimension (1d), where the topology of the lattice is invariant under renormalization, Fisher [3] has solved analytically the fixed-poin ...
... Here σix , σiz are Pauli matrices at site i, the nearest neighbor coupling constants, Jij , and the transverse fields, hi , are independent random variables. In one dimension (1d), where the topology of the lattice is invariant under renormalization, Fisher [3] has solved analytically the fixed-poin ...
Monday, Apr. 4, 2005
... – Lagrangian formalism: L=T-V where the Equation of motion is what minimizes the lagrangian L under changes of coordinates – Hamiltonian formalism: H=T+V with the equation of motion that minimizes the Hamiltonian under changes of coordinates ...
... – Lagrangian formalism: L=T-V where the Equation of motion is what minimizes the lagrangian L under changes of coordinates – Hamiltonian formalism: H=T+V with the equation of motion that minimizes the Hamiltonian under changes of coordinates ...
3. Angular Momentum States.
... consistent with torques applied to the body. This means that in a Cartesian coordinate system, the angular momentum of a body around each of the three perpendicular axes may take any value consistent with the magnitude of the angular momentum. Thus, if electron spin were a classical quantity, the ma ...
... consistent with torques applied to the body. This means that in a Cartesian coordinate system, the angular momentum of a body around each of the three perpendicular axes may take any value consistent with the magnitude of the angular momentum. Thus, if electron spin were a classical quantity, the ma ...
The path integral representation kernel of evolution operator in
... The path integral method was proposed by R. Feynman as a new approach [1] to the solution of quantum mechanical problems. Nowadays it became one of the most powerful methods in theoretical physics. Many applications (see [2–5]) of this method are devoted to diverse important problems. In articles [6 ...
... The path integral method was proposed by R. Feynman as a new approach [1] to the solution of quantum mechanical problems. Nowadays it became one of the most powerful methods in theoretical physics. Many applications (see [2–5]) of this method are devoted to diverse important problems. In articles [6 ...
Consciousness as a State of Matter
... observed system. Finally, out of all of the possible factorizations of Hilbert space, why is the particular factorization corresponding to classical space so special? Why do we observers perceive ourselves are fairly local in real space as opposed to Fourier space, say, which according to the formal ...
... observed system. Finally, out of all of the possible factorizations of Hilbert space, why is the particular factorization corresponding to classical space so special? Why do we observers perceive ourselves are fairly local in real space as opposed to Fourier space, say, which according to the formal ...
Magnetic order in nuclear spin two-dimensional lattices due to electron–electron interactions
... the effective mass. We emphasise the non-analytic behaviour on the modulus q ¼ jqj, which cannot be derived within a standard Fermi liquid theory. This linear jqj dependence is indeed the necessary dependence for a nuclear ferromagnet as discussed above. The problem here is, however, the sign of thi ...
... the effective mass. We emphasise the non-analytic behaviour on the modulus q ¼ jqj, which cannot be derived within a standard Fermi liquid theory. This linear jqj dependence is indeed the necessary dependence for a nuclear ferromagnet as discussed above. The problem here is, however, the sign of thi ...
Exact and Effective Pair-Wise Potential for Protein-Ligand Interactions Obtained from a Semiempirical Energy Partition
... Computational methods are of great interest to evaluate binding affinities between proteins and ligands, with many applications in structure-based drug design (SBDD) [1]. A complete description of the correspondent molecular interactions, including the short-range polarization plus charge transfer ( ...
... Computational methods are of great interest to evaluate binding affinities between proteins and ligands, with many applications in structure-based drug design (SBDD) [1]. A complete description of the correspondent molecular interactions, including the short-range polarization plus charge transfer ( ...
Impulse and Momentum
... was zero. Notice that the linear momentum of any particular object within the system will, in general, change due to internal forces. But the sum of the individual momenta of the objects in the system, added as the vectors that they are, does not change – as long as the system is isolated. ...
... was zero. Notice that the linear momentum of any particular object within the system will, in general, change due to internal forces. But the sum of the individual momenta of the objects in the system, added as the vectors that they are, does not change – as long as the system is isolated. ...