No Slide Title
... units along the z-axis and with an orientation that indicates the direction of motion of the particle. The direction is given by the right-hand screw rule. ...
... units along the z-axis and with an orientation that indicates the direction of motion of the particle. The direction is given by the right-hand screw rule. ...
Characterising Graph Symmetries through Quantum
... V whose squared norm sums to unity over the nodes of the graph, with no restriction on their sign or complex phase. These phase differences allow interference effects to take place. Moreover, in the quantum case the evolution of the state vector of the walker is governed by a complex valued unitary ...
... V whose squared norm sums to unity over the nodes of the graph, with no restriction on their sign or complex phase. These phase differences allow interference effects to take place. Moreover, in the quantum case the evolution of the state vector of the walker is governed by a complex valued unitary ...
271, 31 (2000) .
... of incorrect one. In fact, this result is a special case of that we have derived in w23x. In Ref. w23x, we have consider two possible ways in which an attempt to discriminate between non-orthogonal states can fail, by giving either an erroneous or an inconclusive result. Above strategy just gives an ...
... of incorrect one. In fact, this result is a special case of that we have derived in w23x. In Ref. w23x, we have consider two possible ways in which an attempt to discriminate between non-orthogonal states can fail, by giving either an erroneous or an inconclusive result. Above strategy just gives an ...
Open-string operator products
... to relate integrated and unintegrated vertices in subsection XIIB8 of Fields. We’ll do a better job of that here.) The main point is the existence of integrated and unintegrated vertex operators: Integrated ones are natural from adding backgrounds to the gauge-invariant action; unintegrated ones fro ...
... to relate integrated and unintegrated vertices in subsection XIIB8 of Fields. We’ll do a better job of that here.) The main point is the existence of integrated and unintegrated vertex operators: Integrated ones are natural from adding backgrounds to the gauge-invariant action; unintegrated ones fro ...
The Paradoxes of Quantum Mechanics
... in our technology, but rather because the laws of physics always intervene in just such a way as to foil any attempt to measure both wave and particle properties together. It is this “conspiracy” that prevents us from even thinking clearly about light, or any other form of radiation, in the absence ...
... in our technology, but rather because the laws of physics always intervene in just such a way as to foil any attempt to measure both wave and particle properties together. It is this “conspiracy” that prevents us from even thinking clearly about light, or any other form of radiation, in the absence ...
Semiclassical approximation of excitations in spin-1 Heisenberg antiferromagnets
... The above model is also known as the Rotor Model. At g = 0 we get a perfectly ordered state with anti-ferromagnetic coupling. Non zero g destroys ordering. It can be proved that even for small values of g the effective contribution to the Hamiltonian due to the second term is very small and thus can ...
... The above model is also known as the Rotor Model. At g = 0 we get a perfectly ordered state with anti-ferromagnetic coupling. Non zero g destroys ordering. It can be proved that even for small values of g the effective contribution to the Hamiltonian due to the second term is very small and thus can ...
phys3313-fall13
... 3) For finite potentials, the wave function and its derivatives must be continuous. This is required because the second-order derivative term in the wave equation must be single valued. (There are exceptions to this rule when V is infinite.) 4) In order to normalize the wave functions, they must app ...
... 3) For finite potentials, the wave function and its derivatives must be continuous. This is required because the second-order derivative term in the wave equation must be single valued. (There are exceptions to this rule when V is infinite.) 4) In order to normalize the wave functions, they must app ...
An asymptotic preserving scheme for the Schrödinger equation in
... show that the space and time discretizations must satisfy ∆x = o(ε) and ∆t = o(ε). Time splitting spectral approximations are more efficient [1] but the constraints on the space and time discretizations are still very stringent: ∆t = O(ε) and ∆x = o(ε). In a closer spirit to this note, the Madelung ...
... show that the space and time discretizations must satisfy ∆x = o(ε) and ∆t = o(ε). Time splitting spectral approximations are more efficient [1] but the constraints on the space and time discretizations are still very stringent: ∆t = O(ε) and ∆x = o(ε). In a closer spirit to this note, the Madelung ...
powerpoint - University of Illinois Urbana
... National Science Foundation under Grant CHE-1118616 (CAREER), and the Camille & Henry Dreyfus Foundation, Inc. through the Camille Dreyfus Teacher-Scholar program. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily ...
... National Science Foundation under Grant CHE-1118616 (CAREER), and the Camille & Henry Dreyfus Foundation, Inc. through the Camille Dreyfus Teacher-Scholar program. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily ...
Unified view on multiconfigurational time propagation for systems
... The second strategy which is directly applicable also to Eqs. 共15兲 and 共17兲 stems from the representation of Eqs. 共12兲 and 共16兲, or Eqs. 共15兲 and 共17兲, in terms of the reduced one- and two-body density matrices and is based on the reduced density matrices themselves. Specifically, we can replace the ...
... The second strategy which is directly applicable also to Eqs. 共15兲 and 共17兲 stems from the representation of Eqs. 共12兲 and 共16兲, or Eqs. 共15兲 and 共17兲, in terms of the reduced one- and two-body density matrices and is based on the reduced density matrices themselves. Specifically, we can replace the ...
