Metaphors for Abstract Concepts: Visual Art and Quantum Mechanics
... that the physical world changes too). It also evokes a Jungian notion of a collective unconscious that I will discuss later as a way of explaining the psychological process behind the creation and interpretation of a metaphor. Critically, for the intellectualist, metaphors have a creative capacity i ...
... that the physical world changes too). It also evokes a Jungian notion of a collective unconscious that I will discuss later as a way of explaining the psychological process behind the creation and interpretation of a metaphor. Critically, for the intellectualist, metaphors have a creative capacity i ...
1 Transport of Dirac Surface States
... of valleys (without reversal of momenta ~q) : U = iτy ⊗I. The presence of these two timereversal symmetries, an orthogonal and a symplectic one, leads to a possible cross-over between universality classes of phase-coherent weak localization physics : this crossover is controlled by the correlation o ...
... of valleys (without reversal of momenta ~q) : U = iτy ⊗I. The presence of these two timereversal symmetries, an orthogonal and a symplectic one, leads to a possible cross-over between universality classes of phase-coherent weak localization physics : this crossover is controlled by the correlation o ...
Electronic structure of rectangular quantum dots
... where the N-particle coordinate configurations Ri are distributed as 兩 ⌿ 兩 2 and generated using the Metropolis algorithm. The variational principle guarantees that the total energy given by the VMC method, using any trial wave function with proper particle symmetry, is always an upper bound for the ...
... where the N-particle coordinate configurations Ri are distributed as 兩 ⌿ 兩 2 and generated using the Metropolis algorithm. The variational principle guarantees that the total energy given by the VMC method, using any trial wave function with proper particle symmetry, is always an upper bound for the ...
Heisenberg uncertainty relations for photons
... In contrast to the one-dimensional case, the inequalities (2) and (23) are not sharp because there is no state vector that is annihilated by all three components of the vector operator  = R̂ + iλ P̂ and even by two components. This is due to the fact that the commutators (13) of the components ...
... In contrast to the one-dimensional case, the inequalities (2) and (23) are not sharp because there is no state vector that is annihilated by all three components of the vector operator  = R̂ + iλ P̂ and even by two components. This is due to the fact that the commutators (13) of the components ...
Kinetic Energy Estimates for the Accuracy of the Time
... γΦHF,t kL1 . In the present article we restrict ourselves to the case k = 1. Derivation of the TDHF Equation. The derivation of the TDHF equation may be seen as part of the quest for a derivation of macroscopic, or mesoscopic, dynamics from the microscopic classical or quantum-mechanical dynamics of ...
... γΦHF,t kL1 . In the present article we restrict ourselves to the case k = 1. Derivation of the TDHF Equation. The derivation of the TDHF equation may be seen as part of the quest for a derivation of macroscopic, or mesoscopic, dynamics from the microscopic classical or quantum-mechanical dynamics of ...
Fibonacci Quanta - University of Illinois at Chicago
... roots. (This happens when a 2 + 4b is less than zero.) Under these circumstances, the formal solution does not represent a real number. For example, if i denotes the square root of minus one, then we could write ...
... roots. (This happens when a 2 + 4b is less than zero.) Under these circumstances, the formal solution does not represent a real number. For example, if i denotes the square root of minus one, then we could write ...
Primitive ontology and quantum state in the GRW matter density theory
... four-dimensional space-time, at least not if one considers N-particle systems with N > 1. One then has to regard the quantum state either as a field on 3N-dimensional configuration space or as what Belot calls a “multi-field”, an object assigning properties to N-tuples of points in space. The second ...
... four-dimensional space-time, at least not if one considers N-particle systems with N > 1. One then has to regard the quantum state either as a field on 3N-dimensional configuration space or as what Belot calls a “multi-field”, an object assigning properties to N-tuples of points in space. The second ...
Quantum Mechanics and 3N‐Dimensional Space
... Here q-space is configuration space. Schrödinger’s claim is made in the context of a discussion of one-particle systems, where configuration space is just three-dimensional space. What about a multiparticle system, though? Schrödinger considers a two-particle system late in the paper but has only ...
... Here q-space is configuration space. Schrödinger’s claim is made in the context of a discussion of one-particle systems, where configuration space is just three-dimensional space. What about a multiparticle system, though? Schrödinger considers a two-particle system late in the paper but has only ...
... with optimal solution times increasing faster than this (e.g., as an exponential function of the input size for sufficiently large values) are considered to be intractable. The technological potential for quantum computing was first realized in the formulation by Shor (1994) of a polynomial-time qua ...
Physics 139B Solutions to Homework Set 4 Fall 2009 1. Liboff
... In this limit, the perturbation is not adiabatic, as the time-scale over which the perturbation changes is of order the natural time scale of the system. The probability of a transition from the ground state to the first excited state is nonnegligible. However, keep in mind that if P0→1 must still b ...
... In this limit, the perturbation is not adiabatic, as the time-scale over which the perturbation changes is of order the natural time scale of the system. The probability of a transition from the ground state to the first excited state is nonnegligible. However, keep in mind that if P0→1 must still b ...
Effective Field Theories for Topological states of Matter
... The integer topological phases can be understood in terms of non-interacting fermions, which are classified according their dimension and symmetry properties[3, 4]. The classes can be trivial or non-trivial. The latter are characterized by a non-trivial value of a topological index that can either t ...
... The integer topological phases can be understood in terms of non-interacting fermions, which are classified according their dimension and symmetry properties[3, 4]. The classes can be trivial or non-trivial. The latter are characterized by a non-trivial value of a topological index that can either t ...
A Brief Review on Quantum Bit Commitment
... protocol, which was proposed in 1984 by Bennett and Brassard, widely known as BB84 [3], was already a preliminary version of a bit commitment protocol, since the idea was to associate the commitments of 0 and 1 with two complementary observables. In a later paper, a QBC protocol, known as BCJL, was ...
... protocol, which was proposed in 1984 by Bennett and Brassard, widely known as BB84 [3], was already a preliminary version of a bit commitment protocol, since the idea was to associate the commitments of 0 and 1 with two complementary observables. In a later paper, a QBC protocol, known as BCJL, was ...