The role of Chern Simons theory in solving the fractional quantum
... A vortex is a topological object: the geometrical Berry phase for a closed loop around it is quantized, independent of the details. The composite fermion is therefore also a topological entity. A vortex is often represented as a flux quantum. A composite fermion is sometimes thought of (somewhat ina ...
... A vortex is a topological object: the geometrical Berry phase for a closed loop around it is quantized, independent of the details. The composite fermion is therefore also a topological entity. A vortex is often represented as a flux quantum. A composite fermion is sometimes thought of (somewhat ina ...
Half-integral weight Eichler integrals and quantum modular forms
... To Winnie Li, who has been a great inspiration, on the occasion of her birthday Abstract. In analogy with the classical theory of Eichler integrals for integral weight modular forms, Lawrence and Zagier considered examples of Eichler integrals of certain half-integral weight modular forms. These ser ...
... To Winnie Li, who has been a great inspiration, on the occasion of her birthday Abstract. In analogy with the classical theory of Eichler integrals for integral weight modular forms, Lawrence and Zagier considered examples of Eichler integrals of certain half-integral weight modular forms. These ser ...
Primitive ontology and quantum state in the GRW matter density theory
... subdivides the first option into two proposals depending on the kind of object that one takes the quantum state to be. Its mathematical representation clearly suggests that it is some kind of field, but it is equally clear that it cannot be an ordinary field on three-dimensional space or four-dimens ...
... subdivides the first option into two proposals depending on the kind of object that one takes the quantum state to be. Its mathematical representation clearly suggests that it is some kind of field, but it is equally clear that it cannot be an ordinary field on three-dimensional space or four-dimens ...
Limits of time in cosmology
... has been to provide a discussion of this kind. The standard definition of the global time coordinate to which Peacock refers – and, in general, the question of how to make the t-time identification – can be read in at least two different ways: 1) Actual clocks should be available (operationalism); o ...
... has been to provide a discussion of this kind. The standard definition of the global time coordinate to which Peacock refers – and, in general, the question of how to make the t-time identification – can be read in at least two different ways: 1) Actual clocks should be available (operationalism); o ...
Supercurrent through a multilevel quantum dot - FU Berlin
... phase transition as well as the corresponding lineshapes and parameter dependencies of the current, are just as they are in a single-level case, the magnitude of J changes discontinuously at B = t in one of the phases. This indicates an additional firstorder (singlet-triplet) quantum phase transitio ...
... phase transition as well as the corresponding lineshapes and parameter dependencies of the current, are just as they are in a single-level case, the magnitude of J changes discontinuously at B = t in one of the phases. This indicates an additional firstorder (singlet-triplet) quantum phase transitio ...
Quantum Theory: a Pragmatist Approach
... person holding it. If so, even the arch subjectivist de Finetti here adopts a natural property account of probability! Of course, he would insist that different persons may, and often do, hold different beliefs, which makes probability personalist—varying from person to person—and to that extent su ...
... person holding it. If so, even the arch subjectivist de Finetti here adopts a natural property account of probability! Of course, he would insist that different persons may, and often do, hold different beliefs, which makes probability personalist—varying from person to person—and to that extent su ...
Simultaneous Spin-Charge Relaxation in Double Quantum Dots
... Ref. [43]) by writing eikr 1 þ ik r and determining the corresponding matrix element of the dipole operator d ¼ er (here, e denotes the magnitude of the electron charge). To evaluate dipole matrix elements, we define Gaussian wave functions c LðRÞ ðrÞ hrjLðRÞi which are shifted along the dot ...
... Ref. [43]) by writing eikr 1 þ ik r and determining the corresponding matrix element of the dipole operator d ¼ er (here, e denotes the magnitude of the electron charge). To evaluate dipole matrix elements, we define Gaussian wave functions c LðRÞ ðrÞ hrjLðRÞi which are shifted along the dot ...
On the role of the electron-electron interaction in two-dimensional
... good convergence only feasible for even fewer particles [36]. The different varieties of the quantum Monte Carlo methods are very powerful and yield virtually exact results. However, only the state with the lowest energy for each given symmetry is easily obtained and there is no straightforward way ...
... good convergence only feasible for even fewer particles [36]. The different varieties of the quantum Monte Carlo methods are very powerful and yield virtually exact results. However, only the state with the lowest energy for each given symmetry is easily obtained and there is no straightforward way ...
Graph Coloring with Quantum Heuristics
... the Walsh transform [2, 15] and hence + even though they involve exponentially many states. Using Eq. 2 shows the mixing matrix element + I for two states W and has the form I , i.e., depends only on the distance between the ...
... the Walsh transform [2, 15] and hence + even though they involve exponentially many states. Using Eq. 2 shows the mixing matrix element + I for two states W and has the form I , i.e., depends only on the distance between the ...
Introduction to quantum and solid state physics for
... The wave equation is linear (no ψ 2 (x, t) or any of its derivatives) and therefore if ψ1 and ψ2 are solutions to the equation, then ψ = A1 ψ1 + A2 ψ2 is also a solution, with A1 , A2 arbitrary constants. This is the same principle of superposition which appears in Maxwell’s equations (which are als ...
... The wave equation is linear (no ψ 2 (x, t) or any of its derivatives) and therefore if ψ1 and ψ2 are solutions to the equation, then ψ = A1 ψ1 + A2 ψ2 is also a solution, with A1 , A2 arbitrary constants. This is the same principle of superposition which appears in Maxwell’s equations (which are als ...
Quantum Symmetric States - UCLA Department of Mathematics
... To investigate QSS(A) as a compact, convex subset of S(A), to characterize its extreme points and to study certain convex subsets: • the tracial quantum symmetric states TQSS(A) = QSS(A) ∩ T S(A) • the central quantum symmetric states ZQSS(A) = {ψ ∈ QSS(A) | Tψ ⊆ Z(Mψ )} • the tracial central quantu ...
... To investigate QSS(A) as a compact, convex subset of S(A), to characterize its extreme points and to study certain convex subsets: • the tracial quantum symmetric states TQSS(A) = QSS(A) ∩ T S(A) • the central quantum symmetric states ZQSS(A) = {ψ ∈ QSS(A) | Tψ ⊆ Z(Mψ )} • the tracial central quantu ...
Quantum Mechanics
... 6.2 Calculating ψk (x) . . . . . . . . . . . . . . . . . . . . 6.3 Approximate solution of fk . . . . . . . . . . . . . . . . 6.3.1 The Born approximation . . . . . . . . . . . . . 6.3.2 Beyond Born approximation . . . . . . . . . . . 6.4 Optical theorem . . . . . . . . . . . . . . . . . . . . . . 6 ...
... 6.2 Calculating ψk (x) . . . . . . . . . . . . . . . . . . . . 6.3 Approximate solution of fk . . . . . . . . . . . . . . . . 6.3.1 The Born approximation . . . . . . . . . . . . . 6.3.2 Beyond Born approximation . . . . . . . . . . . 6.4 Optical theorem . . . . . . . . . . . . . . . . . . . . . . 6 ...
a pedagogical / historical introduction (D. Downes)
... 1-mJy source at 3mm collect only 30 photons/sec. So there is no way we can recognize that an individual photon comes from the sky. The ...
... 1-mJy source at 3mm collect only 30 photons/sec. So there is no way we can recognize that an individual photon comes from the sky. The ...
Bell's theorem
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Bell's theorem is a ‘no-go theorem’ that draws an important distinction between quantum mechanics (QM) and the world as described by classical mechanics. This theorem is named after John Stewart Bell.In its simplest form, Bell's theorem states:Cornell solid-state physicist David Mermin has described the appraisals of the importance of Bell's theorem in the physics community as ranging from ""indifference"" to ""wild extravagance"". Lawrence Berkeley particle physicist Henry Stapp declared: ""Bell's theorem is the most profound discovery of science.""Bell's theorem rules out local hidden variables as a viable explanation of quantum mechanics (though it still leaves the door open for non-local hidden variables). Bell concluded:Bell summarized one of the least popular ways to address the theorem, superdeterminism, in a 1985 BBC Radio interview: