THE MIRROR CONJECTURE FOR MINUSCULE
... which is a D-module on Z(LP ). A priori Cr(G,P ) is a complex of D-modules, but we show that it is just a D-module. The integral function ψ1 (t) is formally the solution of Cr(G,P ) . More generally, we shall define in (1.14.1) a character D-module Cr(G,P ) (λ) with solution ψλ (t). This article see ...
... which is a D-module on Z(LP ). A priori Cr(G,P ) is a complex of D-modules, but we show that it is just a D-module. The integral function ψ1 (t) is formally the solution of Cr(G,P ) . More generally, we shall define in (1.14.1) a character D-module Cr(G,P ) (λ) with solution ψλ (t). This article see ...
Correlaciones en Mecánica Cuántica
... One of the key features of non-clasicality in a quantum systems is the existence of correlations which don’t have classical counterparts. Such correlations, quantum correlations, are central in the search for understanding and harnessing the power of quantum mechanics applied to information theory, ...
... One of the key features of non-clasicality in a quantum systems is the existence of correlations which don’t have classical counterparts. Such correlations, quantum correlations, are central in the search for understanding and harnessing the power of quantum mechanics applied to information theory, ...
Quantum Annealing with Markov Chain Monte Carlo Simulations
... hardware device built to implement quantum annealing for solving combinatorial optimization problems. Whether D-Wave computing hardware devices display a quantum behavior or can be described by a classical model has attracted tremendous attention, and it remains controversial to determine whether qu ...
... hardware device built to implement quantum annealing for solving combinatorial optimization problems. Whether D-Wave computing hardware devices display a quantum behavior or can be described by a classical model has attracted tremendous attention, and it remains controversial to determine whether qu ...
Quantum gauge theory simulation with ultracold atoms
... system that can be reshaped and adjusted to mimic the behaviour of other many-body systems: ultracold atomic gases in optical lattices act as genuine quantum simulators. The understanding of gauge theories is essential for the description of the fundamental interactions of our physical world. In par ...
... system that can be reshaped and adjusted to mimic the behaviour of other many-body systems: ultracold atomic gases in optical lattices act as genuine quantum simulators. The understanding of gauge theories is essential for the description of the fundamental interactions of our physical world. In par ...
Quantum Scattering Theory and Applications
... working with Rick four years ago and I have learned an immense amount from him in that time. From the very rst time we spoke I have felt not only challenged but respected. One particularly nice aspect of having Rick as an advisor is his ready availability. More than one tricky part of this thesis h ...
... working with Rick four years ago and I have learned an immense amount from him in that time. From the very rst time we spoke I have felt not only challenged but respected. One particularly nice aspect of having Rick as an advisor is his ready availability. More than one tricky part of this thesis h ...
The averaged dynamics of the hydrogen atom in crossed electric
... that a velocity-dependent, Coriolis-like force in Newton’s equations causes the ionization of the electron to exhibit chaotic scattering [MW92, UF95, JFU99]. All these phenomena, as well as renewed interest in the motional Stark effect [JHY83, F94], make the crossed-fields problem an experimental ac ...
... that a velocity-dependent, Coriolis-like force in Newton’s equations causes the ionization of the electron to exhibit chaotic scattering [MW92, UF95, JFU99]. All these phenomena, as well as renewed interest in the motional Stark effect [JHY83, F94], make the crossed-fields problem an experimental ac ...
Quantum Theory, Groups and Representations: An Introduction (under construction) Peter Woit
... 21.1 The metaplectic representation for d = 1 . . . . . . . . . . . . . . 231 21.2 Normal-ordering and the choice of complex structure . . . . . . . 235 21.3 For further reading . . . . . . . . . . . . . . . . . . . . . . . . . . 239 22 The Harmonic Oscillator as a Representation of U (d) 22.1 The m ...
... 21.1 The metaplectic representation for d = 1 . . . . . . . . . . . . . . 231 21.2 Normal-ordering and the choice of complex structure . . . . . . . 235 21.3 For further reading . . . . . . . . . . . . . . . . . . . . . . . . . . 239 22 The Harmonic Oscillator as a Representation of U (d) 22.1 The m ...
IMPRECISE MEASUREMENTS IN QUANTUM MECHANICS
... We conclude that the above framework for states and observables is coherent in the sense that if the representation of the one is given, the representation of the other follows from natural assumptions. Remark 1. The structures of the sets of states and observables have been investigated also in mor ...
... We conclude that the above framework for states and observables is coherent in the sense that if the representation of the one is given, the representation of the other follows from natural assumptions. Remark 1. The structures of the sets of states and observables have been investigated also in mor ...
Factorization algebras and free field theories
... Obsq is no longer a cosheaf of commutative algebras. Instead, it is a factorization algebra, a notion introduced by Beilinson and Drinfeld [BD04] in their work on conformal field theory. Perturbative quantum field theories are rich and subtle objects, and the constructions in [CG], while explicit, c ...
... Obsq is no longer a cosheaf of commutative algebras. Instead, it is a factorization algebra, a notion introduced by Beilinson and Drinfeld [BD04] in their work on conformal field theory. Perturbative quantum field theories are rich and subtle objects, and the constructions in [CG], while explicit, c ...
Effects of Dipolar Fields in NMR and MRI
... branch that every advance in physics is largely due to the developments that preceded it.” Felix Bloch, Nobel Lecture, 1952. A description of the basic physics of NMR will be attempted in terms of quantum mechanical (Section 2.2) and classical approaches (Section 2.3). An insight will be given into ...
... branch that every advance in physics is largely due to the developments that preceded it.” Felix Bloch, Nobel Lecture, 1952. A description of the basic physics of NMR will be attempted in terms of quantum mechanical (Section 2.2) and classical approaches (Section 2.3). An insight will be given into ...
J. Phys. Chem. A 103, 10611-8
... respectively. In the system of study, the field-matter interaction can be described by ...
... respectively. In the system of study, the field-matter interaction can be described by ...
On quantum obfuscation - University of Maryland Institute for
... The last condition can be formulated rigorously in a number of ways. One possibility is the so-called “virtual black-box” condition, which says that the obfuscated program is no more useful than an impenetrable box which simply accepts inputs and produces outputs. While this condition appears to be ...
... The last condition can be formulated rigorously in a number of ways. One possibility is the so-called “virtual black-box” condition, which says that the obfuscated program is no more useful than an impenetrable box which simply accepts inputs and produces outputs. While this condition appears to be ...
Coherent states and projective representation of the linear canonical
... both used a holomorphic representation of the canonical commutation relations. Another approach can be found in Ref. 4. In this latter treatment, however, a certain class of linear transformations cannot be treated by the direct formula, and can only be recovered by taking products oflinear transfor ...
... both used a holomorphic representation of the canonical commutation relations. Another approach can be found in Ref. 4. In this latter treatment, however, a certain class of linear transformations cannot be treated by the direct formula, and can only be recovered by taking products oflinear transfor ...
A unification of photons, electrons, and gravitons under qbit
... ∂t hLl i = hi[H, Ll ]i ∼ ih Bpa − h.c.i → Ė = ∂ × B a=1,..,4 ...
... ∂t hLl i = hi[H, Ll ]i ∼ ih Bpa − h.c.i → Ė = ∂ × B a=1,..,4 ...