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Some beautiful equations of mathematical physics
Some beautiful equations of mathematical physics

Unitary time evolution
Unitary time evolution

... quantum system, there is no way to tell in what state |ψi it was prepared. If the state |ψi is known, the state can be “copied” by preparing another system. But it is impossible to copy an unknown quantum state. This means that many techniques of classical information theory (such as protecting info ...
ON THE GENERAL FORM OF QUANTUM STOCHASTIC
ON THE GENERAL FORM OF QUANTUM STOCHASTIC

Quantum factorization of 56153 with only 4 qubits
Quantum factorization of 56153 with only 4 qubits

... et al. [1] in 2012 factored an entire class of numbers, and not just the one number that they reported (which was 143). The largest such number that we found without using any prior knowledge of the solution to the factorization problem was 56153. Since the experiment in [1] only involved 4 qubits, ...
The beauty of string theory - Institute for Advanced Study
The beauty of string theory - Institute for Advanced Study

... explains beta decay and the associated radioactivity. It also describes how elementary particles can change into other particles with different energies and masses. ...
A Complete Characterization of Unitary Quantum Space
A Complete Characterization of Unitary Quantum Space

references - StealthSkater
references - StealthSkater

STM Physical Backgrounds - NT-MDT
STM Physical Backgrounds - NT-MDT

BernTalk
BernTalk

... — gravity as the square of YM. Not as well understood as we would like. Crucial for understanding gravity. • Interface of string theory and field theory– certain features clearer in string theory, especially at tree level. KLT classic example. • Can we carry over Berkovits string theory pure spinor ...
URL - StealthSkater
URL - StealthSkater

... corrections in space-time geometry among other things. The existence of Riemann connection forces already in the case loop spaces a unique Kahler metric. Same is expected to occur now and is expected also to force imbedding space (M4xCP2 by physical constraints) to be highly unique. Essentially a un ...
chapterS4BuildingBlo..
chapterS4BuildingBlo..

... apply thermal pressure that depends on the temperature inside the balloon • Most stars are supported by thermal pressure ...
“Elegant Universe” Part One “Einstein`s Dream”
“Elegant Universe” Part One “Einstein`s Dream”

... c. The dark force (made up to explain the mass that must exist to drive expansion) d. The weak force (allows neutrons to turn into protons and give off radiation) 12. _____ Black holes were first proposed in 1916… these would “warp the fabric of space – time” so that nothing, not even light, could e ...
dark energy stars - at www.arxiv.org.
dark energy stars - at www.arxiv.org.

... breaks down, and one needs new physics to describe the transition from the interioir to the exterior. From the point of view of GR this transition layer must have unusual properties in order to support large stresses. However, it appears that these objects can be mechanically stable [3]. In the supe ...
Symplectic Geometry and Geometric Quantization
Symplectic Geometry and Geometric Quantization

... on the symplectic manifold modelling the classical phase space-, one would like the associated quantum system to form a unitary representation of this group. If the action is transitive, this representation should be irreducible. The latter condition reflects the constraint that the quantization of ...
Chapter 9 review
Chapter 9 review

Theory of the Topological Anderson Insulator
Theory of the Topological Anderson Insulator

... and a 2  2 unit matrix 0 ), acting on a pair of spin-orbit coupled degrees of freedom from conduction and valence bands. The complex conjugate H  acts on the opposite spin. We assume time reversal symmetry (no magnetic field or magnetic impurities) and neglect any coupling between the two spin bl ...
Atom: Program 3 - Educational Resource Guide
Atom: Program 3 - Educational Resource Guide

chapterS4BuildingBlo..
chapterS4BuildingBlo..

... apply thermal pressure that depends on the temperature inside the balloon • Most stars are supported by thermal pressure ...
10. Quantum Mechanics Part II
10. Quantum Mechanics Part II

... emphatically that “this is all nonsense”. Einstein rose from the audience (remember he was still only at Prague – not Berlin and not yet a Nobel laureate) and ...
Path integral approach to the heat kernel 1 Introduction
Path integral approach to the heat kernel 1 Introduction

... of ambiguous Feynman diagrams. As we have seen, Feynman diagrams correspond to integrations of various propagators joined at vertices with some factors and/or derivatives. The propagators correspond in general to distributions which cannot always be multiplied legally together: they produce ambiguit ...
Integrable Systems: An Overview Preamble. The following pages
Integrable Systems: An Overview Preamble. The following pages

Echoes of the Early Universe
Echoes of the Early Universe

Optical implementation of the Quantum Box Problem
Optical implementation of the Quantum Box Problem

Quantum Moduli Spaces 1 Introduction
Quantum Moduli Spaces 1 Introduction

E + - IPAM
E + - IPAM

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Canonical quantum gravity

In physics, canonical quantum gravity is an attempt to quantize the canonical formulation of general relativity (or canonical gravity). It is a Hamiltonian formulation of Einstein's general theory of relativity. The basic theory was outlined by Bryce DeWitt in a seminal 1967 paper, and based on earlier work by Peter G. Bergmann using the so-called canonical quantization techniques for constrained Hamiltonian systems invented by Paul Dirac. Dirac's approach allows the quantization of systems that include gauge symmetries using Hamiltonian techniques in a fixed gauge choice. Newer approaches based in part on the work of DeWitt and Dirac include the Hartle–Hawking state, Regge calculus, the Wheeler–DeWitt equation and loop quantum gravity.
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