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Quantum field theory in de Sitter spacetime
Quantum field theory in de Sitter spacetime

... theory, we proceed to discuss the quantum field theory in curved spacetime, more specifically in de Sitter spacetime. We try to understand the ambiguity in the choice of vacuum in the curved spacetime and in the process, present a brief description of the Bogoliubov transformations. Further, we desc ...
A conformal field theory approach to the fractional quantum Hall
A conformal field theory approach to the fractional quantum Hall

... motion, the wave function once again acquires the same phase θ. However, the original wave function has to be retrieved in this case, so there is the constraint 2θ = 2nπ, where n is an integer. The two possible solutions modulo 2π correspond to the fermionic and bosonic cases, fermions have θ = π an ...
Diamagnetic Screening of Transverse Current
Diamagnetic Screening of Transverse Current

... electrons in a metal. Neutron with nuclear spin 1/2 probes the magnetic field in a solid, which is fluctuating, generally, in space and time. This fluctuating field induces fluctuating current, and vice versa: the fluctuating magnetic field arises from the spontaneous motion of charged particles. As ...
introduction to quantum field theory
introduction to quantum field theory

Computational power of quantum many
Computational power of quantum many

... show that this problem occurs for the dramatic majority of all pure states. The second part of the thesis is concerned with discrete quantum phase spaces. We prove that the only pure states to possess a non-negative Wigner function are stabilizer states. The result can be seen as a finite-dimensiona ...
Anatomy of quantum chaotic eigenstates
Anatomy of quantum chaotic eigenstates

... dynamical systems we will focus on (mostly geodesic flows and maps on the 2dimensional torus), mentioning their degree of “chaos”. We also sketch the quantization procedures leading to quantum Hamiltonians or propagators, whose eigenstates we want to understand. We also mention some properties of th ...
The Quantum Perspective of Learing
The Quantum Perspective of Learing

... The primary concepts of quantum mechanics provide background for understanding QL. While quantum mechanics is complex when seen through the eyes of a quantum physicist, the foundational elements which make up quantum mechanics can be readily understood. This understanding begins with the word quantu ...
Impact of Spin-Orbit Coupling on Quantum Hall
Impact of Spin-Orbit Coupling on Quantum Hall

Quantum Gravity : Motivations and Alternatives 1
Quantum Gravity : Motivations and Alternatives 1

Slide presentation from lecture
Slide presentation from lecture

... • Much faster than a regular computer for some problems • Use superpositions to represent all numbers at once • Catch is, only get one random output at a time • Shor showed how to use this to factor big numbers very quickly ...
Dynamical Aspects of Information Storage in Quantum
Dynamical Aspects of Information Storage in Quantum

... information-processing system (computer). However, because any quantum computer realized in a laboratory will necessarily be subject to the combined influence of environmental noise and unavoidable imprecisions in the preparation, manipulation, and measurement of quantum-mechanical states, reliable ...
The Quantum IO Monad - School of Computer Science
The Quantum IO Monad - School of Computer Science

Holographic quantum error-correcting code
Holographic quantum error-correcting code

Multiscale theory of finite-size Bose systems: Implications for collective
Multiscale theory of finite-size Bose systems: Implications for collective

... of others responding to the first兲. For identical quantum particles the latter quasiparticle excitations are not identifiable with a specific particle. In contrast to these global processes, short-scale ones reflect close encounters of particles related to the interparticle potential. For fermions, ...
COMPUTING QUANTUM PHASE TRANSITIONS PREAMBLE
COMPUTING QUANTUM PHASE TRANSITIONS PREAMBLE

... Let us now discuss the basic properties of phase transitions that result from the Landau free energy [1]. If the coefficient r is sufficiently large, the minimum of FL is located at m = 0, i.e., the system is in the disordered phase. In contrast, for sufficiently small (negative) r, the minimum is ...
RelativityWorkbook-Teacher
RelativityWorkbook-Teacher

Fast Field Cycling NMR Relaxometry
Fast Field Cycling NMR Relaxometry

... Do we truly understand the Magnetic Resonance phenomenon ? Not quite! But to teach it, we select for any given situation ...
Mathematical Principles of Theoretical Physics
Mathematical Principles of Theoretical Physics

PPT - Fernando Brandao
PPT - Fernando Brandao

... processes/operations available. Entanglement theory is an instance of such paradigm. ...
CHAPTER 6: Quantum Mechanics II
CHAPTER 6: Quantum Mechanics II

The uncertainty relations in quantum mechanics
The uncertainty relations in quantum mechanics

... the fact that the position and the momentum of the electron cannot be simultaneously defined in the microscope experiment (‘Addition in proof’ in Heisenberg1) and we need to consider both the particle theory and the wave theory. On the other hand, Bohr has always defended the uncertainty relations a ...
Wave properties of particles
Wave properties of particles

... The smallness of h in the relation l = h/p makes wave characteristic of particles hard to be observed The statement that when h  0, l becomes vanishingly small means that the wave nature will becomes effectively ``shut-off’’ and there would appear to loss its wave nature whenever the relevant scale ...
Using JCP format
Using JCP format

... consists of a series of classical canonical transformations, was applied to a classical Hamiltonian. The resulting resonance Hamiltonian was then quantized according to approximate quantization rules, such as that due to Weyl, in order to study the molecular eigenstates. In this paper we show that o ...
Slide 1
Slide 1

Quantum Theory of Molecular Magnetism - cond
Quantum Theory of Molecular Magnetism - cond

... polyoxometalate {Mo72 Fe30 } [14] contains 30 iron ions of spin s = 5/2. Although these materials appear as macroscopic samples, i. e. crystals or powders, the intermolecular magnetic interactions are utterly negligible as compared to the intra-molecular interactions. Therefore, measurements of thei ...
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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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