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Quantum field theory on a quantum space
Quantum field theory on a quantum space

... We have recently found, in closed form, the space of physical states corresponding to spherically symmetric vacuum space-times in loop quantum gravity. We wish to consider the quantization of a test scalar fields on such quantum space-times. The idea will be to represent the matter part of the Hamil ...


Anmeldeformular für Email
Anmeldeformular für Email

... Since classical physics is described in phase space and quantum mechanics in Hilbert space a unified picture is desired. This is provided, for instance, by the so called Wigner function (WF), which has remarkable properties: It transform s the wave function of a quantum mechanical particle (or the d ...
Document
Document

... In mechanics and field theory (both classical and quantum), there are two main languages - Lagrangian and Hamiltonian. In the classical setting, the Lagrangian language is the language of vari-ational calculus (i.e. one studies extremals of the action functional), while the Hamiltonian language is t ...
Geometry, Physics, and Representation Theory Traces of intertwiners for quantum affine and
Geometry, Physics, and Representation Theory Traces of intertwiners for quantum affine and

Planck`s Law and Light Quantum Hypothesis.
Planck`s Law and Light Quantum Hypothesis.

... that is, the relation between the radiation density and the mean energy of an oscillator, and they make assumptions about the number of degrees of freedom of the ether, which appear in the above formula (the first factor on the right– hand side). This factor, however, can be derived only from classi ...
Nonlincourse13
Nonlincourse13

***** 1
***** 1

... theory, we expect that the wave function has to obey some Schrödinger equation. Only after derivation the Schrödinger equation from the path integral by the well-known standard procedure that one can investigate the question if there exist any conditions which would ensure gauge invariance. Since as ...
Action-Angle Variables
Action-Angle Variables

Canonical Quantization
Canonical Quantization

ppt
ppt

... Finally, we can connect everything we know about commutators and the Dirac’s quantum condition and obtain the most fundamental property of the Quantum World For a state that is not an eigenstate of Aˆ , we get various possible results everytime we measure the observable Aˆ in identical systems. A me ...
Problem set 7
Problem set 7

Syllabus : Advanced Quantum Mechanics (Prof
Syllabus : Advanced Quantum Mechanics (Prof

... Introduction to Quantum Field Theory by S.J. Chang (World Scientific ISBN 9971506815) Quantum Field Theory (Revised Edition) by F. Mandl and G. Shaw (Wiley ISBN 0-471-94186-7) This graduate level course is an introduction to quantum field theory using canonical quantization. The emphasis is on the a ...
Forget about particles. What equations govern the fields? What are the fields?
Forget about particles. What equations govern the fields? What are the fields?

slides
slides

... ansatz for the three geometry we considered is general enough to include this metric, so we can also use it for the interior. The Gauss and diffeomorphism constraints read as before, ...
Thesis Presentation Mr. Joshuah T. Heath Department of Physics
Thesis Presentation Mr. Joshuah T. Heath Department of Physics

Canonical quantum gravity
Canonical quantum gravity

... We have developed the tools to treat these kinds of theories canonically. Since time is discrete, it does not make sense to have a Hamiltonian. Time evolution is implemented through a finite canonical transformation that takes the system from n to n+1. Quantization is done by implementing the canoni ...
Riemannian method in quantum field theory about curved space-time
Riemannian method in quantum field theory about curved space-time

... states which are realized by measurable function concentrated on V~. There is further defined a positive semidefinite operator H s acting on this Hilbert space Fs, and which is interpreted as the one-particle Hamiltonian at the instant Vs. Indeed, having at hand such a procedure one can do the follo ...
Minimal separable quantizations of Stäckel systems
Minimal separable quantizations of Stäckel systems

... of separability of classical Hamilton-Jacobi equation associated with (1)) This assumption it leads to severe limitations on the process of quantization of (1). I this talk I …rst explain the notion of minimal quantization and its relation to the more general quantization theory developed recently i ...
CLASSICAL-QUANTUM CORRESPONDENCE AND WAVE PACKET SOLUTIONS OF THE DIRAC
CLASSICAL-QUANTUM CORRESPONDENCE AND WAVE PACKET SOLUTIONS OF THE DIRAC

Lecture notes for FYS610 Many particle Quantum Mechanics
Lecture notes for FYS610 Many particle Quantum Mechanics



Outline Summary
Outline Summary

... introduced by Einstein in 1905 is presented, to be followed by Einstein’s interpretation of the force of gravity as simply a curvature in this space time. This general theory of relativity then leads to a cosmological model of an expanding universe that finds its origin in a “big bang” that took pla ...
PDF
PDF

SCHRÖDINGER EQUATION FOR A PARTICLE ON A CURVED SPACE AND SUPERINTEGRABILITY
SCHRÖDINGER EQUATION FOR A PARTICLE ON A CURVED SPACE AND SUPERINTEGRABILITY

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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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