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 ...
... 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 ...
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... 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 ...
... 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
... 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 ...
... 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 ...
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 ...
... 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 ...
***** 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 ...
... 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 ...
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 ...
... 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 ...
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 ...
... 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 ...
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, ...
... 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, ...
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 ...
... 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
... 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 ...
... 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
... 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 ...
... 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 ...
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 ...
... 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 ...
