The Experts below are selected from a list of 6189 Experts worldwide ranked by ideXlab platform
Massimo Blasone - One of the best experts on this subject based on the ideXlab platform.
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generalized generating functional for mixed representation green s functions coherent state path integral representation
Journal of Physics: Conference Series, 2018Co-Authors: Massimo Blasone, Petr Jizba, Luca SmaldoneAbstract:The aim of this paper is to study mixed-representation Green's functions from the point of view of coherent-state path integrals. This is achieved by using the machinery of generalized generating functionals of Green's functions, previously introduced by the present authors in the context of standard phase-pace path integrals. The obtained results are illustrated in the context of the Linear Harmonic Oscillator.
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bateman s dual system revisited quantization geometric phase and relation with the ground state energy of the Linear Harmonic Oscillator
Annals of Physics, 2004Co-Authors: Massimo Blasone, Petr JizbaAbstract:By using the Feynman–Hibbs prescription for the evolution amplitude, we quantize the system of a damped Harmonic Oscillator coupled to its time–reversed image, known as Bateman’s dual system. The time–dependent quantum states of such a system are constructed and discussed entirely in the framework of the classical theory. The corresponding geometric (Pancharatnam) phase is calculated and found to be directly related to the ground–state energy of the 1D Linear Harmonic Oscillator to which the 2D system reduces under appropriate constraint.
Pasquale Bosso - One of the best experts on this subject based on the ideXlab platform.
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relativistic generalized uncertainty principle
Annals of Physics, 2019Co-Authors: Vasil Todorinov, Pasquale BossoAbstract:Abstract The Generalized Uncertainty Principle and the related minimum length are normally considered in non-relativistic Quantum Mechanics. Extending it to relativistic theories is important for having a Lorentz invariant minimum length and for testing the modified Heisenberg principle at high energies. In this paper, we formulate a relativistic Generalized Uncertainty Principle. We then use this to write the modified Klein–Gordon, Schrodinger and Dirac equations, and compute quantum gravity corrections to the relativistic hydrogen atom, particle in a box, and the Linear Harmonic Oscillator.
Petr Jizba - One of the best experts on this subject based on the ideXlab platform.
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generalized generating functional for mixed representation green s functions coherent state path integral representation
Journal of Physics: Conference Series, 2018Co-Authors: Massimo Blasone, Petr Jizba, Luca SmaldoneAbstract:The aim of this paper is to study mixed-representation Green's functions from the point of view of coherent-state path integrals. This is achieved by using the machinery of generalized generating functionals of Green's functions, previously introduced by the present authors in the context of standard phase-pace path integrals. The obtained results are illustrated in the context of the Linear Harmonic Oscillator.
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bateman s dual system revisited quantization geometric phase and relation with the ground state energy of the Linear Harmonic Oscillator
Annals of Physics, 2004Co-Authors: Massimo Blasone, Petr JizbaAbstract:By using the Feynman–Hibbs prescription for the evolution amplitude, we quantize the system of a damped Harmonic Oscillator coupled to its time–reversed image, known as Bateman’s dual system. The time–dependent quantum states of such a system are constructed and discussed entirely in the framework of the classical theory. The corresponding geometric (Pancharatnam) phase is calculated and found to be directly related to the ground–state energy of the 1D Linear Harmonic Oscillator to which the 2D system reduces under appropriate constraint.
Fox, Rodney O. - One of the best experts on this subject based on the ideXlab platform.
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QBMMlib: A library of quadrature-based moment methods
2020Co-Authors: Bryngelson, Spencer H., Colonius Tim, Fox, Rodney O.Abstract:QBMMlib is an open source Mathematica package of quadrature-based moment methods and their algorithms. Such methods are commonly used to solve fully-coupled disperse flow and combustion problems, though formulating and closing the corresponding governing equations can be complex. QBMMlib aims to make analyzing these techniques simple and more accessible. Its routines use symbolic manipulation to formulate the moment transport equations for a population balance equation and a prescribed dynamical system. However, the resulting moment transport equations are unclosed. QBMMlib trades the moments for a set of quadrature points and weights via an inversion algorithm, of which several are available. Quadratures then closes the moment transport equations. Embedded code snippets show how to use QBMMlib, with the algorithm initialization and solution spanning just 13 total lines of code. Examples are shown and analyzed for Linear Harmonic Oscillator and bubble dynamics problems
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QBMMlib: A library of quadrature-based moment methods
'Elsevier BV', 2020Co-Authors: Bryngelson, Spencer H., Colonius Tim, Fox, Rodney O.Abstract:QBMMlib is an open source package of quadrature-based moment methods and their algorithms. Such methods are commonly used to solve fully-coupled disperse flow and combustion problems, though formulating and closing the corresponding governing equations can be complex. QBMMlib aims to make analyzing these techniques simple and more accessible. Its routines use symbolic manipulation to formulate the moment transport equations for a population balance equation and a prescribed dynamical system. The resulting moment transport equations are closed by first trading the moments for a set of quadrature points and weights via an inversion algorithm, of which several are available. Quadratures then compute the moments required for closure. Embedded code snippets show how to use QBMMlib, with the algorithm initialization and solution spanning just 13 total lines of code. Examples are shown and analyzed for a Linear Harmonic Oscillator and a bubble dynamics problem
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QBMMlib: A library of quadrature-based moment methods
2020Co-Authors: Bryngelson, Spencer H., Colonius Tim, Fox, Rodney O.Abstract:QBMMlib is an open source Mathematica package of quadrature-based moment methods and their algorithms. Such methods are commonly used to solve fully-coupled disperse flow and combustion problems, though formulating and closing the corresponding governing equations can be complex. QBMMlib aims to make analyzing these techniques simple and more accessible. Its routines use symbolic manipulation to formulate the moment transport equations for a population balance equation and a prescribed dynamical system. However, the resulting moment transport equations are unclosed. QBMMlib trades the moments for a set of quadrature points and weights via an inversion algorithm, of which several are available. Quadratures then closes the moment transport equations. Embedded code snippets show how to use QBMMlib, with the algorithm initialization and solution spanning just 13 total lines of code. Examples are shown and analyzed for Linear Harmonic Oscillator and bubble dynamics problems.Comment: Under review Software
Bryngelson, Spencer H. - One of the best experts on this subject based on the ideXlab platform.
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QBMMlib: A library of quadrature-based moment methods
2020Co-Authors: Bryngelson, Spencer H., Colonius Tim, Fox, Rodney O.Abstract:QBMMlib is an open source Mathematica package of quadrature-based moment methods and their algorithms. Such methods are commonly used to solve fully-coupled disperse flow and combustion problems, though formulating and closing the corresponding governing equations can be complex. QBMMlib aims to make analyzing these techniques simple and more accessible. Its routines use symbolic manipulation to formulate the moment transport equations for a population balance equation and a prescribed dynamical system. However, the resulting moment transport equations are unclosed. QBMMlib trades the moments for a set of quadrature points and weights via an inversion algorithm, of which several are available. Quadratures then closes the moment transport equations. Embedded code snippets show how to use QBMMlib, with the algorithm initialization and solution spanning just 13 total lines of code. Examples are shown and analyzed for Linear Harmonic Oscillator and bubble dynamics problems
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QBMMlib: A library of quadrature-based moment methods
'Elsevier BV', 2020Co-Authors: Bryngelson, Spencer H., Colonius Tim, Fox, Rodney O.Abstract:QBMMlib is an open source package of quadrature-based moment methods and their algorithms. Such methods are commonly used to solve fully-coupled disperse flow and combustion problems, though formulating and closing the corresponding governing equations can be complex. QBMMlib aims to make analyzing these techniques simple and more accessible. Its routines use symbolic manipulation to formulate the moment transport equations for a population balance equation and a prescribed dynamical system. The resulting moment transport equations are closed by first trading the moments for a set of quadrature points and weights via an inversion algorithm, of which several are available. Quadratures then compute the moments required for closure. Embedded code snippets show how to use QBMMlib, with the algorithm initialization and solution spanning just 13 total lines of code. Examples are shown and analyzed for a Linear Harmonic Oscillator and a bubble dynamics problem
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QBMMlib: A library of quadrature-based moment methods
2020Co-Authors: Bryngelson, Spencer H., Colonius Tim, Fox, Rodney O.Abstract:QBMMlib is an open source Mathematica package of quadrature-based moment methods and their algorithms. Such methods are commonly used to solve fully-coupled disperse flow and combustion problems, though formulating and closing the corresponding governing equations can be complex. QBMMlib aims to make analyzing these techniques simple and more accessible. Its routines use symbolic manipulation to formulate the moment transport equations for a population balance equation and a prescribed dynamical system. However, the resulting moment transport equations are unclosed. QBMMlib trades the moments for a set of quadrature points and weights via an inversion algorithm, of which several are available. Quadratures then closes the moment transport equations. Embedded code snippets show how to use QBMMlib, with the algorithm initialization and solution spanning just 13 total lines of code. Examples are shown and analyzed for Linear Harmonic Oscillator and bubble dynamics problems.Comment: Under review Software