APS Division of Atomic, Molecular and Optical Physics Meeting Abstracts, Mar 1, 2010
In nucleation, position dependent mass (PDM) Hamiltonian has not been analyzed because of the pot... more In nucleation, position dependent mass (PDM) Hamiltonian has not been analyzed because of the potentially foundational questions it raises. Further, the quantum effects exhibited in this system have been well established. Thus, nucleation provides an interesting template to investigate quantum effects exhibited in macroscopic systems. We will approach our problem from two different perspectives. First, starting from first principles (ab initio), we will present a microscopic description of nucleation arriving at a final quantum mechanical Hamiltonian. Subsequently, we will introduce the topic of rules of quantization with an emphasis on the Weyl transform. Surprisingly, our ab initio microscopic treatment is equivalent to that of Weyl quantization thus revealing a 1:1 correspondence between quantum and classical representation methods.
It is our aim to lay the groundwork for the representation of macroscopic systems that exhibit qu... more It is our aim to lay the groundwork for the representation of macroscopic systems that exhibit quantum effects. Underlying this work is a class of systems, which, when using Dirac Quantization, do not exhibit a 1:1 mapping between classical functions and operators. The inability to uniquely assign an operator in quantum space to a classical function is particularly interesting to
Submitted for the DAMOP10 Meeting of The American Physical Society Microscopic Treatment in Nucle... more Submitted for the DAMOP10 Meeting of The American Physical Society Microscopic Treatment in Nucleation KARLA GALDAMEZ, University of Massachusetts Boston — In nucleation, position dependent mass (PDM) Hamiltonian has not been analyzed because of the potentially foundational questions it raises. Further, the quantum effects exhibited in this system have been well established. Thus, nucleation provides an interesting template to investigate quantum effects exhibited in macroscopic systems. We will approach our problem from two different perspectives. First, starting from first principles (ab initio), we will present a microscopic description of nucleation arriving at a final quantum mechanical Hamiltonian. Subsequently, we will introduce the topic of rules of quantization with an emphasis on the Weyl transform. Surprisingly, our ab initio microscopic treatment is equivalent to that of Weyl quantization thus revealing a 1:1 correspondence between quantum and classical representation me...
A microscopic treatment of nucleation for a three dimensional system was previously presented in ... more A microscopic treatment of nucleation for a three dimensional system was previously presented in which we showed an equivalence between the resulting quantum Hamiltonian and that which is obtained from Weyl quantization, [1]. We now utilize the same procedure on one and two dimensional systems with the goal to again show an identification between Weyl quantization and a microscopic approach to quantization. We hypothesize that there are system characteristics such as density and size that make these similarities possible. Our aim is to attain a greater understanding of the particular traits of systems that lead to an equivalence between Weyl's procedure and that of our microscopic approach. We expect that our results will also be applicable to lower dimensional fluids where the ordering of operators in momentum and position may be at question.[4pt] [1] K. Galdamez. Division of Atomic, Molecular and Optical Physics, Microscopic Treatment of Nucleation, 2010, Poster Presentation.
Cosmos and history: the journal of natural and social philosophy, 2017
Photon-rhodopsin interaction is investigated within the context of information transfer at a dist... more Photon-rhodopsin interaction is investigated within the context of information transfer at a distance. John von Neumann's idea of wave function collapse (WFC) forms the framework for the process of information transfer via a single light quanta along with human intention between pairs. Mathematical formalism relating to the density matrix is studied to distinguish the collapse phenomena from absorption and decoherence thus isolating more clearly the possible dynamics of a photon wave function via intention. Our main hypothesis consists on the assumption that the interaction of distant intention and photon-rhodopsin pair will result in a swift from a simple and straight forward absorption process to that of a single entry in the density matrix representation thus leading to case of wave function collapse (WFC). Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-ts...
The hypothesis of wave function collapse introduced by John von Neumann is explored as a primary ... more The hypothesis of wave function collapse introduced by John von Neumann is explored as a primary potential mechanism for non-local information transfer between brain to brain communication. The measured effect corresponds to significant p-values encountered in the evoked potential differences within the two subject conditions presented of Relax and Concentrate. The most significant p-value for the 100 ms photon pulse length preparation renders a 0.006 result between the two conditions associated to the Oz sector. The collapse mechanism is associated to the remote mental subject influence upon subject receiving photon stimulation which is shown to be positively significant and which constitutes a primary unit effect for the investigation of mechanism associated to information transfer at a distance between subjects.
In nucleation, position dependent mass (PDM) Hamiltonian has not been analyzed because of the pot... more In nucleation, position dependent mass (PDM) Hamiltonian has not been analyzed because of the potentially foundational questions it raises. Further, the quantum effects exhibited in this system have been well established. Thus, nucleation provides an interesting template to investigate quantum effects exhibited in macroscopic systems. We will approach our problem from two different perspectives. First, starting from first principles (ab initio), we will present a microscopic description of nucleation arriving at a final quantum mechanical Hamiltonian. Subsequently, we will introduce the topic of rules of quantization with an emphasis on the Weyl transform. Surprisingly, our ab initio microscopic treatment is equivalent to that of Weyl quantization thus revealing a 1:1 correspondence between quantum and classical representation methods.
During the period from 1985 through 1990, Pluto and its satellite Charon underwent a series of tr... more During the period from 1985 through 1990, Pluto and its satellite Charon underwent a series of transits, eclipses, and occultations, which are collectively called ``mutual events.'' The albedo distribution of Pluto's sub-Charon hemisphere can be determined from these events with a spatial resolution that surpasses any current direct-imaging schemes. We use an iterative technique to determine a map of Pluto's sub-Charon hemisphere with resolutions down to 200 km in some areas. This map resolves a localized bright feature that may be due to condensation around a geyser or in a crater.
It is our aim to lay the groundwork for the representation of macroscopic systems that exhibit qu... more It is our aim to lay the groundwork for the representation of macroscopic systems that exhibit quantum effects. Underlying this work is a class of systems, which, when using Dirac Quantization, do not exhibit a 1:1 mapping between classical functions and operators. The inability to uniquely assign an operator in quantum space to a classical function is particularly interesting to us because it gives rise to foundational problems in Quantum Mechanics. Typically, these problems have been analyzed using a Position Dependent Mass Hamiltonian (PDM). However, in one of them, nucleation, PDM has not been applied in particular because of the foundational questions it raises. Further, the quantum effects exhibited during nucleation have been well established. Thus, in a re-conceived analysis of nucleation, we will attempt to show a method of representation which reveals a 1:1 corresponence between classical and quantum representation methods. This has been explored using two distinctly different methods. One, Ab initio microscopic treatment, corresponds to starting with microscopic assumptions of the system itself. This method includes the approximation that all distributions symbolized by < xi >, < eta > and < kappa > are highly peaked. This approximation is valid in cases, like ours, where quantum fluctuations are small. This assumption has lead to accessible calculations of the coefficients, A, B, C, in front of each differential term of our reduced Hamiltonian, A626x2 +Bx46 6x+Cx5 . This heavy peaked assumption for the distributions represented here allowed us to unequivocally attain our magic number of 5/4 which after being reduced to a 1-dimensional version proved to be the same as Weyl quantization, i.e. C = 3. Our second method, 'Rules of Quantization' corresponds to starting with an a priori assumption that there exists a mathematically defined way of quantizing classical systems. The Weyl quantization rule was chosen because it treats p and q on equal footing. We explain why Weyl quantization is agreed amongst many mathematicians and physicts to be a 'natural' choice. This method provides a solution for our operator ambiguity term, C = 3, corroborating our previous result. Method one indicates further study into Hamiltonians of lower dimensions which are associated with lower dimensional liquids. Method two indicates there needs now to be a deeper investigation of generalized distribution functions to support our matching solutions.
APS Division of Atomic, Molecular and Optical Physics Meeting Abstracts, Mar 1, 2010
In nucleation, position dependent mass (PDM) Hamiltonian has not been analyzed because of the pot... more In nucleation, position dependent mass (PDM) Hamiltonian has not been analyzed because of the potentially foundational questions it raises. Further, the quantum effects exhibited in this system have been well established. Thus, nucleation provides an interesting template to investigate quantum effects exhibited in macroscopic systems. We will approach our problem from two different perspectives. First, starting from first principles (ab initio), we will present a microscopic description of nucleation arriving at a final quantum mechanical Hamiltonian. Subsequently, we will introduce the topic of rules of quantization with an emphasis on the Weyl transform. Surprisingly, our ab initio microscopic treatment is equivalent to that of Weyl quantization thus revealing a 1:1 correspondence between quantum and classical representation methods.
It is our aim to lay the groundwork for the representation of macroscopic systems that exhibit qu... more It is our aim to lay the groundwork for the representation of macroscopic systems that exhibit quantum effects. Underlying this work is a class of systems, which, when using Dirac Quantization, do not exhibit a 1:1 mapping between classical functions and operators. The inability to uniquely assign an operator in quantum space to a classical function is particularly interesting to
Submitted for the DAMOP10 Meeting of The American Physical Society Microscopic Treatment in Nucle... more Submitted for the DAMOP10 Meeting of The American Physical Society Microscopic Treatment in Nucleation KARLA GALDAMEZ, University of Massachusetts Boston — In nucleation, position dependent mass (PDM) Hamiltonian has not been analyzed because of the potentially foundational questions it raises. Further, the quantum effects exhibited in this system have been well established. Thus, nucleation provides an interesting template to investigate quantum effects exhibited in macroscopic systems. We will approach our problem from two different perspectives. First, starting from first principles (ab initio), we will present a microscopic description of nucleation arriving at a final quantum mechanical Hamiltonian. Subsequently, we will introduce the topic of rules of quantization with an emphasis on the Weyl transform. Surprisingly, our ab initio microscopic treatment is equivalent to that of Weyl quantization thus revealing a 1:1 correspondence between quantum and classical representation me...
A microscopic treatment of nucleation for a three dimensional system was previously presented in ... more A microscopic treatment of nucleation for a three dimensional system was previously presented in which we showed an equivalence between the resulting quantum Hamiltonian and that which is obtained from Weyl quantization, [1]. We now utilize the same procedure on one and two dimensional systems with the goal to again show an identification between Weyl quantization and a microscopic approach to quantization. We hypothesize that there are system characteristics such as density and size that make these similarities possible. Our aim is to attain a greater understanding of the particular traits of systems that lead to an equivalence between Weyl's procedure and that of our microscopic approach. We expect that our results will also be applicable to lower dimensional fluids where the ordering of operators in momentum and position may be at question.[4pt] [1] K. Galdamez. Division of Atomic, Molecular and Optical Physics, Microscopic Treatment of Nucleation, 2010, Poster Presentation.
Cosmos and history: the journal of natural and social philosophy, 2017
Photon-rhodopsin interaction is investigated within the context of information transfer at a dist... more Photon-rhodopsin interaction is investigated within the context of information transfer at a distance. John von Neumann's idea of wave function collapse (WFC) forms the framework for the process of information transfer via a single light quanta along with human intention between pairs. Mathematical formalism relating to the density matrix is studied to distinguish the collapse phenomena from absorption and decoherence thus isolating more clearly the possible dynamics of a photon wave function via intention. Our main hypothesis consists on the assumption that the interaction of distant intention and photon-rhodopsin pair will result in a swift from a simple and straight forward absorption process to that of a single entry in the density matrix representation thus leading to case of wave function collapse (WFC). Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-ts...
The hypothesis of wave function collapse introduced by John von Neumann is explored as a primary ... more The hypothesis of wave function collapse introduced by John von Neumann is explored as a primary potential mechanism for non-local information transfer between brain to brain communication. The measured effect corresponds to significant p-values encountered in the evoked potential differences within the two subject conditions presented of Relax and Concentrate. The most significant p-value for the 100 ms photon pulse length preparation renders a 0.006 result between the two conditions associated to the Oz sector. The collapse mechanism is associated to the remote mental subject influence upon subject receiving photon stimulation which is shown to be positively significant and which constitutes a primary unit effect for the investigation of mechanism associated to information transfer at a distance between subjects.
In nucleation, position dependent mass (PDM) Hamiltonian has not been analyzed because of the pot... more In nucleation, position dependent mass (PDM) Hamiltonian has not been analyzed because of the potentially foundational questions it raises. Further, the quantum effects exhibited in this system have been well established. Thus, nucleation provides an interesting template to investigate quantum effects exhibited in macroscopic systems. We will approach our problem from two different perspectives. First, starting from first principles (ab initio), we will present a microscopic description of nucleation arriving at a final quantum mechanical Hamiltonian. Subsequently, we will introduce the topic of rules of quantization with an emphasis on the Weyl transform. Surprisingly, our ab initio microscopic treatment is equivalent to that of Weyl quantization thus revealing a 1:1 correspondence between quantum and classical representation methods.
During the period from 1985 through 1990, Pluto and its satellite Charon underwent a series of tr... more During the period from 1985 through 1990, Pluto and its satellite Charon underwent a series of transits, eclipses, and occultations, which are collectively called ``mutual events.'' The albedo distribution of Pluto's sub-Charon hemisphere can be determined from these events with a spatial resolution that surpasses any current direct-imaging schemes. We use an iterative technique to determine a map of Pluto's sub-Charon hemisphere with resolutions down to 200 km in some areas. This map resolves a localized bright feature that may be due to condensation around a geyser or in a crater.
It is our aim to lay the groundwork for the representation of macroscopic systems that exhibit qu... more It is our aim to lay the groundwork for the representation of macroscopic systems that exhibit quantum effects. Underlying this work is a class of systems, which, when using Dirac Quantization, do not exhibit a 1:1 mapping between classical functions and operators. The inability to uniquely assign an operator in quantum space to a classical function is particularly interesting to us because it gives rise to foundational problems in Quantum Mechanics. Typically, these problems have been analyzed using a Position Dependent Mass Hamiltonian (PDM). However, in one of them, nucleation, PDM has not been applied in particular because of the foundational questions it raises. Further, the quantum effects exhibited during nucleation have been well established. Thus, in a re-conceived analysis of nucleation, we will attempt to show a method of representation which reveals a 1:1 corresponence between classical and quantum representation methods. This has been explored using two distinctly different methods. One, Ab initio microscopic treatment, corresponds to starting with microscopic assumptions of the system itself. This method includes the approximation that all distributions symbolized by < xi >, < eta > and < kappa > are highly peaked. This approximation is valid in cases, like ours, where quantum fluctuations are small. This assumption has lead to accessible calculations of the coefficients, A, B, C, in front of each differential term of our reduced Hamiltonian, A626x2 +Bx46 6x+Cx5 . This heavy peaked assumption for the distributions represented here allowed us to unequivocally attain our magic number of 5/4 which after being reduced to a 1-dimensional version proved to be the same as Weyl quantization, i.e. C = 3. Our second method, 'Rules of Quantization' corresponds to starting with an a priori assumption that there exists a mathematically defined way of quantizing classical systems. The Weyl quantization rule was chosen because it treats p and q on equal footing. We explain why Weyl quantization is agreed amongst many mathematicians and physicts to be a 'natural' choice. This method provides a solution for our operator ambiguity term, C = 3, corroborating our previous result. Method one indicates further study into Hamiltonians of lower dimensions which are associated with lower dimensional liquids. Method two indicates there needs now to be a deeper investigation of generalized distribution functions to support our matching solutions.
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