Fred Cooper | Santa Fe Institute (original) (raw)
I was trained as a Theoretical Physicist, receiving my Ph. D. under Nobel Prize winner Sheldon Lee Glashow. I was a pioneer in developing real-time methods in Quantum Field Theory and also in understanding Supersymmetric Quantum Mechanics. I also have studied Tibetan Buddhism under some of the great masters of our Time. HE Kalu Rinpoche, Guru Vajradhara Tai Situ Rinpoche, Mingyur Rinpoche, and Traleg Rinpoche and teach Meditation at Kagyu Shenpen Buddhist Center in Santa Fe, NM USA. I have recently been studying pattern formation in reaction diffusion equations, as well as understanding the stability of exact solitary wave solutions found in nonlinear partial differential equations. I have developed approximate Collective coordinate methods to study the behavior of these waves when there is dissipation.
Supervisors: Sheldon Lee Glashow
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Papers by Fred Cooper
NATO advanced study institutes series, 1993
Physical Review Letters, Apr 15, 1974
A proportional to the number of different partons in the free Lagrangian.'For an... more A proportional to the number of different partons in the free Lagrangian.'For an ideal Bose gas with g „= 3, X (T=~)= 4. 15. For the hydrodynam-ic regime T,(T & T, we consider two models for the parameters as shown in Table I. The ultxaxelativistic model is defined by co'= 3 and T,= T „. For the hadronic spectrum'model the observed hadron density of states was fitted with a power lawand the partition function evaluated to gee co'= 6, X= 16
Physical review, Oct 25, 2004
Physical review, Nov 26, 2001
Physical review, Jul 15, 1989
Nuclear Physics B, Sep 1, 1982
We study lattice g0phi4 field theory for all g0 and fixed renormalized mass M in one and two dime... more We study lattice g0phi4 field theory for all g0 and fixed renormalized mass M in one and two dimensions using Monte Carlo techniques. We calculate the dimensionless renormalized coupling constant gR = gR/M4-d, where d is the dimension of space-time, at fixed small values of the lattice spacing a for various g0 and lattice sizes. Our results are in quantitative
arXiv (Cornell University), Jun 10, 2014
Description/Abstract In order to understand dynamics in the Heisenberg picture, a study is made o... more Description/Abstract In order to understand dynamics in the Heisenberg picture, a study is made of ordinary single particle quantum mechanics where the methods used can be compared with solving the Schroedinger equation numerically. The methods are generalized to field theory. Both analytic and numerical strategies are developed for solving the Heisenberg equations on a time lattice. The time development of an initial gaussian wave function is considered in various potentials in order to study both quantum tunnelling ...
arXiv (Cornell University), Nov 4, 1998
arXiv (Cornell University), Oct 15, 1998
arXiv (Cornell University), Jun 6, 2008
arXiv (Cornell University), Jan 2, 1997
We review the assumptions and domain of applicability of Landau's Hydrodynamical Model. By consid... more We review the assumptions and domain of applicability of Landau's Hydrodynamical Model. By considering two models of particle production, pair production from strong electric fields and particle production in the linear sigma model, we demonstrate that many of Landau's ideas are verified in explicit field theory calculations.
Physical Review Letters, Jul 1, 1998
The Energy Citations Database (ECD) provides access to historical and current research (1948 to t... more The Energy Citations Database (ECD) provides access to historical and current research (1948 to the present) from the Department of Energy (DOE) and predecessor agencies.
arXiv (Cornell University), Nov 13, 2006
We study, for the first time, the Schwinger mechanism for the pair production of charged scalars ... more We study, for the first time, the Schwinger mechanism for the pair production of charged scalars in the presence of an arbitrary time-dependent background electric field E(t) by by directly evaluating the path integral. We obtain an exact non-perturbative result for the probability of charged scalar particle-antiparticle pair production per unit time per unit volume per unit transverse momentum (of the particle or antiparticle) from the arbitrary time dependent electric field E(t). We find that the exact non-perturbative result is independent of all the time derivatives d^nE(t)/dt^n, where n=1,2,....\infty. This result has the same functional dependence on E as the constant electric field E result with the replacement: E -> E(t).
arXiv (Cornell University), Dec 29, 2006
arXiv (Cornell University), Jun 10, 2014
Physical review, Jul 15, 1970
Description/Abstract One reason for studying supersymmetric quantum mechanics is that there are a... more Description/Abstract One reason for studying supersymmetric quantum mechanics is that there are a class of superpotentials W (x) which behave at large x as x/sup.. cap alpha../for which we know from general arguments whether SUSY is broken or unbroken. Thus one can use these superpotentials to test various ideas about how to see if supersymmetry is broken in an arbitrary model. Recently, Witten proposed a topological invariant, the Witten index.. delta.. which counts the number of bosons minus the number of fermions having ...
NATO advanced study institutes series, 1993
Physical Review Letters, Apr 15, 1974
A proportional to the number of different partons in the free Lagrangian.'For an... more A proportional to the number of different partons in the free Lagrangian.'For an ideal Bose gas with g „= 3, X (T=~)= 4. 15. For the hydrodynam-ic regime T,(T & T, we consider two models for the parameters as shown in Table I. The ultxaxelativistic model is defined by co'= 3 and T,= T „. For the hadronic spectrum'model the observed hadron density of states was fitted with a power lawand the partition function evaluated to gee co'= 6, X= 16
Physical review, Oct 25, 2004
Physical review, Nov 26, 2001
Physical review, Jul 15, 1989
Nuclear Physics B, Sep 1, 1982
We study lattice g0phi4 field theory for all g0 and fixed renormalized mass M in one and two dime... more We study lattice g0phi4 field theory for all g0 and fixed renormalized mass M in one and two dimensions using Monte Carlo techniques. We calculate the dimensionless renormalized coupling constant gR = gR/M4-d, where d is the dimension of space-time, at fixed small values of the lattice spacing a for various g0 and lattice sizes. Our results are in quantitative
arXiv (Cornell University), Jun 10, 2014
Description/Abstract In order to understand dynamics in the Heisenberg picture, a study is made o... more Description/Abstract In order to understand dynamics in the Heisenberg picture, a study is made of ordinary single particle quantum mechanics where the methods used can be compared with solving the Schroedinger equation numerically. The methods are generalized to field theory. Both analytic and numerical strategies are developed for solving the Heisenberg equations on a time lattice. The time development of an initial gaussian wave function is considered in various potentials in order to study both quantum tunnelling ...
arXiv (Cornell University), Nov 4, 1998
arXiv (Cornell University), Oct 15, 1998
arXiv (Cornell University), Jun 6, 2008
arXiv (Cornell University), Jan 2, 1997
We review the assumptions and domain of applicability of Landau's Hydrodynamical Model. By consid... more We review the assumptions and domain of applicability of Landau's Hydrodynamical Model. By considering two models of particle production, pair production from strong electric fields and particle production in the linear sigma model, we demonstrate that many of Landau's ideas are verified in explicit field theory calculations.
Physical Review Letters, Jul 1, 1998
The Energy Citations Database (ECD) provides access to historical and current research (1948 to t... more The Energy Citations Database (ECD) provides access to historical and current research (1948 to the present) from the Department of Energy (DOE) and predecessor agencies.
arXiv (Cornell University), Nov 13, 2006
We study, for the first time, the Schwinger mechanism for the pair production of charged scalars ... more We study, for the first time, the Schwinger mechanism for the pair production of charged scalars in the presence of an arbitrary time-dependent background electric field E(t) by by directly evaluating the path integral. We obtain an exact non-perturbative result for the probability of charged scalar particle-antiparticle pair production per unit time per unit volume per unit transverse momentum (of the particle or antiparticle) from the arbitrary time dependent electric field E(t). We find that the exact non-perturbative result is independent of all the time derivatives d^nE(t)/dt^n, where n=1,2,....\infty. This result has the same functional dependence on E as the constant electric field E result with the replacement: E -> E(t).
arXiv (Cornell University), Dec 29, 2006
arXiv (Cornell University), Jun 10, 2014
Physical review, Jul 15, 1970
Description/Abstract One reason for studying supersymmetric quantum mechanics is that there are a... more Description/Abstract One reason for studying supersymmetric quantum mechanics is that there are a class of superpotentials W (x) which behave at large x as x/sup.. cap alpha../for which we know from general arguments whether SUSY is broken or unbroken. Thus one can use these superpotentials to test various ideas about how to see if supersymmetry is broken in an arbitrary model. Recently, Witten proposed a topological invariant, the Witten index.. delta.. which counts the number of bosons minus the number of fermions having ...
We review the assumptions and domain of applicability of Landau's Hydrodynamical Model. By consid... more We review the assumptions and domain of applicability of Landau's Hydrodynamical Model. By considering two models of particle production, pair production from strong electric fields and particle production in the linear σ model, we demonstrate that many of Landau's ideas are verified in explicit field theory calculations.
The experimental data for the giant squid axon propagated action potential is examined in phase s... more The experimental data for the giant squid axon propagated action potential is examined in phase space. Plots of capacitive and ionic currents vs. potential exhibit linear portions providing temperature dependent time rates and maximum conductance constants for sodium and potassium channels. First order phase transitions of ionic channels are identified. Incorporation of time rates into Avrami equations for fractions of open channels yields for each channel a temperature independent dimensionless constant that is remarkably close in value to the fine structure constant. It also yields temperature independent scaling exponents θx. Evidence is presented that the action potential traverses a ferroelectric hysteresis loop starting with a linear outgoing current followed by incoming sodium current that is accompanied with a channels lattice morphing in the negative resistance region. This results in a second order phase transition polarization flip at the peak of the action potential, followed by closing of sodium and opening of potassium channels, and finally closing the loop by reversing the polarization flip as the resting potential is reached. The existence of this hysteresis loop for the giant squid action potential suggests the possibility of neurons with two stable states, the basis for memory storage and retrieval. *
The connection (or lack of connection) between Theoretical Physics and Buddhist Realization is d... more The connection (or lack of connection) between Theoretical Physics and Buddhist Realization is discussed