Floyd L. Williams – författare

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6 produkter

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6 produkter

Del 57 - Mathematical Sciences Research Institute Publications
A Window into Zeta and Modular Physics
AvKlaus Kirsten,Floyd L. Williams
Inbunden, Engelska, 2010
1 818 kr
Skickas inom 10-15 vardagar
This book provides an introduction to (1) various zeta functions (for example, Riemann, Hurwitz, Barnes, Epstein, Selberg, and Ruelle), including graph zeta functions; (2) modular forms (Eisenstein series, Hecke and Dirichlet L-functions, Ramanujan's tau function, and cusp forms); and (3) vertex operator algebras (correlation functions, quasimodular forms, modular invariance, rationality, and some current research topics including higher genus conformal field theory). Various concrete applications of the material to physics are presented. These include Kaluza-Klein extra dimensional gravity, Bosonic string calculations, an abstract Cardy formula for black hole entropy, Patterson-Selberg zeta function expression of one-loop quantum field and gravity partition functions, Casimir energy calculations, atomic Schrödinger operators, Bose-Einstein condensation, heat kernel asymptotics, random matrices, quantum chaos, elliptic and theta function solutions of Einstein's equations, a soliton-black hole connection in two-dimensional gravity, and conformal field theory.
Del 57 - Mathematical Sciences Research Institute Publications
A Window into Zeta and Modular Physics
AvKlaus Kirsten,Floyd L. Williams
Häftad, Engelska, 2014
624 kr
Skickas inom 10-15 vardagar
This book provides an introduction to (1) various zeta functions (for example, Riemann, Hurwitz, Barnes, Epstein, Selberg, and Ruelle), including graph zeta functions; (2) modular forms (Eisenstein series, Hecke and Dirichlet L-functions, Ramanujan's tau function, and cusp forms); and (3) vertex operator algebras (correlation functions, quasimodular forms, modular invariance, rationality, and some current research topics including higher genus conformal field theory). Various concrete applications of the material to physics are presented. These include Kaluza-Klein extra dimensional gravity, Bosonic string calculations, an abstract Cardy formula for black hole entropy, Patterson-Selberg zeta function expression of one-loop quantum field and gravity partition functions, Casimir energy calculations, atomic Schrödinger operators, Bose-Einstein condensation, heat kernel asymptotics, random matrices, quantum chaos, elliptic and theta function solutions of Einstein's equations, a soliton-black hole connection in two-dimensional gravity, and conformal field theory.
Some Musings on Theta, Eta, and Zeta
From E8 to Cold Plasma to an lnhomogeneous Universe
AvFloyd L. Williams
Inbunden, Engelska, 2023
1 516 kr
Skickas inom 10-15 vardagar
This book continues the applications of mathematics, more specifically of theta, eta, and zeta functions, and modular forms, to various areas of theoretical physics. It is a follow-up and extension in some sense of the author’s earlier book entitled A window into zeta and modular physics. Some of the main topics are1. A new approach to logarithmic corrections to black hole entropy2. My recent work that provides for an explicit cold plasma-black hole connection3. Generalization of work of physicists on certain asymptotic problems relating to string theory, for example, by way of the general theory of modular forms of non-positive weight4. A construction of the E8 root lattice, its theta function, and its relevance for heterotic string theory5. Applications of elliptic functions to KdV, nonlinear Schrödinger, and Duffing equations, for example, including a discussion of Lax pairs and the Miura transformation6. Finite temperature zeta functionsand partition functions for quantum fields in thermal equilibrium on various curved background spacetimes7. Exact solutions of the Einstein gravitational field equations for Lemaitre and inhomogeneous cosmological models, with a special focus on the Szekeres–Szafron exact solutions by way of the Weierstrass elliptic function8. Elementary particles and my zeta function formula for higher spin fermionic particles; this covers, in particular, the gravitino particle (of spin 3/2) and bosons with integral spin s = 2, 3, 4, 5.These are some sample topics. Others include the continuous Heisenberg model, reaction diffusion systems, Dirichlet and Hecke L-functions, the modular j-invariant, the computation of the one-loop effective potential for non-compact symmetric spaces, the BTZ black hole, Jacobi inversion formulas, etc.Thus, there is a very large range of material with the first 9 chapters of preliminary, expositional background for mathematicians and physicists.
Some Musings on Theta, Eta, and Zeta
From E8 to Cold Plasma to an lnhomogeneous Universe
AvFloyd L. Williams
E-bok
Engelska, 2023
1 894 kr
Läs direkt efter köp
This book continues the applications of mathematics, more specifically of theta, eta, and zeta functions, and modular forms, to various areas of theoretical physics. It is a follow-up and extension in some sense of the author’s earlier book entitled A window into zeta and modular physics. Some of the main topics are
1. A new approach to logarithmic corrections to black hole entropy
2. My recent work that provides for an explicit cold plasma-black hole connection
3. Generalization of work of physicists on certain asymptotic problems relating to string theory, for example, by way of the general theory of modular forms of non-positive weight
4. A construction of the E8 root lattice, its theta function, and its relevance for heterotic string theory
5. Applications of elliptic functions to KdV, nonlinear Schrödinger, and Duffing equations, for example, including a discussion of Lax pairs and the Miura transformation
6. Finite temperature zeta functionsand partition functions for quantum fields in thermal equilibrium on various curved background spacetimes
7. Exact solutions of the Einstein gravitational field equations for Lemaitre and inhomogeneous cosmological models, with a special focus on the Szekeres–Szafron exact solutions by way of the Weierstrass elliptic function
8. Elementary particles and my zeta function formula for higher spin fermionic particles; this covers, in particular, the gravitino particle (of spin 3/2) and bosons with integral spin s = 2, 3, 4, 5.
These are some sample topics. Others include the continuous Heisenberg model, reaction diffusion systems, Dirichlet and Hecke L-functions, the modular j-invariant, the computation of the one-loop effective potential for non-compact symmetric spaces, the BTZ black hole, Jacobi inversion formulas, etc.
Thus, there is a very large range of material with the first 9 chapters of preliminary, expositional background for mathematicians and physicists.
Some Musings on Theta, Eta, and Zeta
From E8 to Cold Plasma to an lnhomogeneous Universe
AvFloyd L. Williams
Häftad, Engelska, 2024
1 516 kr
Skickas inom 10-15 vardagar
This book continues the applications of mathematics, more specifically of theta, eta, and zeta functions, and modular forms, to various areas of theoretical physics. It is a follow-up and extension in some sense of the author’s earlier book entitled A window into zeta and modular physics. Some of the main topics are1. A new approach to logarithmic corrections to black hole entropy2. My recent work that provides for an explicit cold plasma-black hole connection3. Generalization of work of physicists on certain asymptotic problems relating to string theory, for example, by way of the general theory of modular forms of non-positive weight4. A construction of the E8 root lattice, its theta function, and its relevance for heterotic string theory5. Applications of elliptic functions to KdV, nonlinear Schrödinger, and Duffing equations, for example, including a discussion of Lax pairs and the Miura transformation6. Finite temperature zeta functionsand partition functions for quantum fields in thermal equilibrium on various curved background spacetimes7. Exact solutions of the Einstein gravitational field equations for Lemaitre and inhomogeneous cosmological models, with a special focus on the Szekeres–Szafron exact solutions by way of the Weierstrass elliptic function8. Elementary particles and my zeta function formula for higher spin fermionic particles; this covers, in particular, the gravitino particle (of spin 3/2) and bosons with integral spin s = 2, 3, 4, 5.These are some sample topics. Others include the continuous Heisenberg model, reaction diffusion systems, Dirichlet and Hecke L-functions, the modular j-invariant, the computation of the one-loop effective potential for non-compact symmetric spaces, the BTZ black hole, Jacobi inversion formulas, etc.Thus, there is a very large range of material with the first 9 chapters of preliminary, expositional background for mathematicians and physicists.
MATHEMATICAL METHODS IN PHYSICS - PROCEEDINGS OF THE 1999 LONDRINA WINTER SCHOOL
AvBYTSENKO A A,Andrei A Bytsenkom. fl.
Inbunden, Engelska, 2000
1 507 kr
Tillfälligt slut
This volume contains discussions on group representations of SL(2,R) and automorphic forms, with applications of the Selberg trace formula to the Landau spectrum for a uniform magnetic field on a Riemann surface, on particle creation in the early universe, Chern–Simons gauge theory on 3-manifolds, path integral representation of fractional spin particles, eta and zeta functions and Dirac operators, Schrödinger operators with periodic potential, elliptic genera for SUSY sigma models, quantum fields on curved space–times, black holes, and some discussions on string theory and quantum gravity.

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Floyd L. Williams – författare

A Window into Zeta and Modular Physics

A Window into Zeta and Modular Physics

Some Musings on Theta, Eta, and Zeta

Some Musings on Theta, Eta, and Zeta

Some Musings on Theta, Eta, and Zeta

MATHEMATICAL METHODS IN PHYSICS - PROCEEDINGS OF THE 1999 LONDRINA WINTER SCHOOL

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