Benjamin A. Bose's Books

Effective Evolution Equations from Quantum Dynamics

By: Niels Benedikter,Marcello Porta,Benjamin Schlein

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Effective Evolution Equations from Quantum Dynamics

By: Niels Benedikter,Marcello Porta,Benjamin Schlein

These notes investigate the time evolution of quantum systems, and in particular the rigorous derivation of effective equations approximating the many-body Schrödinger dynamics in certain physically interesting regimes. The focus is primarily on the derivation of time-dependent effective theories (non-equilibrium question) approximating many-body quantum dynamics. The book is divided into seven sections, the first of which briefly reviews the main properties of many-body quantum systems and their time evolution. Section 2 introduces the mean-field regime for bosonic systems and explains how the many-body dynamics can be approximated in this limit using the Hartree equation. Section 3 presents a method, based on the use of coherent states, for rigorously proving the convergence towards the Hartree dynamics, while the fluctuations around the Hartree equation are considered in Section 4. Section 5 focuses on a discussion of a more subtle regime, in which the many-body evolution can be approximated by means of the nonlinear Gross-Pitaevskii equation. Section 6 addresses fermionic systems (characterized by antisymmetric wave functions); here, the fermionic mean-field regime is naturally linked with a semiclassical regime, and it is proven that the evolution of approximate Slater determinants can be approximated using the nonlinear Hartree-Fock equation. In closing, Section 7 reexamines the same fermionic mean-field regime, but with a focus on mixed quasi-free initial data approximating thermal states at positive temperature.

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Springer

Published Date

ISBN 10

3319248987

ISBN 13

9783319248981

Journey Through the Darkness: Poems from a Diseased Mind

By: Benjamin Merrill

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Journey Through the Darkness: Poems from a Diseased Mind

By: Benjamin Merrill

Merrill's poems arise from his personal experience of post traumatic stress disorder after three tours of duty, one as a corpsman in a military hospital and two more as a combatant in Iraq.

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Lulu.com

Published Date

ISBN 10

0615177131

ISBN 13

9780615177137

Laser Light Scattering

By: Benjamin Chu

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Laser Light Scattering

By: Benjamin Chu

Laser Light Scattering

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Page Count

333

Publisher

Elsevier

Published Date

ISBN 10

032316255X

ISBN 13

9780323162555

Suicide Woods

Stories

By: Benjamin Percy

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Suicide Woods

Stories

By: Benjamin Percy

A spine-tingling new collection of stories from the acclaimed author of Thrill Me and The Dark Net Benjamin Percy is a versatile and propulsive storyteller whose genre-busting novels and story collections have ranged from literary to thriller to postapocalyptic. In his essay collection, Thrill Me, he laid bare for readers how and why he channels disparate influences in his work. Now, in his first story collection since the acclaimed Refresh, Refresh, Percy brings his page-turning skills to bear in Suicide Woods, a potent brew of horror, crime, and weird happenings in the woods. A boy in his uncle’s care falls through the ice on a pond and emerges in a frozen, uncanny state. A group of people in therapy for suicidal ideation undergoes a drastic session in the woods with fatal consequences. A body found on a train and a blood-soaked carpet in an empty house are clues to a puzzling crime in a small town. And in a pulse-quickening novella, thrill seekers on a mapping expedition into the “Bermuda Triangle” of remote Alaska are stranded on a sinister island that seems to want them dead. In story after story, which have appeared in magazines ranging from the Virginia Quarterly Review and Orion Magazine to McSweeney’s and Ploughshares, Percy delivers haunting and chilling narratives that will have readers hanging on every word. A master class in suspense and horror, Suicide Woods is a dark, inventive collection packed to the gills with eerie, can’t-miss tales.

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Page Count

199

Publisher

Graywolf Press

Published Date

ISBN 10

1644451050

ISBN 13

9781644451052

Book's by Benjamin A. Bose

Effective Evolution Equations from Quantum Dynamics

Effective Evolution Equations from Quantum Dynamics

Journey Through the Darkness: Poems from a Diseased Mind

Journey Through the Darkness: Poems from a Diseased Mind

Laser Light Scattering

Laser Light Scattering

Suicide Woods

Suicide Woods

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