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A mathematical companion to quantum ...

Sternberg, Shlomo,

A mathematical companion to quantum mechanics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A mathematical companion to quantum mechanics /Shlomo Sternberg.
作者:	Sternberg, Shlomo,
出版者:	Mineola, New York :Dover Publications, Inc.,2019.
面頁冊數:	xvi, 310 p. :ill. ;23 cm.
標題:	Mathematical physics.
ISBN:	9780486826899 (pbk.) :

A mathematical companion to quantum mechanics /
Sternberg, Shlomo,

A mathematical companion to quantum mechanics /Shlomo Sternberg. - Mineola, New York :Dover Publications, Inc.,2019. - xvi, 310 p. :ill. ;23 cm.

Includes bibliographical references and index.

Introduction -- The Fourier transform -- The spectral theorem -- Unbounded operators -- Semi-groups, I -- Self-adjoint operators -- Semi-groups, II -- Semi-groups, III -- Weyl's theorem on the essential spectrum -- More from Weyl's theorem -- Extending the functional analysis via Riesz -- Wintner's proof of the spectral theorem -- The L2 version of a spectral theorem -- Rayleigh-Ritz -- Some one-dimensional quantum mechanics -- More one-dimensional quantum mechanics -- Some three-dimensional computations -- Bound states and scattering states -- The exponential decay of eigenstates -- Lorch's proof of the spectral theorem -- Scattering theory via Lax and Phillips -- Huygens' principle -- Some quantum mechanical scattering theory -- The Groenwald-Van Hove theorem -- Chernoff's theorem -- Some background material.

This original work, based on the author's many years of teaching at Harvard University, examines mathematical methods of value and importance to advanced undergraduates and graduate students studying quantum mechanics.--

ISBN: 9780486826899 (pbk.) :NT$790

LCCN: 2018044258Subjects--Topical Terms:

190854
Mathematical physics.

LC Class. No.: QC174.12 / .S8445 2019

Dewey Class. No.: 530.12

A mathematical companion to quantum mechanics /
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100 1 $a Sternberg, Shlomo, $e author. $3 856327
245 1 2 $a A mathematical companion to quantum mechanics / $c Shlomo Sternberg.
260 $a Mineola, New York : $b Dover Publications, Inc., $c 2019.
300 $a xvi, 310 p. : $b ill. ; $c 23 cm.
504 $a Includes bibliographical references and index.
505 0 $a Introduction -- The Fourier transform -- The spectral theorem -- Unbounded operators -- Semi-groups, I -- Self-adjoint operators -- Semi-groups, II -- Semi-groups, III -- Weyl's theorem on the essential spectrum -- More from Weyl's theorem -- Extending the functional analysis via Riesz -- Wintner's proof of the spectral theorem -- The L2 version of a spectral theorem -- Rayleigh-Ritz -- Some one-dimensional quantum mechanics -- More one-dimensional quantum mechanics -- Some three-dimensional computations -- Bound states and scattering states -- The exponential decay of eigenstates -- Lorch's proof of the spectral theorem -- Scattering theory via Lax and Phillips -- Huygens' principle -- Some quantum mechanical scattering theory -- The Groenwald-Van Hove theorem -- Chernoff's theorem -- Some background material.
520 $a This original work, based on the author's many years of teaching at Harvard University, examines mathematical methods of value and importance to advanced undergraduates and graduate students studying quantum mechanics.-- $c Provided by publisher.
650 0 $a Mathematical physics. $3 190854
650 0 $a Quantum theory. $3 199020