Dynamics of a Strongly Coupled Polaron

被引：23

作者：

Frank, Rupert L. ^{[1
]}

Schlein, Benjamin ^{[2
]}

机构：

[1] CALTECH, Pasadena, CA 91125 USA

[2] Univ Bonn, D-53115 Bonn, Germany

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2014年 / 104卷 / 08期

基金：

美国国家科学基金会;

关键词：

polaron; dynamics; Schrodinger operator; quantized field;

D O I：

10.1007/s11005-014-0700-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the dynamics of large polarons described by the Frohlich Hamiltonian in the limit of strong coupling. The initial conditions are (perturbations of) product states of an electron wave function and a phonon coherent state, as suggested by Pekar. We show that, to leading order on the natural time scale of the problem, the phonon field is stationary and the electron moves according to an effective linear Schrodinger equation.

引用

页码：911 / 929

页数：19

共 14 条

[1] On the time evolution of the mean-field polaron [J].

Bechouche, P ;

Nieto, J ;

Arriola, ER ;

Soler, J .

JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (07) :4293-4312

[2]

Bogolubov N.N., 2000, POLARON THEORY MODEL

[3] Frohlich polaron and bipolaron: recent developments [J].

Devreese, Jozef T. ;

Alexandrov, Alexandre S. .

REPORTS ON PROGRESS IN PHYSICS, 2009, 72 (06)

[4] ASYMPTOTICS FOR THE POLARON [J].

DONSKER, MD ;

VARADHAN, SRS .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1983, 36 (04) :505-528

[5] SLOW ELECTRONS IN A POLAR CRYSTAL [J].

FEYNMAN, RP .

PHYSICAL REVIEW, 1955, 97 (03) :660-665

[6] Theory of electrical breakdown in ionic crystals [J].

Frohlich, H .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1937, 160 (A901) :0230-0241

[7]

GURARI M, 1953, PHILOS MAG, V44, P329

[8]

LANDAU LD, 1948, ZH EKSP TEOR FIZ+, V18, P419

[9] THE MOTION OF SLOW ELECTRONS IN A POLAR CRYSTAL [J].

LEE, TD ;

LOW, FE ;

PINES, D .

PHYSICAL REVIEW, 1953, 90 (02) :297-302

[10] THE MOTION OF SLOW ELECTRONS IN POLAR CRYSTALS [J].

LEE, TD ;

PINES, D .

PHYSICAL REVIEW, 1952, 88 (04) :960-961

← 1 2 →