Time-dependent quantum graph

被引：13

作者：

Matrasulov, D. U. ^{[1
,2
]}

Yusupov, J. R. ^{[1
]}

Sabirov, K. K. ^{[2
]}

Sobirov, Z. A. ^{[2
,3
]}

机构：

[1] Turin Polytech Univ Tashkent, 17 Niyazov Str, Tashkent 100095, Uzbekistan

[2] Natl Univ Uzbekistan, Tashkent 100174, Uzbekistan

[3] Tashkent Financial Inst, Tashkent 100000, Uzbekistan

来源：

NANOSYSTEMS-PHYSICS CHEMISTRY MATHEMATICS | 2015年 / 6卷 / 02期

关键词：

quantum graph; time-dependent boundary conditions; wave packet dynamics;

D O I：

10.17586/2220-8054-2015-6-2-173-181

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

In this paper, we study quantum star graphs with time-dependent bond lengths. Quantum dynamics are treated by solving Schrodinger equation with time-dependent boundary conditions given on graphs. The time-dependence of the average kinetic energy is analyzed. The space-time evolution of a Gaussian wave packet is treated for an harmonically breathing star graph.

引用

页码：173 / 181

页数：9

共 27 条

[1] Symmetries of quantum graphs and the inverse scattering problem [J].

Boman, J ;

Kurasov, P .

ADVANCES IN APPLIED MATHEMATICS, 2005, 35 (01) :58-70

[2] Approximation of a general singular vertex coupling in quantum graphs [J].

Cheon, Taksu ;

Exner, Pavel ;

Turek, Ondrej .

ANNALS OF PHYSICS, 2010, 325 (03) :548-578

[3] INFINITE SQUARE-WELL POTENTIAL WITH A MOVING WALL [J].

DOESCHER, SW ;

RICE, MH .

AMERICAN JOURNAL OF PHYSICS, 1969, 37 (12) :1246-&

[4] QUANTUM INTERFERENCE ON GRAPHS CONTROLLED BY AN EXTERNAL ELECTRIC-FIELD [J].

EXNER, P ;

SEBA, P ;

STOVICEK, P .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (21) :4009-4019

[5]

Exner P., 1989, Reports on Mathematical Physics, V28, P7, DOI 10.1016/0034-4877(89)90023-2

[6] Quantum infinite square well with an oscillating wall [J].

Glasser, M. L. ;

Mateo, J. ;

Negro, J. ;

Nieto, L. M. .

CHAOS SOLITONS & FRACTALS, 2009, 41 (04) :2067-2074

[7] Eigenfunction statistics on quantum graphs [J].

Gnutzmann, S. ;

Keating, J. P. ;

Piotet, F. .

ANNALS OF PHYSICS, 2010, 325 (12) :2595-2640

[8] Quantum graphs: Applications to quantum chaos and universal spectral statistics [J].

Gnutzmann, Sven ;

Smilansky, Uzy .

ADVANCES IN PHYSICS, 2006, 55 (5-6) :527-625

[9] Experimental simulation of quantum graphs by microwave networks [J].

Hul, O ;

Bauch, S ;

Pakonski, P ;

Savytskyy, N ;

Zyczkowski, K ;

Sirko, L .

PHYSICAL REVIEW E, 2004, 69 (05) :7-1

[10] STUDY OF A QUANTUM FERMI-ACCELERATION MODEL [J].

JOSE, JV ;

CORDERY, R .

PHYSICAL REVIEW LETTERS, 1986, 56 (04) :290-293

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