FERMIONIC DUAL OF ONE-DIMENSIONAL BOSONIC PARTICLES WITH DERIVATIVE DELTA FUNCTION POTENTIAL

被引：0

作者：

Basu-Mallick, B. ^{[1
]}

Bhattacharyya, Tanaya ^{[2
]}

机构：

[1] Saha Inst Nucl Phys, Theory Grp, Kolkata 700064, India

[2] Syamaprasad Coll, Dept Phys, Kolkata 700026, India

来源：

MODERN PHYSICS LETTERS A | 2010年 / 25卷 / 09期

关键词：

Boson-fermion duality; exactly solvable systems; self-adjoint extensions; NONLINEAR SCHRODINGER MODEL; SOLITON STATES; BETHE-ANSATZ; GAS;

D O I：

10.1142/S0217732310032214

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We investigate the bosonfermion duality relation for the case of quantum integrable derivative delta-function Bose gas. In particular, we find a dual fermionic system with nonvanishing zero-range interaction for the simplest case of two bosonic particles with derivative delta-function interaction. The coupling constant of this dual fermionic system becomes inversely proportional to the product of the coupling constant of its bosonic counterpart and the center-of-mass momentum of the corresponding eigenfunction.

引用

页码：715 / 725

页数：11

共 27 条

[1] Anyons and chiral solitons on a line [J].

Aglietti, U ;

Griguolo, L ;

Jackiw, R ;

Pi, SY ;

Seminara, D .

PHYSICAL REVIEW LETTERS, 1996, 77 (21) :4406-4409

[2]

Albeverio S., 1988, Solvable Models in Quantum Mechanics

[3] Quantum bound states for a derivative nonlinear Schrodinger model and number theory [J].

Basu-Mallick, B ;

Bhattacharyya, T ;

Sen, D .

MODERN PHYSICS LETTERS A, 2004, 19 (36) :2697-2706

[4] Bound and anti-bound soliton states for a quantum integrable derivative nonlinear Schrodinger model [J].

Basu-Mallick, B ;

Bhattacharyya, T ;

Sen, D .

PHYSICS LETTERS A, 2004, 325 (5-6) :375-380

[5] Novel multi-band quantum soliton states for a derivative nonlinear Sohrodinger model [J].

Basu-Mallick, B ;

Bhattacharyya, T ;

Sen, D .

NUCLEAR PHYSICS B, 2003, 675 (03) :516-532

[6] Jost solutions and quantum conserved quantities of an integrable derivative nonlinear Schrodinger model [J].

Basu-Mallick, B ;

Bhattacharyya, T .

NUCLEAR PHYSICS B, 2003, 668 (03) :415-446

[7] Algebraic Bethe ansatz for a quantum integrable derivative nonlinear Schrodinger model [J].

Basu-Mallick, B ;

Bhattacharyya, T .

NUCLEAR PHYSICS B, 2002, 634 (03) :611-627

[8] Realizing discontinuous wave functions with renormalized short-range potentials [J].

Cheon, T ;

Shigehara, T .

PHYSICS LETTERS A, 1998, 243 (03) :111-116

[9] Fermion-Boson duality of one-dimensional quantum particles with generalized contact interactions [J].

Cheon, T ;

Shigehara, T .

PHYSICAL REVIEW LETTERS, 1999, 82 (12) :2536-2539

[10] DIMENSIONAL REDUCTIONS AND EXACT-SOLUTIONS OF A GENERALIZED NONLINEAR SCHRODINGER-EQUATION [J].

CLARKSON, PA .

NONLINEARITY, 1992, 5 (02) :453-472

← 1 2 3 →