Search Results 1-12 of 12

Tamura Hideo

… The Aharonov–Bohm Hamiltonian is the energy operator which governs quantum particles moving in a solenoidal field in two dimensions. …

Mathematical Journal of Okayama University 53(1), 1-37, 2011-01

IR  DOI 

NATORI Hiroshi , MUNEHISA Tomo

… This method is unconditionally stable and it can be used for a time dependent Hamiltonian so that one can apply it to various problems without any difficulty. …

Journal of the Physical Society of Japan 66(2), 351-359, 1997-02-15

J-STAGE  References (8) Cited by (1)

ZHU Jian-Xin , WANG Z. D.

… Based upon a tight-binding model Hamiltonian and by applying the Jordan-Wigner transformation, the Aharonov-Bohm (AB) effect for charged hard-core bosons in one-dimensional (1D) mesoscopic rings is investigated for the first time. …

Journal of the Physical Society of Japan 64(2), 335-338, 1995-02-15

References (16)

VIET N. A. , Ajiki Hiroshi , Ando Tsuneya

… The k・p model Hamiltonian is given by Dirac's relativistic equation in the presence of distortion. … The resulting gap equation is solved analytically in the presence of an Aharonov-Bohm magnetic flux through the cross section of nanotube, leading to the conclusion that the in-plane and out-of-plane distortions cannot coexist. … A tight-binding model gives results in excellent agreement with k・p results and justifies the k・p model Hamiltonian. …

Journal of the Physical Society of Japan 63(8), p3036-3047, 1994-08

DOI  Cited by (7)

Viet Nguyen Ai , Ajiki Hiroshi , Ando Tsuneya

… p model Hamiltonian is given by Dirac's relativistic equation in the presence of distortion. … The resulting gap equation is solved analytically in the presence of an Aharonov-Bohm magnetic flux through the cross section of nanotube, leading to the conclusion that the in-plane and out-of-plane distortions cannot coexist. … p model Hamiltonian. …

Journal of the Physical Society of Japan 63(8), 3036-3047, 1994

J-STAGE 

TAKAGI S. , Toru TANZAWA , Department of Physics Tohoku University , Department of Physics Tohoku University

… We derive an effective Hamiltonian for a particle confined to a thin tube which is gently twisted and curved to form a closed loop. … The Hamiltonian describes the effect of both the curvature and the torsion of the loop correctly to the second order. … Applied to the case of a tube of circular cross section, it reveals complete analogy with the Aharonov-Bohm effect. …

Progress of Theoretical Physics 87(3), p561-568, 1992-03

DOI  Cited by (1)