Hermitian and non-Hermitian formulations of the time evolution of quantum decay

被引：27
|
作者：
Garcia-Calderon, Gaston [1 ]
Mattar, Alejandro [1 ]
Villavicencio, Jorge [2 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Fis, Mexico City 01000, DF, Mexico
[2] Univ Autonoma Baja California, Fac Ciencias, Ensenada 22800, Baja California, Mexico
来源：
PHYSICA SCRIPTA | 2012年 / T151卷
关键词：
RESONANT STATES; BEHAVIOR;
D O I：
10.1088/0031-8949/2012/T151/014076
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This work discusses Hermitian and non-Hermitian formulations for the time evolution of quantum decay, which involve, respectively, continuum wave functions and resonant states, to show that they lead to an identical description for a large class of well-behaved potentials. Our approach is based on the analytical properties of the outgoing Green function to the problem in the complex wave number plane.
引用
收藏
页数：6
相关论文
共 50 条
  • [41] Feshbach Resonances: The Branching of Quantum Mechanics into Hermitian and Non-Hermitian Formalisms
    Moiseyev, Nimrod
    [J]. JOURNAL OF PHYSICAL CHEMISTRY A, 2009, 113 (26): : 7660 - 7666
  • [42] Systematics of quasi-Hermitian representations of non-Hermitian quantum models
    Znojil, Miloslav
    [J]. ANNALS OF PHYSICS, 2023, 448
  • [43] Non-Hermitian Skin Effect in Non-Hermitian Optical Systems
    Zhang, Yingqiu
    Wei, Zhongchao
    [J]. LASER & PHOTONICS REVIEWS, 2024,
  • [44] Emergent parallel transport and curvature in Hermitian and non-Hermitian quantum mechanics
    Ju, Chia-Yi
    Miranowicz, Adam
    Chen, Yueh-Nan
    Chen, Guang-Yin
    Nori, Franco
    [J]. QUANTUM, 2024, 8 : 1 - 20
  • [45] Interactions of Hermitian and non-Hermitian Hamiltonians
    Bender, Carl M.
    Jones, Hugh F.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (24)
  • [46] Level Spacing Distributions and Quantum Chaos in Hermitian and non-Hermitian Systems
    Asiri Nanayakkara
    Priyangika Wickramarachchi Institute of Fundamental Studies
    [J]. Communications in Theoretical Physics, 2005, 44 (07) : 31 - 36
  • [47] Level spacing distributions and quantum chaos in Hermitian, and non-Hermitian systems
    Nanayakkara, A
    Wickramarachchi, P
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 44 (01) : 31 - 36
  • [48] Non-Hermitian time evolution: From static to parametric instability
    Bossart, Aleksi
    Fleury, Romain
    [J]. PHYSICAL REVIEW A, 2021, 104 (04)
  • [49] Time Evolution of Two-States Non-Hermitian Systems
    Gong-Ping Zheng
    Guang-Tao Wang
    [J]. International Journal of Theoretical Physics, 2021, 60 : 1053 - 1062
  • [50] Non-Hermitian Skin Effect in a Non-Hermitian Electrical Circuit
    Liu, Shuo
    Shao, Ruiwen
    Ma, Shaojie
    Zhang, Lei
    You, Oubo
    Wu, Haotian
    Xiang, Yuan Jiang
    Cui, Tie Jun
    Zhang, Shuang
    [J]. RESEARCH, 2021, 2021
12345