期刊文献+

PT Symmetric Quantum Models Living in an Auxiliary Pontryagin Space

PT Symmetric Quantum Models Living in an Auxiliary Pontryagin Space
下载PDF
导出
出处 《Journal of Mathematics and System Science》 2012年第2期102-109,共8页 数学和系统科学(英文版)
关键词 HILBERT空间 量子模型 相互作用玻色子模型 KREIN空间 生活 对称 度量空间 Quantum mechanics, Hermitizations of observables, auxiliary Krein and Pontryagin spaces, Jacobi-matrix Hamiltonians, Dieudonne equation.
  • 相关文献

参考文献31

  • 1A. Messiah, Quantum Mechanics, 12th printing, North-Holland, 1991.
  • 2M. Znojil, Three-Hilbert-space formulation of quantum mechanics, SIGMA 5 (2009) 1-19.
  • 3J. Dieudonne, Quasi-Hermitian operators, in Proc. Int. Symp. Lin. Spaces, Pergamon, Oxford, 1961, pp. 115-122.
  • 4C.M. Bender, Making sense of non-hermitian Hamiltonians, Rep. Prog. Phys. 70 (2007) 947-1018.
  • 5H. Langer, C. Tretter, A Krein space approach to PT symmetry, Czechosl. J. Phys. 70 (2004) 1 i 13-1120.
  • 6P. Siegl, The non-equivalence of pseudo-Hermiticity and presence of antilinear symmetry, PRAMANA-Journal of Physics 73 (2009) 279-287.
  • 7M. Znojil, Conservation of pseudo-norm in PT symmetric quantum mechanics, arXiv: math-ph/0104012.
  • 8C.M. Bender, D.C. Brody, H.F. Jones, Complex extension of quantum mechanics, Phys. Rev. Lett. 89 (2002) 270401.
  • 9E.B. Davies, Linear Operators and Their Spectra, Cambridge University Press, 2007.
  • 10P. Dorey, C. Dunning, R. Tateo, The ODE/IM correspondence, J. Phys. A: Math. Theor. 40 (2007) R205-R283.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部