Generalized pt symmetry and real spectra
WebJan 24, 2024 · The bound state spectra of the generalized, PT-symmetric Hulthén potential can be found from , and we write it explicitly as with where . The obtained result says that four different solutions can be possible, and we expect that one of them, at least, gives a real spectra for the PT-symmetric Hulthén potential [ 4 ]. WebA generalized antiunitary operator of the class (11), whose symmetry is not reducible to PT, describes a particle in the plane with a complex two …
Generalized pt symmetry and real spectra
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WebSep 22, 2024 · We illustrate how generalized parity-time (PT) symmetry can be applied within the Floquet formalism and show that our model's fully real quasienergy spectrum … WebAug 16, 2012 · The case of a square well with discrete PT symmetry but with intervals of non-hermiticity was shown in reference to produce real ... Mandilara, A. Generalized PT symmetry and real spectra. J. Phys. A 2002, 35, L467–L471. [Google Scholar] Znojil, M. SI potentials with PT symmetry. J. Phys. A 2000, 33, L61–L62. [Google Scholar] Levai, …
WebJun 18, 2024 · In this case, H is of the exact PT symmetry. Or, PT symmetry is spontaneously broken. In summary, H in eq. is a generalized APT-symmetric Hamiltonian, having various phases, such as real- and non-real-spectra phases, PT-exact symmetry or PT-spontaneously-broken phases, APT and Hermitian symmetry phases, etc., as the … WebAug 18, 2024 · [11] Bender C M, Berry M V and Mandilara A 2002 Generalized PT symmetry and real spectra J. Phys. A: Math. Gen. 35 L467–71. Go to reference in article IOPscience Google Scholar [12] Caliceti E, Cannata F and Graffi S 2006 Perturbtion theory of PT-symmetric Hamiltonians J. Phys. A: Math. Gen. 39 10019–27
WebFeb 1, 2024 · We study a class of physically intriguing PT-symmetric generalized Scarf-II (GS-II) potentials, which can support exact solitons in one- and multi-dimensional nonlinear Schrödinger equation.In the 1D and multi-D settings, we find that a properly adjusted localization parameter may support fully real energy spectra.Also, continuous families of … WebConstruction of Non-PT-SymmetricComplex Potentials with All-Real Spectra Jianke Yang Abstract We review recent work on the generalization of PTsymmetry.We show that, in addition to PT-symmetric complex potentials, there are also large classes of non-PT-symmetric complex potentials which also feature all-real spectra.In addition, some …
Web3. Broken PT-symmetry Now consider the other complex Hermitian operator 2 as Parity operator. Above analysis will yield the Hamiltonian 2 2 2 ib H ia ++ = − (38) The corresponding eigenvalues are (1) 222 b + 2 (39) In this case spectra becomes broken .In view of broken spectra, PT-symmetry is not interesting as the eigenvalues are complex.
WebApr 28, 2013 · If the characteristic polynomial has real coefficients, then H has a generalized -symmetry. Interesting models arise in statistical mechanics with hidden -symmetry when the transfer matrix T is real but not symmetric, as will be discussed in §4. The striking feature of the ix 3 model is that all of its energy eigenvalues are real. the club is the best placeWebJan 5, 2024 · Here, because of PT symmetry, the band gaps can entirely close and the two first bands can merge, forming a closed surface exhibiting complex conjugate pairs in the overlapping regions and real ... the club isn\u0027t the best place lyricsWebJul 26, 2002 · Generalized PT symmetry and real spectra. Carl M Bender 1, M V Berry 2 and Aikaterini Mandilara 1. Published 26 July 2002 • Published under licence by IOP … the club isn\u0027t the best placeWebOct 21, 2013 · We generalize a finite parity-time (PT?>)-symmetric network of the discrete nonlinear Schrödinger type and obtain general results on linear stability of the zero … the club isn\\u0027t the best place to find a loverWebHamiltonian commutes with a generalized PT symmetry. Here, “adiabatically” refers to keeping the gap to all other states finite and “generalized PT” indicates that P does not have to be spatial inversion, but might be any unitary operator. We first discuss a general mathematical condition for the eigenvalues to stay real and, hence ... the club izleWebJul 26, 2002 · Generalized PT symmetry and real spectra. Carl M Bender 1, M V Berry 2 and Aikaterini Mandilara 1. Published 26 July 2002 • Published under licence by IOP Publishing Ltd Journal of Physics A: Mathematical and General, Volume 35, Number 31 … INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: … iopscience.iop.org the club jeseniceWebSep 30, 2024 · Our electrostatics analogy exploits the hitherto unexploited parallel between the conformal structure of electric field lines in real space, and the complex spectral flow as non-Hermitian states accumulate along boundaries (Fig. 1 and Table 1).It identifies non-Hermitian periodic/open boundary condition (PBC/OBC) spectra respectively with the … the club jackson