Recently developed methods for PT-symmetric models are applied to quantum-mechanical matrix models. We consider in detail the case of potentials of the form $V=-(g/N^{p/2-1})Tr(iM)^{p}$ and show how the calculation of all singlet wave functions can be reduced to solving a one-...
Physical aspects of pseudo-Hermitian andPT-symmetric quantum mechanics For a non-Hermitian Hamiltonian H possessing a real spectrum, we introduce a canonical orthonormal basis in which a previously introduced unitary mapping o... A Mostafazadeh,A Batal - 《Journal of Physics A Mathematical & General...
Remarks on the PT-pseudo-norm in PT-symmetric quantum mechan- ics. Journal of Physics A: Mathematical and General, 38(16):3665, 2005.Duc Tai Trinh, Remarks on the PT-pseudo-norm in PT-symmetric quan- tum mechanics, J. Phys. A 38 (2005), no. 16, 3665-3677....
CzechRepublicAbstract.Motivatedbythedualityofnormalizablestatesandthepresenceofthequasi-parityquantumnumberq=±1inPTsymmetric(non-Hermitian)quantummechanicalpotentialmodels,therelationofPTsymmetryandsupersymmetry(SUSY)isstudied.AsanillustrativeexamplethePTinvariantversionoftheScarfIIpotentialispresented,anditisshownthatthe...
(2015 Phys. Rev. Lett. 114 150601), where the Jarzynski equality is generalised to non-Hermitian quantum mechanics, we prove in this work a stronger form of Jarzynski equality, the Crooks fluctuation theorem, also in the non-Hermitian formalism when the system is in the unbroken -symmetric ...
\mathcal{PT} \mathcal{PT} -symmetric quantum mechanics has been considered an important theoretical framework for understanding physical phenomena in \mathcal{PT} \mathcal{PT} -symmetric systems, with a number of \mathcal{PT} \mathcal{PT} -symmetry related applications. This line of research...
PT-Symmetric Quantum Mechanics PT-Symmetric Classical Mechanics PT-Symmetric Quantum Field Theory Advanced Topics inPTSymmetry: Proof of Reality for Some Simple Examples Exactly SolvablePT-Symmetric Models Kreĭn-Space Theory and PTQM PT-Symmetric Deformations of Nonlinear Integrable Systems ...
Calculation of the Hidden Symmetry Operator in PT-Symmetric Quantum Mechanics Carl M. BenderPeter N. MeisingerQing-hai Wang Nov 2002 In a recent paper it was shown that if a Hamiltonian H has an unbroken PT symmetry, then it also possesses a hidden symmetry represented by the linear operator...
A conceptual framework extending (time-independent) PT -symmetric quantum mechanics into the timedependent domain is presented. It is built upon a nontrivial time-dependent metric operator identified here and works for generic finite-dimensional non-Hermitian systems. All the ingredients of our framewor...
Reuter, The operator C in PT-symmetric quantum theories, J. Phys. A: Math. Gen. 37 (43) (2004) 10139-10165.Bender CM, Brod J, Refig A, Reuter ME. The C operator in PT -symmetric quantum theories. J Phys A 2004;37:10139-10165....