Optimal time evolution for pseudo-Hermitian Hamiltonians
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Publication:2214763
DOI10.1134/S0040577920080048zbMath1453.81021OpenAlexW3080980295WikidataQ114075201 ScholiaQ114075201MaRDI QIDQ2214763
Publication date: 10 December 2020
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0040577920080048
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Orthogonal and unitary groups in metric geometry (51F25)
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Cites Work
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- Adiabatic approximation for the evolution generated by an \(A\)-uniformly pseudo-Hermitian Hamiltonian
- Bounds on variation of spectral subspaces under \(J\)-self-adjoint perturbations
- Energy–time uncertainty relation for driven quantum systems
- $\mathcal {PT}$-symmetric non-commutative spaces with minimal volume uncertainty relations
- Faster than Hermitian Quantum Mechanics
- On optimum Hamiltonians for state transformations
- The quantum brachistochrone problem for non-Hermitian Hamiltonians
- Elementary derivation for passage times
- ExactPT-symmetry is equivalent to Hermiticity
- Geometry of quantum evolution
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Pseudo-Hermiticity and generalized PT- and CPT-symmetries
- PT-symmetry entails pseudo-Hermiticity regardless of diagonalizability
- CPT-Frames for Non-Hermitian Hamiltonians
- Generalizations of the Heisenberg and Schrödinger uncertainty relations
- Time evolution of non-Hermitian Hamiltonian systems
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