Space of state vectors in đ«đŻ-symmetric quantum mechanics
From MaRDI portal
Publication:4534815
DOI10.1088/0305-4470/35/7/315zbMath1010.81019arXivquant-ph/0104077OpenAlexW2048175116MaRDI QIDQ4534815
Publication date: 11 June 2002
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0104077
Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)
Related Items
Bound states of the five-parameter exponential-type potential model, Pseudo-Hermiticity, weak pseudo-Hermiticity and \(\eta \)-orthogonality condition, Time evolution for quantum systems with a dynamical Hilbert space, The operational foundations of PT-symmetric and quasi-Hermitian quantum theory, Exact polynomial solution of \({\mathcal P}{\mathcal T}\)/Non-\({\mathcal P}{\mathcal T}\)-symmetric and non-Hermitian modified Woods-Saxon potential by the Nikiforov-Uvarov method, Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries, Krein-space formulation of \(\mathcal{PT}\) symmetry, \(\mathcal{CPT}\)-inner products, and pseudo-Hermiticity, A positive-definite scalar product for free Proca particle, On some meaningful inner product for real Klein-Gordon fields with positive semi-definite norm, Transition elements for a non-Hermitian quadratic Hamiltonian, Nonlocal discrete continuity and invariant currents in locally symmetric effective Schrödinger arrays, Bound-state solutions of the Klein-Gordon equation for the generalized \(PT\)-symmetric hulthĂ©n potential, Eigenvalue problems for the complex PT-symmetric potential \(V(x)=igx\), Remarks on the preservation of no-signaling principle in parity-time-symmetric quantum mechanics, Properties of non-Hermitian quantum field theories., REAL SPECTRUM OF NON-HERMITIAN HAMILTONIANS FOR HULTHĂN POTENTIAL, PT-symmetric solutions of Schrödinger equation with position-dependent mass via point canonical transformation, Handedness of complex PT-symmetric potential barriers, Time-dependent PT symmetric problems, PSEUDO-HERMITIAN INTERACTIONS IN DIRAC THEORY: EXAMPLES, Bounded solutions of the Dirac equation with a PT-symmetric kink-like vector potential in two-dimensional space-time, Relativistic confinement of neutral fermions with partially exactly solvable and exactly solvable PT-symmetric potentials in the presence of position-dependent mass, ${\mathcal{CPT}}$-CONSERVING HAMILTONIANS AND THEIR NONLINEAR SUPERSYMMETRIZATION USING DIFFERENTIAL CHARGE-OPERATORS ${\mathcal C}$, Complex Extension of Quantum Mechanics, Exactly solvable nonseparable and nondiagonalizable two-dimensional model with quadratic complex interaction, Third-order spectral branch points in Krein space related setups: $$\mathcal{P}\mathcal{T}$$ -symmetric matrix toy model, MHD α 2-dynamo and extended Squire equation, ${\cal {PT}}$ PT symmetric, Hermitian and $\mathcal P$P-self-adjoint operators related to potentials in ${\cal {PT}}$PT quantum mechanics, MHD α2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator, Two-dimensional SUSY-pseudo-Hermiticity without separation of variables, Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework, P-, T-, PT-, and CPT-invariance of Hermitian Hamiltonians