A non-Hermitian operator with a real spectrum and a complete set of eigenvectors may serve as the Hamiltonian operator for a unitary quantum system provided that one makes an appropriate choice for the defining the inner product of physical Hilbert state. We study the consequences of such a choice for the representation of states in terms of projection operators and the geometry of the state space. This allows for a careful treatment of the quantum Brachistochrone problem and shows that it is indeed impossible to achieve faster unitary evolutions using PT-symmetric or other non-Hermitian Hamiltonians than those given by Hermitian Hamiltonians
We present a general framework for finding the time-optimal evolution and the optimal Hamiltonian fo...
For a quantum system governed by a non-Hermitian Hamiltonian, we studied the problem of obtaining an...
We propose giving the mathematical concept of the pseudospectrum a central role in quantum mechanics...
Recently, Bender et al. have considered the quantum brachistochrone problem for the non-Hermitian PT...
We present an evaluation of some recent attempts to understand the role of pseudo-Hermitian and PT-s...
Many problems in theoretical physics are very frequently dealt with non-Hermitian operators. Recentl...
We introduce the notion of pseudo-Hermiticity and show that every Hamiltonian with a real spectrum i...
Given an initial quantum state |I 〉 and a final quantum state |F 〉, there exist Hamil-tonians H unde...
Recently Bender, Brody, Jones and Meister found that in the quantum brachistochrone problem the pass...
A possible method to investigate non-Hermitian Hamiltonians is suggested through finding a Hermitian...
A possible method to investigate non-Hermitian Hamiltonians is suggested through finding a Hermitian...
We extend the application of the techniques developed within the framework of the pseudo-Hermitian q...
In recent years there has been much interest in non-Hermitian Hamiltonians with real eigenvalues. In...
We give a necessary and sufficient condition for the reality of the spectrum of a non-Hermitian Hami...
We in this paper study the relation of hermiticity and energy spectrum for Hamiltonians consisting o...
We present a general framework for finding the time-optimal evolution and the optimal Hamiltonian fo...
For a quantum system governed by a non-Hermitian Hamiltonian, we studied the problem of obtaining an...
We propose giving the mathematical concept of the pseudospectrum a central role in quantum mechanics...
Recently, Bender et al. have considered the quantum brachistochrone problem for the non-Hermitian PT...
We present an evaluation of some recent attempts to understand the role of pseudo-Hermitian and PT-s...
Many problems in theoretical physics are very frequently dealt with non-Hermitian operators. Recentl...
We introduce the notion of pseudo-Hermiticity and show that every Hamiltonian with a real spectrum i...
Given an initial quantum state |I 〉 and a final quantum state |F 〉, there exist Hamil-tonians H unde...
Recently Bender, Brody, Jones and Meister found that in the quantum brachistochrone problem the pass...
A possible method to investigate non-Hermitian Hamiltonians is suggested through finding a Hermitian...
A possible method to investigate non-Hermitian Hamiltonians is suggested through finding a Hermitian...
We extend the application of the techniques developed within the framework of the pseudo-Hermitian q...
In recent years there has been much interest in non-Hermitian Hamiltonians with real eigenvalues. In...
We give a necessary and sufficient condition for the reality of the spectrum of a non-Hermitian Hami...
We in this paper study the relation of hermiticity and energy spectrum for Hamiltonians consisting o...
We present a general framework for finding the time-optimal evolution and the optimal Hamiltonian fo...
For a quantum system governed by a non-Hermitian Hamiltonian, we studied the problem of obtaining an...
We propose giving the mathematical concept of the pseudospectrum a central role in quantum mechanics...