Foundations of Physics LettersCounterfactual reasoning in timesymmetric quantum mechanics - Miller - 2006 () Citation Context ...gh information about the quantum system to identify the CSCO. One way of identifying an observable in a CSCO is by the condition for a quantum system to be “...
A time-symmetric formulation of nonrelativistic quantum mechanics is developed by applying two consecutive boundary conditions onto solutions of a time- symmetrized wave equation. From known probabilities in ordinary quantum mechanics, a time-symmetric parameter P0 is then derived that properly weights the...
Time- symmetric quantum mechanics questioned and de- fended. Physics Today 2011; 64 (5): 62-63. http: //dx.doi.org/10.1063/1.3595150Aharonov, Y., Popescu, S. & Tollaksen, J. Time-symmetric quantum mechanics ques- tioned and defended. Physics Today 64, 62-63 (2011). URL http://...
But it is clear that some effective arrow of time must be retained [24]. Physical theories in general, and standard QM in particular, conform to the Signal-Causality rule—they describe signaling to the future, but not to the past (there are many aspects which are time reversal-symmetric,...
In particular, if the qubit Hamiltonian \(\hat{ {\mathcal H} }\) is real, then the corresponding evolution operator \(\hat{U}(\tau )\) is symmetric that entails \({\hat{U}}_{R}={\bf{1}}\). In the following we assume the unitary \({\hat{U}}_{R}\) to be known and ...
Nearly one century after the birth of quantum mechanics, parity–time symmetry is revolutionizing and extending quantum theories to include a unique family of non-Hermitian Hamiltonians. While conceptually striking, experimental demonstration of parity–time symmetry remains unexplored in quantum electronic ...
The parity-time-reversal ()-symmetric quantum mechanics (QM) (PTQM) has developed into a noteworthy area of research. However, to date, most known studies of PTQM focused on the spectral properties of non-Hermitian Hamiltonian operators. In this work, we propose an axiom in PTQM in order...
This is the fifth in a series of articles addressing the question “What is time?” Here I’ll examine how time in quantum mechanics is strange.
We have a clear explanation of why time normally appears asymmetric at the level of the observer (due to statistical effects at the scale of Avogadro’s number) while still at the particle level being completely symmetric. We have a treatment which goes smoothly from the single to the multiple...
Visualization of branch points in PT-symmetric waveguides. Phys. Rev. Lett. 101, 080402 (2008). Article ADS MathSciNet Google Scholar Bender, C. M., Brody, D. C. & Jones, H. F. Extension of PT-symmetric quantum mechanics to quantum field theory with cubic interaction. Phys. Rev. D...