35 research outputs found
Tabulating families of functions with symmetries
We propose a general algorithm which aims at optimizing the usage of computer resources fortabulating families of functions possessing known symmetries. The approach is based on the grouptheoretical description of symmetry relations among the functions and their parameters, whereorbits play a crucial role
A review of some scientific papers by Prof. Stanisław Szpikowski
A short review of the most important (arbitrary choice) papers published by Prof. Stanisław Szpikowski (1926-2014) is presented
Projection evolution of quantum states
We discuss the problem of time in quantum mechanics. In the traditional
formulation time enters the model as a parameter, not an observable, which
follows from the famous Pauli theorem. It is now known, that Pauli's
assumptions were too strong and that by removing some of them time can be
represented as a quantum observable. In this case, instead of the unitary time
evolution, other operators which map the space of initial states into the space
of final states at each step of the evolution can be used. This allows to treat
time as a quantum observable in a consistent way.
We present the projection evolution model and show how the traditional
Schroedinger evolution can be obtained from it. We propose the form of the time
operator which satisfies the energy-time uncertainty relation. As an example,
we discuss the temporal version of the double-slit experiment.Comment: Merged with arxiv:1910.1315
Linux based Live CD on optical disks
We present an introduction to LiveCD system remastering based on a prospective UnionFS filesystem
Quantum gates and projection evolution
A new model of quantum objects time evolution called the projection evolution is analyzed against a possibility of constructing the basic quantumgates following the Nielsen's scheme
Quantum Belinski-Khalatnikov-Lifshitz scenario
We present the quantum model of the asymptotic dynamics underlying the
Belinski-Khalatnikov-Lifshitz (BKL) scenario. The symmetry of the physical
phase space enables making use of the affine coherent states quantization. Our
results show that quantum dynamics is regular in the sense that during quantum
evolution the expectation values of all considered observables are finite. The
classical singularity of the BKL scenario is replaced by the quantum bounce
that presents a unitary evolution of considered gravitational system. Our
results suggest that quantum general relativity is free from singularities.Comment: 33 pages, 4 figures, version accepted for publication in European
Physical Journal C. arXiv admin note: substantial text overlap with
arXiv:1705.0402