Quantum Studies: Mathematics and Foundations
Công bố khoa học tiêu biểu
* Dữ liệu chỉ mang tính chất tham khảo
Sắp xếp:
Revival time and Aharonov–Bohm-type effect for a point charge in a uniform magnetic field under the spiral dislocation topology effects
Quantum Studies: Mathematics and Foundations - Tập 10 - Trang 79-87 - 2022
We discuss the influence of the spiral dislocation topology on the revival time associated with the interaction of point charge with a uniform magnetic field. We begin by discussing how the spiral dislocation topology can induce a cut-off point, and thus, we analyze the influence of this cut-off point on the interaction of point charge with a uniform magnetic field. We show that the Landau levels ......
Transmission through a regular vs. a superoscillating barrier
Quantum Studies: Mathematics and Foundations - Tập 5 Số 3 - Trang 413-421 - 2018
Relativity of arithmetic as a fundamental symmetry of physics
Quantum Studies: Mathematics and Foundations - Tập 3 - Trang 123-133 - 2015
Arithmetic operations can be defined in various ways, even if one assumes commutativity and associativity of addition and multiplication, and distributivity of multiplication with respect to addition. In consequence, whenever one encounters ‘plus’ or ‘times’ one has certain freedom of interpreting this operation. This leads to some freedom in definitions of derivatives, integrals and, thus, practi......
A new class of superoscillatory functions based on a generalized polar coordinate system
Quantum Studies: Mathematics and Foundations - Tập 7 - Trang 307-313 - 2020
Is it possible for a band-limited signal to possess oscillation that is arbitrarily higher than its highest Fourier component? Common knowledge assumed that the answer is ‘No.’ Counterintuitively, it turns out that there are band-limited functions that are able to oscillate arbitrarily faster than their fastest Fourier components. These are the superoscillatory functions. Since their discovery, su......
Theoretic impetuses and lengths of Feinberg–Horodecki equation
Quantum Studies: Mathematics and Foundations - Tập 9 - Trang 141-153 - 2021
The exact solution of the Feinberg–Horodecki equation for time-dependent harmonic vector potential has been investigated under a one-dimensional system. The quantized momentum and its corresponding un-normalized wave functions were explicitly obtained. The Fisher information (for time and momentum) and variance (for time and momentum) were calculated using expectation values of time and momentum v......
Noise suppression in inverse weak value-based phase detection
Quantum Studies: Mathematics and Foundations - Tập 5 - Trang 579-588 - 2017
We examine the effect of different sources of technical noise on inverse weak value-based precision phase measurements. We find that this type of measurement is similarly robust to technical noise as related experiments in the weak value regime. In particular, the measurements considered here are robust to additive Gaussian white noise and angular jitter noise commonly encountered in optical exper......
A scheme for performing strong and weak sequential measurements of non-commuting observables
Quantum Studies: Mathematics and Foundations - Tập 4 - Trang 13-27 - 2016
Quantum systems usually travel a multitude of different paths when evolving through time from an initial to a final state. In general, the possible paths will depend on the future and past boundary conditions, as well as the system’s dynamics. We present a gedanken experiment where a single system apparently follows mutually exclusive paths simultaneously, each with probability one, depending on w......
Proposed physical explanation for the electron spin and related antisymmetry
Quantum Studies: Mathematics and Foundations - Tập 6 - Trang 45-53 - 2017
We offer a possible physical explanation for the origin of the electron spin and the related antisymmetry of the wave function for a two-electron system, in the framework of nonrelativistic quantum mechanics as provided by linear stochastic electrodynamics. A consideration of the separate coupling of the electron to circularly polarized modes of the random electromagnetic vacuum field, allows to d......
A conjecture concerning determinism, reduction, and measurement in quantum mechanics
Quantum Studies: Mathematics and Foundations - Tập 3 - Trang 279-292 - 2016
It is shown that it is possible to introduce determinism into quantum mechanics by tracing the probabilities in the Born rules back to pseudorandomness in the absolute phase constants of the wave functions. Each wave function is conceived to contain an individual phase factor
$$\exp (\mathrm {i}\alpha )$$
......
Loops, projective invariants, and the realization of the Borromean topological link in quantum mechanics
Quantum Studies: Mathematics and Foundations - Tập 3 - Trang 337-359 - 2016
All the typical global quantum mechanical observables are complex relative phases obtained by interference phenomena. They are described by means of some global geometric phase factor, which is thought of as the “memory” of a quantum system undergoing a “cyclic evolution” after coming back to its original physical state. The origin of a geometric phase factor can be traced to the local phase invar......
Tổng số: 219
- 1
- 2
- 3
- 4
- 5
- 6
- 10