Wave-Particle Duality and Uncertainty Principle: Phenomenographic
... Although this is known, many introductory quantum physics students still face significant challenges when they first learn about the probabilistic features and non-local theory of quantum mechanics, which disallows any classical interpretation [12-13]. Students’ problems in learning quantum mechanic ...
... Although this is known, many introductory quantum physics students still face significant challenges when they first learn about the probabilistic features and non-local theory of quantum mechanics, which disallows any classical interpretation [12-13]. Students’ problems in learning quantum mechanic ...
Quantum evolution according to real clocks - E
... visited, and thus the passage of time is recorded. Let s k denote the ideal time at which the readout of the clock is k«, i.e., s k is the ideal time of first arrival of the system at the kth cell. For an ideal clock, the time s k and the clock time k« would coincide. However, for a real clock, thes ...
... visited, and thus the passage of time is recorded. Let s k denote the ideal time at which the readout of the clock is k«, i.e., s k is the ideal time of first arrival of the system at the kth cell. For an ideal clock, the time s k and the clock time k« would coincide. However, for a real clock, thes ...
Quantum and Classical Query Complexities of Local Search are
... is a finite set and S ⊆ Σ[n] for some finite set Σ. The input is a function f ∈ S, hidden by an oracle, such that f (x), where x ∈ [n], can be accessed via a query parameterized by x. The output is some t ∈ T such that (f, t) ∈ R. A special case is the functional oracle problem when the relation is ...
... is a finite set and S ⊆ Σ[n] for some finite set Σ. The input is a function f ∈ S, hidden by an oracle, such that f (x), where x ∈ [n], can be accessed via a query parameterized by x. The output is some t ∈ T such that (f, t) ∈ R. A special case is the functional oracle problem when the relation is ...
Heisenberg Uncertainty Principle
... The measuring process in QM always effects the subjected quantum particle. The more exact the measurement the greater the effect. Reducing the accuracy reduces the effect on the particle. It is impossible in principle to make the effect arbitrarily small. ...
... The measuring process in QM always effects the subjected quantum particle. The more exact the measurement the greater the effect. Reducing the accuracy reduces the effect on the particle. It is impossible in principle to make the effect arbitrarily small. ...
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... Gaussian probability with standard deviation Dx. The Heisenberg uncerimportant benchmarks for the qual- tainty relation states that when simultaneously measuring incompatible proportional to 1/ N . This is a ity of a measurement, and they observables such as position x and momentum p, the product of ...
... Gaussian probability with standard deviation Dx. The Heisenberg uncerimportant benchmarks for the qual- tainty relation states that when simultaneously measuring incompatible proportional to 1/ N . This is a ity of a measurement, and they observables such as position x and momentum p, the product of ...
Non-contextual inequalities and dimensionality Johan Ahrens
... experiment and the assumptions made you may need to make sure that you can eject single particles from the source. Say we want to make an ’optical Stern-Gerlach’ experiment, this will work well since the photon, even though it is a spin-one particle, only assume the spin states -1 and 11 . The spin ...
... experiment and the assumptions made you may need to make sure that you can eject single particles from the source. Say we want to make an ’optical Stern-Gerlach’ experiment, this will work well since the photon, even though it is a spin-one particle, only assume the spin states -1 and 11 . The spin ...
Higher-order energy level spacing distributions in the transition
... Brody distribution only describes the so-called ‘near-semiclassical regime’, whereas the so-called ‘far-semiclassical regime’ of extremely high-lying energy levels is captured by the semiclassical Berry–Robnik distribution (Berry and Robnik 1984). Here we are only interested in the ‘near-semiclassic ...
... Brody distribution only describes the so-called ‘near-semiclassical regime’, whereas the so-called ‘far-semiclassical regime’ of extremely high-lying energy levels is captured by the semiclassical Berry–Robnik distribution (Berry and Robnik 1984). Here we are only interested in the ‘near-semiclassic ...
The Lamb shift in the hydrogen atom
... where the labels "theor" and "expt" indicate, respectively, theoretical and experimental results. The correction term hEBG(2pl12), which originates from the effective Dirac equation,5 is usually not included in the Lamb shift. From the theoretical viewpoint the difference in the shifts of the s-leve ...
... where the labels "theor" and "expt" indicate, respectively, theoretical and experimental results. The correction term hEBG(2pl12), which originates from the effective Dirac equation,5 is usually not included in the Lamb shift. From the theoretical viewpoint the difference in the shifts of the s-leve ...
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... Further, such bringing together of phenomenology and the new physics also seems to be in line with the very criteria phenomenologists typically set to themselves. The empirical phenomena encountered in quantum and relativity physics have given rise to a new philosophical situation that poses a chall ...
... Further, such bringing together of phenomenology and the new physics also seems to be in line with the very criteria phenomenologists typically set to themselves. The empirical phenomena encountered in quantum and relativity physics have given rise to a new philosophical situation that poses a chall ...
Programming with Quantum Communication
... recursive programs, and of time and space complexity. The theory of quantum programming provides tools to write both classical and quantum specifications, develop quantum programs that implement these specifications, and reason about their comparative time, space, and communication complexity, all i ...
... recursive programs, and of time and space complexity. The theory of quantum programming provides tools to write both classical and quantum specifications, develop quantum programs that implement these specifications, and reason about their comparative time, space, and communication complexity, all i ...
Quantum Phase Transitions - Subir Sachdev
... between phases characterized by (1) and (2) is well understood, and described by the well-developed theory of classical phase transitions. This shall not be our interest here. Rather, we are interested in moving from magnetic system obeying (1), to a quantum paramagnet obeying (2), by varying a syst ...
... between phases characterized by (1) and (2) is well understood, and described by the well-developed theory of classical phase transitions. This shall not be our interest here. Rather, we are interested in moving from magnetic system obeying (1), to a quantum paramagnet obeying (2), by varying a syst ...
Quantum scattering
... enclosure with a correction in terms of the derivative of the scattering phase shift, approximation accurate to order 1/R. However, not all is well: the area under consideration tends to infinity. We regularize this by subtracting from the result from the free particle density of states d0 (k), for ...
... enclosure with a correction in terms of the derivative of the scattering phase shift, approximation accurate to order 1/R. However, not all is well: the area under consideration tends to infinity. We regularize this by subtracting from the result from the free particle density of states d0 (k), for ...
Postprint
... it is of interest to compare the two approaches. Indeed, as we shall show below, a link can be found when reducing the laser intensity of the streaking field so that one reaches the domain of applicability of the recently developed Phase-Retrieval by Omega Oscillation Filtering (PROOF) scheme, [20]. ...
... it is of interest to compare the two approaches. Indeed, as we shall show below, a link can be found when reducing the laser intensity of the streaking field so that one reaches the domain of applicability of the recently developed Phase-Retrieval by Omega Oscillation Filtering (PROOF) scheme, [20]. ...
Particle in a box
In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.