Three Myths about Time Reversal in Quantum Theory
... growing stack of pancakes, why should time reversal involve anything other than reversing the order of pancakes in the stack? Here is one reason: properties at an instant often depend essentially on temporal direction, even though this may not be as apparent as in the case of velocity. Consider the ...
... growing stack of pancakes, why should time reversal involve anything other than reversing the order of pancakes in the stack? Here is one reason: properties at an instant often depend essentially on temporal direction, even though this may not be as apparent as in the case of velocity. Consider the ...
Quantum Heat Engines and Refrigerators: Continuous Devices
... these models serve as a template for real devices. Gedanken heat engines are an integral part of thermodynamical theory. In 1824, Carnot (1) set the stage by analyzing an ideal engine. His analysis preceded the systematic formulation that led to the first and second laws of thermodynamics (4). Amazin ...
... these models serve as a template for real devices. Gedanken heat engines are an integral part of thermodynamical theory. In 1824, Carnot (1) set the stage by analyzing an ideal engine. His analysis preceded the systematic formulation that led to the first and second laws of thermodynamics (4). Amazin ...
EMBEDDABLE QUANTUM HOMOGENEOUS SPACES 1
... in the compact quantum group context and he proved that these three classes are consecutively strictly smaller. Moreover in his work on quantum spheres ([15]) he showed that by allowing (quantum) homogeneous spaces which are not of the quotient type we reveal a wealth of new examples of interesting ...
... in the compact quantum group context and he proved that these three classes are consecutively strictly smaller. Moreover in his work on quantum spheres ([15]) he showed that by allowing (quantum) homogeneous spaces which are not of the quotient type we reveal a wealth of new examples of interesting ...
Electrostatic lattice with alternating
... particle optical systems, based on differential algebraic methods. In the EDM search, it is the only program which allows the spin-orbit motion of millions of particles to be simulated over a real time scale experiment during n x1000 seconds. At present, we use the MPI (Message Passing Interface) ve ...
... particle optical systems, based on differential algebraic methods. In the EDM search, it is the only program which allows the spin-orbit motion of millions of particles to be simulated over a real time scale experiment during n x1000 seconds. At present, we use the MPI (Message Passing Interface) ve ...
How to Construct Quantum Random Functions
... The answer is simple: many of the constructions of standard-secure pseudorandom functions are in fact quantum-secure. However, as explained above, new techniques are required to actually prove security. We start by showing that, given the existence of a standard-secure pseudorandom function, there a ...
... The answer is simple: many of the constructions of standard-secure pseudorandom functions are in fact quantum-secure. However, as explained above, new techniques are required to actually prove security. We start by showing that, given the existence of a standard-secure pseudorandom function, there a ...
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.