
Observations on Hyperplane: II. Dynamical Variables and
... insufficient for physical conceptual adequacy. There are natural physical observables with space-like unbounded functional dependence on the local fields. The total energy, momentum, angular momentum and the center of energy (CE) and Newton-Wigner (NW) positions, for arbitrary systems, are among the ...
... insufficient for physical conceptual adequacy. There are natural physical observables with space-like unbounded functional dependence on the local fields. The total energy, momentum, angular momentum and the center of energy (CE) and Newton-Wigner (NW) positions, for arbitrary systems, are among the ...
Probing Electronic Radial Wave Packets Using Impulsive
... calculated distributions in Figs. 3 and 4�b�, respectively. The radial oscillations that are readily observable in both plots occur with the same period and phase. However, there are also clear differences between the measured and simulated results. First, the measured distribution shows a clear asy ...
... calculated distributions in Figs. 3 and 4�b�, respectively. The radial oscillations that are readily observable in both plots occur with the same period and phase. However, there are also clear differences between the measured and simulated results. First, the measured distribution shows a clear asy ...
Full text in PDF form
... So the chain above must be symmetrized by accompaniment of the arrow on the left ,so in an ordinary situation we have a chain: (Early Universe, origin singularity, QMFL, density pro-matrix) → (Large-scale limit, QM, density matrix)→ (Black Hole, singularity, QMFL, density pro-matrix), So it’s more c ...
... So the chain above must be symmetrized by accompaniment of the arrow on the left ,so in an ordinary situation we have a chain: (Early Universe, origin singularity, QMFL, density pro-matrix) → (Large-scale limit, QM, density matrix)→ (Black Hole, singularity, QMFL, density pro-matrix), So it’s more c ...
Quantum computing Markus Kiili Opinnäytetyö
... to a computational problem is called an algorithm. It is a set of instructions that tells how to solve the problem. A measure for the difficulty of a computational problem is how much resources are needed to perform the calculation with the best known algorithm. Although energy and memory needed are ...
... to a computational problem is called an algorithm. It is a set of instructions that tells how to solve the problem. A measure for the difficulty of a computational problem is how much resources are needed to perform the calculation with the best known algorithm. Although energy and memory needed are ...
Exact quantum query complexity
... We present some new examples of total boolean functions f such that QE (f ) is a constant multiple of D(f ) (between 1/2 and 2/3). We show that these separations cannot be obtained by just computing parities of pairs of bits. These separations are based on concatenating small separations found for f ...
... We present some new examples of total boolean functions f such that QE (f ) is a constant multiple of D(f ) (between 1/2 and 2/3). We show that these separations cannot be obtained by just computing parities of pairs of bits. These separations are based on concatenating small separations found for f ...
Computational Complexity: A Modern Approach
... of the quantum world is that somehow or other it appears as if the probabilities would have to go negative..” Richard Feynman, in “Simulating physics with computers,” 1982 Quantum computing is a new computational model that may be physically realizable and may provide an exponential advantage over “ ...
... of the quantum world is that somehow or other it appears as if the probabilities would have to go negative..” Richard Feynman, in “Simulating physics with computers,” 1982 Quantum computing is a new computational model that may be physically realizable and may provide an exponential advantage over “ ...
Affine computation and affine automaton
... operators preserving the summation of vectors are barycentric-preserving, also called affine transformations, which can give the name of our new system: affine system. Thus, the state of an affine system is called an affine state, the entries of which sum to 1. Moreover, a matrix is an affine transf ...
... operators preserving the summation of vectors are barycentric-preserving, also called affine transformations, which can give the name of our new system: affine system. Thus, the state of an affine system is called an affine state, the entries of which sum to 1. Moreover, a matrix is an affine transf ...
Slajd 1
... We propose to use density matrix approach, then 1. We know what to do with any properties of accompanied particles, 2. We can check, when neutrino state is pure, and when it is mixed, 3. Any New Physic (NP) in neutrino interaction can be easy considered, 4. In very natural way we are able to take in ...
... We propose to use density matrix approach, then 1. We know what to do with any properties of accompanied particles, 2. We can check, when neutrino state is pure, and when it is mixed, 3. Any New Physic (NP) in neutrino interaction can be easy considered, 4. In very natural way we are able to take in ...
Cryogenic Control Architecture for Large
... Realizing the classical control and readout system of a quantum computer is a formidable scientific and engineering challenge in its own right, likely requiring the invention of a suite of new devices with tailored physical properties. Already under way for this purpose is the development of near-qu ...
... Realizing the classical control and readout system of a quantum computer is a formidable scientific and engineering challenge in its own right, likely requiring the invention of a suite of new devices with tailored physical properties. Already under way for this purpose is the development of near-qu ...
Wolfgang Ketterle Department of Physics Superfluidity and Coherence in Bose-Einstein Condensates
... only be created in pairs, or can enter a system individually from its boundary. The nucleation process has been a subject of much theoretical interest [5]. Experiments with Bose-Einstein condensates in atom traps are well suited to test theories of nucleation because the boundary of the condensate i ...
... only be created in pairs, or can enter a system individually from its boundary. The nucleation process has been a subject of much theoretical interest [5]. Experiments with Bose-Einstein condensates in atom traps are well suited to test theories of nucleation because the boundary of the condensate i ...
Electrons in Atoms CHAPTER
... chemical behaviors. Atoms of chlorine, a yellow-green gas at room temperature, react readily with atoms of many other elements. Figure 5-1a shows chlorine atoms reacting with steel wool. The interaction of highly reactive chlorine atoms with the large surface area provided by the steel results in a ...
... chemical behaviors. Atoms of chlorine, a yellow-green gas at room temperature, react readily with atoms of many other elements. Figure 5-1a shows chlorine atoms reacting with steel wool. The interaction of highly reactive chlorine atoms with the large surface area provided by the steel results in 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.