The quantum mechanical tipping pencil--
... Thanks to the anonymous reviewer who has gently shown me that since neither classical nor quantum mechanics predicts that the pencil necessarily falls over, ‘ . . . one is left believing that this system should remain in its nearly unstable equilibrium situation for a very long time.’ This is nothin ...
... Thanks to the anonymous reviewer who has gently shown me that since neither classical nor quantum mechanics predicts that the pencil necessarily falls over, ‘ . . . one is left believing that this system should remain in its nearly unstable equilibrium situation for a very long time.’ This is nothin ...
Document
... exist a smallest segment that is a sort of absolute meter. Than let's assume that the postulates of geometry are compatible with the hypothesis of this absolute meter; via Pitagora's theorem we arrive to a contradiction: the diagonal of the square is not measurable in this way. So we need to introdu ...
... exist a smallest segment that is a sort of absolute meter. Than let's assume that the postulates of geometry are compatible with the hypothesis of this absolute meter; via Pitagora's theorem we arrive to a contradiction: the diagonal of the square is not measurable in this way. So we need to introdu ...
Simple Resonance Hierarchy for Surmounting Quantum Uncertainty
... noetic aspects of the continuous-state symmetry breaking of spacetime topology which requires further extension to include action of the noetic unitary field in additional dimensions. The Noetic Field [32,33,38-51] produces periodic symmetry vari-ations with long-range coherence [35-37] that can le ...
... noetic aspects of the continuous-state symmetry breaking of spacetime topology which requires further extension to include action of the noetic unitary field in additional dimensions. The Noetic Field [32,33,38-51] produces periodic symmetry vari-ations with long-range coherence [35-37] that can le ...
Feynman lectures on computation
... of elementary quantum gates, single-, two-qubit... • The sequence of these quantum gates that are applied to the quantum input depends on the classical variables x and N complicatedly. • We need a classical computer processes the classical variables and produces an output that is a program for the q ...
... of elementary quantum gates, single-, two-qubit... • The sequence of these quantum gates that are applied to the quantum input depends on the classical variables x and N complicatedly. • We need a classical computer processes the classical variables and produces an output that is a program for the q ...
- Philsci
... quantum system. According to protective measurement, a charged quantum system has effective mass and charge density distributing in space, proportional to the square of the absolute value of its wave function. In a realistic interpretation, the wave function of a quantum system can be taken as a des ...
... quantum system. According to protective measurement, a charged quantum system has effective mass and charge density distributing in space, proportional to the square of the absolute value of its wave function. In a realistic interpretation, the wave function of a quantum system can be taken as a des ...
A new look at the Milne Universe\\ and its ground state wave functions
... propagators. AQM takes into account ordinary as well as p-adic quantum effects and may be regarded as a starting point for construction of a more complete M-theory. In the low-energy limit adelic quantum mechanics becomes the ordinary one [21]. 5.2.1. Mini Super-Space Models in p-Adic and Adelic Qua ...
... propagators. AQM takes into account ordinary as well as p-adic quantum effects and may be regarded as a starting point for construction of a more complete M-theory. In the low-energy limit adelic quantum mechanics becomes the ordinary one [21]. 5.2.1. Mini Super-Space Models in p-Adic and Adelic Qua ...
Life in Configuration Space - Philsci
... and so on for the other particles. Classically, the configuration space representation can be regarded as simply a convenient summary of the positions of all the particles; the positions of the particles determine the configuration space point, and vice versa. But quantum mechanically, things are n ...
... and so on for the other particles. Classically, the configuration space representation can be regarded as simply a convenient summary of the positions of all the particles; the positions of the particles determine the configuration space point, and vice versa. But quantum mechanically, things are n ...
Stability of Complex Biomolecular Structures: van der Waals
... treatment that the expected qualitative behavior is observed. The stabilization effect is very similar for the double- and tetra-stranded structures, certainly within our errors, which are reported in Table 1. Also, even though the quantum contribution is small, we are here comparing quite different s ...
... treatment that the expected qualitative behavior is observed. The stabilization effect is very similar for the double- and tetra-stranded structures, certainly within our errors, which are reported in Table 1. Also, even though the quantum contribution is small, we are here comparing quite different s ...
chapter-26
... (Planck’s Constant, a Proportionality Constant) 6.626 x 10-34 Js) 6.626 x 10-34 kgm2/s – Atoms, therefore, emit only certain quantities of energy and the energy of an atom is described as being “quantized” – Thus, an atom changes its energy state by emitting (or absorbing) one or more quanta T.Nor ...
... (Planck’s Constant, a Proportionality Constant) 6.626 x 10-34 Js) 6.626 x 10-34 kgm2/s – Atoms, therefore, emit only certain quantities of energy and the energy of an atom is described as being “quantized” – Thus, an atom changes its energy state by emitting (or absorbing) one or more quanta T.Nor ...
4. The Hamiltonian Formalism
... which is Liouville’s equation. Notice that Liouville’s theorem holds whether or not the system conserves energy. (i.e. whether or not ∂H/∂t = 0). But the system must be described by a Hamiltonian. For example, systems with dissipation typically head to regions of phase space with q̇i = 0 and so do n ...
... which is Liouville’s equation. Notice that Liouville’s theorem holds whether or not the system conserves energy. (i.e. whether or not ∂H/∂t = 0). But the system must be described by a Hamiltonian. For example, systems with dissipation typically head to regions of phase space with q̇i = 0 and so do n ...
Revisiting a Limit on Efficient Quantum Computation Tarsem S. Purewal Jr. ABSTRACT
... the jth bit of a and b can be computed in time polynomial in j. ...
... the jth bit of a and b can be computed in time polynomial in j. ...
Microscopic Chaos and Nonequilibrium Statistical Mechanics: From
... Bohr frequencies ω = (Em − En )/h̄ for systems with a discrete energy spectrum and is continuous otherwise. In one-particle quantum systems, a transport coefficient like diffusion is typically either infinite (α = ∞) in the case of a continuous band-spectrum due to ballistic motion, or zero (α = 0) ...
... Bohr frequencies ω = (Em − En )/h̄ for systems with a discrete energy spectrum and is continuous otherwise. In one-particle quantum systems, a transport coefficient like diffusion is typically either infinite (α = ∞) in the case of a continuous band-spectrum due to ballistic motion, or zero (α = 0) ...
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.