mjcrescimanno.people.ysu.edu
... QHO in from a more abstract, algebraic (and more useful!) point of view. This is not just repackaging; it will be key to undertstanding more aspects of the classical limit and is also the basis of the idea of what a particle is in quantum field theory. ...
... QHO in from a more abstract, algebraic (and more useful!) point of view. This is not just repackaging; it will be key to undertstanding more aspects of the classical limit and is also the basis of the idea of what a particle is in quantum field theory. ...
The Uncertainty Principle
... became known as wave mechanics. Schrödinger assumed that an electron in an atom could be represented as an oscillating charge cloud, evolving continuously in space and time according to a wave equation. The discrete frequencies in the atomic spectra were not due to discontinuous transitions (quantum ...
... became known as wave mechanics. Schrödinger assumed that an electron in an atom could be represented as an oscillating charge cloud, evolving continuously in space and time according to a wave equation. The discrete frequencies in the atomic spectra were not due to discontinuous transitions (quantum ...
Slides
... Bose condensation in a fluid of interacting particles involves the formation of a coherent matter field and leads to superfluidity. Phase coherence of the matter field leads to the quantization of circulation and to the existence of topological defects in the form of quantized vortices. These ...
... Bose condensation in a fluid of interacting particles involves the formation of a coherent matter field and leads to superfluidity. Phase coherence of the matter field leads to the quantization of circulation and to the existence of topological defects in the form of quantized vortices. These ...
All forces arise from the interactions between different objects
... in which the fundamental particles are thought of as excitation modes of elementary strings (fundamental harmonics). Think of a guitar string that has been tuned by stretching the string under tension across the guitar [5]. Depending on how the string is plucked and how much tension is in the string ...
... in which the fundamental particles are thought of as excitation modes of elementary strings (fundamental harmonics). Think of a guitar string that has been tuned by stretching the string under tension across the guitar [5]. Depending on how the string is plucked and how much tension is in the string ...
I am grateful to Mike Weismann for guiding much of this discussion
... necessitate a probabilistic treatment, so that the ψ-function is interpreted (through |ψ|2) as representing spatial probabilities (19). In the extrapolation to time-dependent systems, the quantized states are ‘borrowed’ from the description of the transition, conservation of momentum is handled thro ...
... necessitate a probabilistic treatment, so that the ψ-function is interpreted (through |ψ|2) as representing spatial probabilities (19). In the extrapolation to time-dependent systems, the quantized states are ‘borrowed’ from the description of the transition, conservation of momentum is handled thro ...
Computational advantage from quantum
... that is, if property Py is true, the result of the measurement is going to be y with probability one, so we can find out which property the unitaries have in a single run of the protocol. We should notice that the problem is not trivial, i.e. there exist, for every n, infinitely many sets of unitary ...
... that is, if property Py is true, the result of the measurement is going to be y with probability one, so we can find out which property the unitaries have in a single run of the protocol. We should notice that the problem is not trivial, i.e. there exist, for every n, infinitely many sets of unitary ...
- Harish-Chandra Research Institute
... Until recently we had been looking for qubit systems, in which all qubits are coupled to each other with unequal couplings, so that all transitions are resolved and we have a complete access to the full Hilbert space. ...
... Until recently we had been looking for qubit systems, in which all qubits are coupled to each other with unequal couplings, so that all transitions are resolved and we have a complete access to the full Hilbert space. ...
The structure of perturbative quantum gauge theories
... Renormalization as a decomposition in G The above Hopf algebra H is the algebraic structure underlying the recursive procedure of renormalization. In fact, for a character Uz : H → C, there exists a character Cz : H → C (‘counterterm’) defined for z 6= 0, such that Rz = Cz ∗ Uz is finite at z = 0 [ ...
... Renormalization as a decomposition in G The above Hopf algebra H is the algebraic structure underlying the recursive procedure of renormalization. In fact, for a character Uz : H → C, there exists a character Cz : H → C (‘counterterm’) defined for z 6= 0, such that Rz = Cz ∗ Uz is finite at z = 0 [ ...
A quantum physical argument for panpsychism - Philsci
... result, a quantum physical effect of consciousness (Gao 2004, 2006b, 2008). In this paper, we will analyze this interesting result and discuss its possible implications. The plan of this paper is as follows. Section 2 presents a general analysis of the role of consciousness in physical measurement. ...
... result, a quantum physical effect of consciousness (Gao 2004, 2006b, 2008). In this paper, we will analyze this interesting result and discuss its possible implications. The plan of this paper is as follows. Section 2 presents a general analysis of the role of consciousness in physical measurement. ...
The Polynomial Method in Quantum and Classical
... 0 otherwise Lemma (following Beals et al.): If a quantum algorithm makes T queries to f, the probability p(f) that it accepts is a degree-2T polynomial in the (x,h)’s ...
... 0 otherwise Lemma (following Beals et al.): If a quantum algorithm makes T queries to f, the probability p(f) that it accepts is a degree-2T polynomial in the (x,h)’s ...
What quantum computers may tell us about quantum mechanics
... a hydrogen atom in the singlet state and subsequently measure the electron spin without affecting the proton spin or vice versa. So we might refine the definition in terms of these measurements: Definition 2 An entangled state is one that is not separable, where measurements are performed on one con ...
... a hydrogen atom in the singlet state and subsequently measure the electron spin without affecting the proton spin or vice versa. So we might refine the definition in terms of these measurements: Definition 2 An entangled state is one that is not separable, where measurements are performed on one con ...
Quantum Spins and Quantum Links: The D
... behavior of the 2-d classical O(3) model. In fact, one can view the 2-d antiferromagnetic quantum Heisenberg model in the zero temperature limit as a regularization of the 2-d O(3) model. It is remarkable that this D-theory formulation is entirely discrete, even though the model is usually formulate ...
... behavior of the 2-d classical O(3) model. In fact, one can view the 2-d antiferromagnetic quantum Heisenberg model in the zero temperature limit as a regularization of the 2-d O(3) model. It is remarkable that this D-theory formulation is entirely discrete, even though the model is usually formulate ...
The Quantum Error Correcting Criteria
... Notice that E will not necessarily preserve the trace of a density matrix. This won’t stop us from considering reversing it’s operation. Okay, so given E with some Kraus operators Ak we can ask, under what conditions is it possible to design a quantum code and a recovery operations R such that R ◦ E ...
... Notice that E will not necessarily preserve the trace of a density matrix. This won’t stop us from considering reversing it’s operation. Okay, so given E with some Kraus operators Ak we can ask, under what conditions is it possible to design a quantum code and a recovery operations R such that R ◦ E ...
Effective Constraints of - Institute for Gravitation and the Cosmos
... Institute for Gravitational Physics and Geometry, Pennsylvania State University in collaboration with M. Bojowald, G. Hossain, (IGPG, Penn State) H.H.Hernandez, A. Skirzewski (Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Potsdam, Germany ...
... Institute for Gravitational Physics and Geometry, Pennsylvania State University in collaboration with M. Bojowald, G. Hossain, (IGPG, Penn State) H.H.Hernandez, A. Skirzewski (Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Potsdam, Germany ...
Document
... operator are the total energy of the system The temporal function describes the variation of the potential energy with ...
... operator are the total energy of the system The temporal function describes the variation of the potential energy with ...
3 Nov 08 - Seattle Central College
... H-atom wavefunctions (cont.) • In solving the Schrodinger Equation, two other quantum numbers become evident: …the orbital angular momentum quantum number. Ranges in value from 0 to (n - 1 ). ml … the “z component” of orbital angular momentum. Ranges in value from - to 0 to . • We can characterize ...
... H-atom wavefunctions (cont.) • In solving the Schrodinger Equation, two other quantum numbers become evident: …the orbital angular momentum quantum number. Ranges in value from 0 to (n - 1 ). ml … the “z component” of orbital angular momentum. Ranges in value from - to 0 to . • We can characterize ...
Can Bohmian Mechanics Be Made Background Independent?
... The intuitive notion of background independence is, indeed, very simple: a theory is background independent if it is the case that the “container-contained” metaphor does not apply to it or, less metaphorically, if it is the case that all the “actors” entering the physical description are subjected ...
... The intuitive notion of background independence is, indeed, very simple: a theory is background independent if it is the case that the “container-contained” metaphor does not apply to it or, less metaphorically, if it is the case that all the “actors” entering the physical description are subjected ...