A Selective History of the Stone-von Neumann Theorem
... Standards of proof are certainly not the same in physics and mathematics, and one can see this when comparing Weyl’s book, which is full of heuristic arguments that can be made into proofs, even if they are not what mathematicians would call 7The idea of specifically requiring a Hilbert space, rathe ...
... Standards of proof are certainly not the same in physics and mathematics, and one can see this when comparing Weyl’s book, which is full of heuristic arguments that can be made into proofs, even if they are not what mathematicians would call 7The idea of specifically requiring a Hilbert space, rathe ...
Quantum Computing - Computer Science and Engineering
... can flip the state of one qubit depending on the state of the other. This too is essential to building a practical quantum computer, and Steffen says his team can successfully flip that state 95 percent of the time — thanks to a decoherence time of about 10 microseconds.” source: http://www.wired.co ...
... can flip the state of one qubit depending on the state of the other. This too is essential to building a practical quantum computer, and Steffen says his team can successfully flip that state 95 percent of the time — thanks to a decoherence time of about 10 microseconds.” source: http://www.wired.co ...
Classical-quantum correspondence and the
... for the same system [1]. One can also attempt to rationalize the shapes of eigenstates in strongly coupled systems in terms of scarring [2] by classical periodic orbits [3]. In the work to be discussed here, we seek to establish quantitative connections between the quantum mechanical properties (lev ...
... for the same system [1]. One can also attempt to rationalize the shapes of eigenstates in strongly coupled systems in terms of scarring [2] by classical periodic orbits [3]. In the work to be discussed here, we seek to establish quantitative connections between the quantum mechanical properties (lev ...
On the Reality of the Quantum State
... then there’s Sundays” [7]. It was in this free time that the 26 year old, whose name would one day become synonymous with genius, prepared three papers to be published in Annalen der Physik, each of which was revolutionary and would have catapulted him to fame in its own right. The first was his the ...
... then there’s Sundays” [7]. It was in this free time that the 26 year old, whose name would one day become synonymous with genius, prepared three papers to be published in Annalen der Physik, each of which was revolutionary and would have catapulted him to fame in its own right. The first was his the ...
PDF only - at www.arxiv.org.
... of the old quantum theory contradicted classical mechanics, on which they were based. Attempts to resolve these contradictions have ultimately led to the creation of wave mechanics (although the term “wave mechanics” is now almost not used; it appears that it better reflects the essence of this theo ...
... of the old quantum theory contradicted classical mechanics, on which they were based. Attempts to resolve these contradictions have ultimately led to the creation of wave mechanics (although the term “wave mechanics” is now almost not used; it appears that it better reflects the essence of this theo ...
ON THE TERMS MASS AND WEIGHT
... are convenient numerical quantities, the energies for dislodging electrons from single atoms are very small. This can be overcome if ioniszation energies are expressed in kJ mole–1, the recommended unit. According to Einstein [6] the relation between mass (at rest) and energy is E=mc2 ...
... are convenient numerical quantities, the energies for dislodging electrons from single atoms are very small. This can be overcome if ioniszation energies are expressed in kJ mole–1, the recommended unit. According to Einstein [6] the relation between mass (at rest) and energy is E=mc2 ...
Higgs-‐Englert boson and vacuity: A parallelism between the vision
... quantity of energy corresponding to the “size” of the exchanged particle (the tennis ball), this one can then be really observed during a short time. ...
... quantity of energy corresponding to the “size” of the exchanged particle (the tennis ball), this one can then be really observed during a short time. ...
Quantum Computation - Bard College at Simon`s Rock
... ceases to be of concern. The simplest such system, and also the one taken to be the fundamental building block for quantum computing, is when V = C2 . Such a system has two basis vectors, usually denoted |0i and |1i, and is called a qubit. The previous postulate places a restriction on how we may de ...
... ceases to be of concern. The simplest such system, and also the one taken to be the fundamental building block for quantum computing, is when V = C2 . Such a system has two basis vectors, usually denoted |0i and |1i, and is called a qubit. The previous postulate places a restriction on how we may de ...
Conceptual Modeling and Ontological Analysis
... – Applying well-founded principles and methodologies to existing standards • Aim at harmonization and mutual understanding (does not necessarily imply modification nor compatibility) ...
... – Applying well-founded principles and methodologies to existing standards • Aim at harmonization and mutual understanding (does not necessarily imply modification nor compatibility) ...
Observation of oscillatory energy exchange in a coupled-atom
... absence of atoms, and x the intracavity field in the presence of atoms, where jxj2 , jyj2 express an intracavity photon number of units of n0 . Equations (3) are written in a rotating frame of frequency vL , the frequency of the external driving field, and time is scaled in units of g 21 st gtd, m ...
... absence of atoms, and x the intracavity field in the presence of atoms, where jxj2 , jyj2 express an intracavity photon number of units of n0 . Equations (3) are written in a rotating frame of frequency vL , the frequency of the external driving field, and time is scaled in units of g 21 st gtd, m ...
Holomorphic Methods in Mathematical Physics
... In the first line we have used the basic property of the φz ’s and Parseval’s Theorem. In the second line we have used the basic property of φz to evaluate hφz , ej i , and we have written out hej , F i as an integral. In the third line we have interchanged the sum and integral, as justified by the ...
... In the first line we have used the basic property of the φz ’s and Parseval’s Theorem. In the second line we have used the basic property of φz to evaluate hφz , ej i , and we have written out hej , F i as an integral. In the third line we have interchanged the sum and integral, as justified by the ...
High-order harmonic generation processes in
... of high-order harmonic generation by an anharmonic oscillator. The quartic anharmonic oscillator, or ‘‘Duffing’’ oscillator, seems to be indeed the simplest centrosymmetric nonlinear system, and as such is widely used as an introductive model in nonlinear optics textbooks @25,26#. We have recently p ...
... of high-order harmonic generation by an anharmonic oscillator. The quartic anharmonic oscillator, or ‘‘Duffing’’ oscillator, seems to be indeed the simplest centrosymmetric nonlinear system, and as such is widely used as an introductive model in nonlinear optics textbooks @25,26#. We have recently p ...
quantum transition-state theory. II. Recovery of the exact quantum
... rate, but quantum TST does not, since real-time coherences may increase the quantum flux upon recrossing.1 Quantum TST breaks down if such coherences are large; one then has no choice but to attempt to model the real-time quantum dynamics. However, in many systems (especially in the condensed phase) ...
... rate, but quantum TST does not, since real-time coherences may increase the quantum flux upon recrossing.1 Quantum TST breaks down if such coherences are large; one then has no choice but to attempt to model the real-time quantum dynamics. However, in many systems (especially in the condensed phase) ...
pdf
... The advantage of the symplectic/Hamiltonian viewpoint is that we make use of the arsenal of tools for Hamiltonian systems; see e.g., Abraham and Marsden [1] and Marsden and Ratiu [21]. Most notably, symmetry and conservation laws in Hamiltonian systems are linked via Noether’s theorem: Practically s ...
... The advantage of the symplectic/Hamiltonian viewpoint is that we make use of the arsenal of tools for Hamiltonian systems; see e.g., Abraham and Marsden [1] and Marsden and Ratiu [21]. Most notably, symmetry and conservation laws in Hamiltonian systems are linked via Noether’s theorem: Practically s ...
Surrey seminar on CQP - School of Computing Science
... Suppose we measure the first qubit from this state: With probability 0.5 the result is 0 and the new state is |0|0. With probability 0.5 the result is 1 and the new state is |1|1. In both cases, the two qubits now have the same state. Measuring the second qubit is guaranteed to give the same res ...
... Suppose we measure the first qubit from this state: With probability 0.5 the result is 0 and the new state is |0|0. With probability 0.5 the result is 1 and the new state is |1|1. In both cases, the two qubits now have the same state. Measuring the second qubit is guaranteed to give the same res ...