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 ...
Can gas hydrate structures be described using - e-Spacio
... Gas hydrates are ice-like inclusion compounds formed from a matrix of water that encapsulates small inert ‘guest’ molecules, for example Ar, Xe, H2 , CH4 or CO2 . Such structures are usually only stable under sufficient pressure1,2 . Hydrates are classified as sI,3 sII,4 and sH5 . The particular str ...
... Gas hydrates are ice-like inclusion compounds formed from a matrix of water that encapsulates small inert ‘guest’ molecules, for example Ar, Xe, H2 , CH4 or CO2 . Such structures are usually only stable under sufficient pressure1,2 . Hydrates are classified as sI,3 sII,4 and sH5 . The particular str ...
What is the Entropy in Entropic Gravity?
... the formulation of the laws of black hole mechanics [1] and the derivation of the BekensteinHawking entropy [2, 3]. More recently, ideas such as the holographic principle [4, 5], black hole complementarity [6], the gauge/gravity correspondence [7–9], and the firewall puzzle [10, 11] have provided fu ...
... the formulation of the laws of black hole mechanics [1] and the derivation of the BekensteinHawking entropy [2, 3]. More recently, ideas such as the holographic principle [4, 5], black hole complementarity [6], the gauge/gravity correspondence [7–9], and the firewall puzzle [10, 11] have provided fu ...
Space from Hilbert space: Recovering geometry from bulk
... Hilbert space describing the quantum system that is a black hole, or spatial regions more generally? Consider a fixed lattice of qubits, with a spacing l0 and a linear size r. The total number of qubits is n ∼ ðr=l0 ÞD , where D is the dimensionality of space, and the associated dimension of Hilbert ...
... Hilbert space describing the quantum system that is a black hole, or spatial regions more generally? Consider a fixed lattice of qubits, with a spacing l0 and a linear size r. The total number of qubits is n ∼ ðr=l0 ÞD , where D is the dimensionality of space, and the associated dimension of Hilbert ...
The Automorphic Universe
... conditional measure µA on A defined by µA (B) = µ(A ∩ B)/µ(A). A measurable set B is T −invariant if T −1 B = B; if in addition T preserves a measure µ, then a measurable set B is said to be T − invariant (mod 0) e such if T −1 B = B (mod 0). In this case, there exist a T − invariant set B e = B (mo ...
... conditional measure µA on A defined by µA (B) = µ(A ∩ B)/µ(A). A measurable set B is T −invariant if T −1 B = B; if in addition T preserves a measure µ, then a measurable set B is said to be T − invariant (mod 0) e such if T −1 B = B (mod 0). In this case, there exist a T − invariant set B e = B (mo ...
Convergence of a Semiclassical Wavepacket Based Time–Splitting
... parameters Π and S, while the expensive part of the computation is finding the coefficients c. On the other hand, ε is not present in the classical equations (3) for the parameters, but it appears only in the equation for the coefficients (4). Our algorithm combines the Strang–splitting for H = (T + ...
... parameters Π and S, while the expensive part of the computation is finding the coefficients c. On the other hand, ε is not present in the classical equations (3) for the parameters, but it appears only in the equation for the coefficients (4). Our algorithm combines the Strang–splitting for H = (T + ...
NON-RELATIVISTIC QUANTUM MECHANICS - Philsci
... consideration. Alas, we will not have time for them. A careful reading of the material here is a start, however, towards understanding these other issues. Of these five issues, the first two are somewhat less discussed, especially in the Anglo-American philosophical literature. Those sections are th ...
... consideration. Alas, we will not have time for them. A careful reading of the material here is a start, however, towards understanding these other issues. Of these five issues, the first two are somewhat less discussed, especially in the Anglo-American philosophical literature. Those sections are th ...
Semi-classical formula beyond the Ehrenfest time in
... the matrix elements of the propagator operator M̂t between localized wave packets, for t tE , could be expressed as a (exponentially large) sum over these distinct trajectories. In particular the trace of the propagator could be expressed as a sum over Nt ∝ eλt periodic orbits. This is the content ...
... the matrix elements of the propagator operator M̂t between localized wave packets, for t tE , could be expressed as a (exponentially large) sum over these distinct trajectories. In particular the trace of the propagator could be expressed as a sum over Nt ∝ eλt periodic orbits. This is the content ...
Pascual Jordan`s resolution of the conundrum of the wave
... Dreimännerarbeit. 14 It also tends to ignore the difference that we drew attention to above between Einstein’s original conception of wave-particle duality and wave-particle duality as it is usually understood in quantum mechanics. 15 Having chastised historians of physics in such broad-brush fash ...
... Dreimännerarbeit. 14 It also tends to ignore the difference that we drew attention to above between Einstein’s original conception of wave-particle duality and wave-particle duality as it is usually understood in quantum mechanics. 15 Having chastised historians of physics in such broad-brush fash ...
Physics Formulary - Home Page of ir. JCA Wevers
... often needs to look up equations. This, and a Dutch version of this file, ([email protected]). ...
... often needs to look up equations. This, and a Dutch version of this file, ([email protected]). ...
The Homological Nature of Entropy
... Thus odd information quantities are information co-cycles, because they are in the image of δ, and even information quantities are twisted (or topological) co-cycles, because they are in the image of δt . In [7] we show that this description is equivalent to the theorem of Hu Kuo Ting (1962) [6], gi ...
... Thus odd information quantities are information co-cycles, because they are in the image of δ, and even information quantities are twisted (or topological) co-cycles, because they are in the image of δt . In [7] we show that this description is equivalent to the theorem of Hu Kuo Ting (1962) [6], gi ...
... Chapter 1. Theoretical Background. In this part there are not original results. Summaries of Picard-Vessiot theory and supersymmetric quantum mechanics is presented here necessary to understand the chapter 2. Chapter 2. Differential Galois Theory Approach to Supersymmetric Quantum Mechanics. This pa ...
Spin Foam Models for Quantum Gravity
... history of quantum gravity see [1]). The main lesson of general relativity is that, unlike in any other interaction, space-time geometry is fully dynamical. This special feature of gravity precludes the possibility of representing fields on a fixed background geometry and severely constrains the app ...
... history of quantum gravity see [1]). The main lesson of general relativity is that, unlike in any other interaction, space-time geometry is fully dynamical. This special feature of gravity precludes the possibility of representing fields on a fixed background geometry and severely constrains the app ...
PS - USTC, ICTS
... electron and proton and found that indeed the time translation operator and the Hamiltonian are different, exactly as we obtained phenomenologically before. W.M. Sun, X.S. Chen, X.F. Lu and F. Wang, arXiv:1002.3421[hep-ph] ...
... electron and proton and found that indeed the time translation operator and the Hamiltonian are different, exactly as we obtained phenomenologically before. W.M. Sun, X.S. Chen, X.F. Lu and F. Wang, arXiv:1002.3421[hep-ph] ...
Extending J Walking to Quantum Systems
... infinitely long walks. A prototypical example is the double well potential where the wells are separated by a large barrier. For sufficiently low temperatures, the random walker is unable to cross over the barrier within the duration of the walk and hence never samples from the other well. J walking ...
... infinitely long walks. A prototypical example is the double well potential where the wells are separated by a large barrier. For sufficiently low temperatures, the random walker is unable to cross over the barrier within the duration of the walk and hence never samples from the other well. J walking ...