Path Integral Formulation of Quantum Tunneling: Numerical Approximation and Application to
... If the finite characteristic lifetime of a state is greater than the timescales of other processes in a system we say that such a state is metastable. Metastable states and the processes by which they relax are responsible for phenomena as diverse as the lifetime of excited states in atoms to the be ...
... If the finite characteristic lifetime of a state is greater than the timescales of other processes in a system we say that such a state is metastable. Metastable states and the processes by which they relax are responsible for phenomena as diverse as the lifetime of excited states in atoms to the be ...
Chapter 7 Quantum Theory of the Atom
... b. Define each of the quantum numbers for an atomic orbital. c. State the rules for the allowed values for each quantum number. d. Apply the rules for quantum numbers. e. Describe the shapes of s, p, and d orbitals. ...
... b. Define each of the quantum numbers for an atomic orbital. c. State the rules for the allowed values for each quantum number. d. Apply the rules for quantum numbers. e. Describe the shapes of s, p, and d orbitals. ...
The Structure of a Quantum World Jill North
... function’s space is fundamental to a quantum world (sections 2 and 3). I end by suggesting that there is a way of reconciling the fundamentality of this high-dimensional space with the three-dimensionality of our experience (section 4). Note that for the purpose of this discussion, I assume realism ...
... function’s space is fundamental to a quantum world (sections 2 and 3). I end by suggesting that there is a way of reconciling the fundamentality of this high-dimensional space with the three-dimensionality of our experience (section 4). Note that for the purpose of this discussion, I assume realism ...
Here - Blogs at UMass Amherst
... the effects of massless gluons represented by the first term in the r.h.s. of (8). Next, in nuclei, binding energy gives an essential contribution to the total mass. One can also mention that the photons, being massless particles, would not interact with gravity if it had been sourced only by masses ...
... the effects of massless gluons represented by the first term in the r.h.s. of (8). Next, in nuclei, binding energy gives an essential contribution to the total mass. One can also mention that the photons, being massless particles, would not interact with gravity if it had been sourced only by masses ...
Poincaré group
... is integer (the shaded multiplets in Fig. B.2). These are the actual irreducible representations of the Lorentz group that can be constructed via Eq. (B.29): • Trivial representation D00 = 1: here the generator is M µν = 0 and the representation matrix is 1. This is how Lorentz scalars transform. • ...
... is integer (the shaded multiplets in Fig. B.2). These are the actual irreducible representations of the Lorentz group that can be constructed via Eq. (B.29): • Trivial representation D00 = 1: here the generator is M µν = 0 and the representation matrix is 1. This is how Lorentz scalars transform. • ...
Algebraic Topology Foundations of Supersymmetry and Symmetry
... basic techniques of Fourier analysis and convolution products. A natural generalization of such molecular, partial symmetries and their corresponding analytical versions involves convolution algebras – a functional/distribution [197, 198] based theory that we will discuss in the context of a more ge ...
... basic techniques of Fourier analysis and convolution products. A natural generalization of such molecular, partial symmetries and their corresponding analytical versions involves convolution algebras – a functional/distribution [197, 198] based theory that we will discuss in the context of a more ge ...
Thesis - Institut für Physik
... The density matrix formalism is a method to formulate equations of motion for quantum many-particle systems that allows for a numerically exact treatment as well as for approximations necessary in large systems. The method generalizes the cluster expansion technique by using expectation values inste ...
... The density matrix formalism is a method to formulate equations of motion for quantum many-particle systems that allows for a numerically exact treatment as well as for approximations necessary in large systems. The method generalizes the cluster expansion technique by using expectation values inste ...
Optical probing of spin fluctuations of a single paramagnetic Mn
... observed in some Mn-doped QDs because of a slight admixture of the bright states with the dark ones induced by a valence-band mixing. However, the dark excitons mainly contribute to the signal by undergoing a spin flip to become bright excitons, which decay radiatively. The PL decay is then determin ...
... observed in some Mn-doped QDs because of a slight admixture of the bright states with the dark ones induced by a valence-band mixing. However, the dark excitons mainly contribute to the signal by undergoing a spin flip to become bright excitons, which decay radiatively. The PL decay is then determin ...
Dual-path source engineering in integrated quantum optics
... where χ (2) is the effective nonlinear coefficient of the system. As we treat the pump field Ep as classical, only the generated fields are described by operators. We do not use subscripts for the quantum fields, as the photons are fundamentally indistinguishable and therefore described by the same ...
... where χ (2) is the effective nonlinear coefficient of the system. As we treat the pump field Ep as classical, only the generated fields are described by operators. We do not use subscripts for the quantum fields, as the photons are fundamentally indistinguishable and therefore described by the same ...
Cosmological constant and vacuum energy
... in the static hot Universe filled by ultra-relativistic matter or radiation (see Eq. (7.5) below). The pressure of the vacuum was found to be negative, pvac = −ρvac < 0, which means that the vacuum does really oppose and partially counterbalance the collapsing tendency of matter. This demonstrates t ...
... in the static hot Universe filled by ultra-relativistic matter or radiation (see Eq. (7.5) below). The pressure of the vacuum was found to be negative, pvac = −ρvac < 0, which means that the vacuum does really oppose and partially counterbalance the collapsing tendency of matter. This demonstrates t ...
Many Oscillators
... The unitary counterpart: a strong coupling can struggle the effects of a weaker one, realizing the partitioning of the Hilbert space: ...
... The unitary counterpart: a strong coupling can struggle the effects of a weaker one, realizing the partitioning of the Hilbert space: ...
Marblestone, Devoret..
... AND statement with non-zero coefficient in the algebraic normal form representation (2) of f . For example, the function f (a, b, c, d) = b · d ⊕ a · c ⊕ a · b · d has O( f ) = 3. It will be of no surprise that Boolean functions with orders of nonlinearity ≤1 are called linear (O( f ) = 0 implies th ...
... AND statement with non-zero coefficient in the algebraic normal form representation (2) of f . For example, the function f (a, b, c, d) = b · d ⊕ a · c ⊕ a · b · d has O( f ) = 3. It will be of no surprise that Boolean functions with orders of nonlinearity ≤1 are called linear (O( f ) = 0 implies th ...
Griffiths singularities in the disordered phase of a quantum Ising... H. Rieger
... of the ~divergent! correlation length. Nonetheless, for the 1D random ferromagnet, they are both equal ~to infinity!. For the 2D spin glass we shall also find that these two values are numerically close, and may well be equal ~though finite!. B. The critical point ...
... of the ~divergent! correlation length. Nonetheless, for the 1D random ferromagnet, they are both equal ~to infinity!. For the 2D spin glass we shall also find that these two values are numerically close, and may well be equal ~though finite!. B. The critical point ...
Anisotropic pyrochlores and the global phase diagram of the checkerboard... Oleg A. Starykh, Akira Furusaki, and Leon Balents
... With this understanding, it is natural to expect that weakly coupled arrays of such chains might be pushed by the interchain coupling into magnetically ordered, dimer-ordered, or perhaps critical states, if this coupling favors the intrinsic antiferromagnetic or VBS ordering tendency, or fosters the ...
... With this understanding, it is natural to expect that weakly coupled arrays of such chains might be pushed by the interchain coupling into magnetically ordered, dimer-ordered, or perhaps critical states, if this coupling favors the intrinsic antiferromagnetic or VBS ordering tendency, or fosters the ...
Equilibration and Order in Quantum Floquet Matter
... that is just the infinite temperature state18–20 , with all local operator expectation values time independent at long times irrespective of the starting state.43 We can reach the same conclusion by noting that linear response theory implies absorption at nonzero frequencies and thus a heating casca ...
... that is just the infinite temperature state18–20 , with all local operator expectation values time independent at long times irrespective of the starting state.43 We can reach the same conclusion by noting that linear response theory implies absorption at nonzero frequencies and thus a heating casca ...