distribution functions in physics: fundamentals
... quantum mechanics for more than one particle would be difficult to formulate relativistically. However, it has found many applications primarily in statistical mechanics but also in areas such as quantum chemistry and quantum optics. In the case where P0 in eq. (1.3) is chosen to be P~,, then the co ...
... quantum mechanics for more than one particle would be difficult to formulate relativistically. However, it has found many applications primarily in statistical mechanics but also in areas such as quantum chemistry and quantum optics. In the case where P0 in eq. (1.3) is chosen to be P~,, then the co ...
A “Garden of Forking Paths” – the Quantum
... Remarks. (i) In this paper, “physical quantities of a system S” are always represented by self-adjoint (bounded) linear operators. 1 If during a certain interval, I, of time it is possible to unambiguously assign an objective value to a physical quantity of S represented by an operator X̂ ∈ OS we s ...
... Remarks. (i) In this paper, “physical quantities of a system S” are always represented by self-adjoint (bounded) linear operators. 1 If during a certain interval, I, of time it is possible to unambiguously assign an objective value to a physical quantity of S represented by an operator X̂ ∈ OS we s ...
BODY PERTURBATIVE AND GREEN`S
... to what is now known as Dyson orbitals [7, 8]. It has been known for quite some time that the Brueckner orbitals leads to the correct binding energy [2, 9, 10], which is also the case for the Dyson orbitals [11]. Nevertheless, there has been some confusion lately in the quantum-chemistry community a ...
... to what is now known as Dyson orbitals [7, 8]. It has been known for quite some time that the Brueckner orbitals leads to the correct binding energy [2, 9, 10], which is also the case for the Dyson orbitals [11]. Nevertheless, there has been some confusion lately in the quantum-chemistry community a ...
Quantization of bi-Hamiltonian systems J.
... sum of noninteracting classical Hamiltonians, each of which has just two degrees of freedom and· is easily quantized by itself. This method of quantization bypasses all the inherent difficulties of fully quantizing the system, including the factor-ordering problem, defining the quantum field operato ...
... sum of noninteracting classical Hamiltonians, each of which has just two degrees of freedom and· is easily quantized by itself. This method of quantization bypasses all the inherent difficulties of fully quantizing the system, including the factor-ordering problem, defining the quantum field operato ...
Zacatecas, México, 2014
... • We have formulated the H = x(p+ 1/p) in terms of a Dirac fermion in Rindler spacetime. This gives a new interpretation of the BerryKeating parameters l x , l p • To incorporate the prime numbers we have formulated a new model based on a massless Dirac fermion with delta function potentials. ...
... • We have formulated the H = x(p+ 1/p) in terms of a Dirac fermion in Rindler spacetime. This gives a new interpretation of the BerryKeating parameters l x , l p • To incorporate the prime numbers we have formulated a new model based on a massless Dirac fermion with delta function potentials. ...
Quantum Entanglement: An Exploration of a Weird Phenomenon 1
... represented a threat to determinism, which had been the ultimate criterion for science. However, over the years, quantum mechanics has shown that it is the best candidate to describe the subatomic world even though its phenomena contradict humans’ most intuitive understanding of their physical world ...
... represented a threat to determinism, which had been the ultimate criterion for science. However, over the years, quantum mechanics has shown that it is the best candidate to describe the subatomic world even though its phenomena contradict humans’ most intuitive understanding of their physical world ...
Coherent State Path Integrals
... where z is an arbitrary complex number and z̄ is the complex conjugate. The coherent state |z⟩ has the defining property of being a wave packet with optimal spread, i.e., the Heisenberg uncertainty inequality is an equality for these coherent states. How does â act on the coherent state |z⟩? ...
... where z is an arbitrary complex number and z̄ is the complex conjugate. The coherent state |z⟩ has the defining property of being a wave packet with optimal spread, i.e., the Heisenberg uncertainty inequality is an equality for these coherent states. How does â act on the coherent state |z⟩? ...
Lecture notes - UCSD Department of Physics
... directed at graduate students in theoretical physics; this includes high-energy theory and condensed matter theory and maybe some other areas, too. The subject of the course is regulated quantum field theory (QFT): we will study quantum field theories which can be constructed by starting from system ...
... directed at graduate students in theoretical physics; this includes high-energy theory and condensed matter theory and maybe some other areas, too. The subject of the course is regulated quantum field theory (QFT): we will study quantum field theories which can be constructed by starting from system ...
Multivariable Hypergeometric Functions Eric M. Opdam
... This equation is of Fuchsian type on the projective line P1 (C), and it has its singular points at z = 0, 1 and ∞. Locally in a neighborhood of any regular point z0 ∈ C\{0, 1} the space of holomorphic solutions to (3) will be two dimensional. This shows that we can continue any locally defined holomo ...
... This equation is of Fuchsian type on the projective line P1 (C), and it has its singular points at z = 0, 1 and ∞. Locally in a neighborhood of any regular point z0 ∈ C\{0, 1} the space of holomorphic solutions to (3) will be two dimensional. This shows that we can continue any locally defined holomo ...
Creation and Destruction Operators and Coherent States
... Coherent States Coherent states are an important class of states that can be realized by any system which can be represented in terms of a harmonic oscillator, or sums of harmonic oscillators. They are the answer to the question, what is the state of a quantum oscillator when it is behaving as clas ...
... Coherent States Coherent states are an important class of states that can be realized by any system which can be represented in terms of a harmonic oscillator, or sums of harmonic oscillators. They are the answer to the question, what is the state of a quantum oscillator when it is behaving as clas ...
here
... in fact they are not even normalizable with respect to the above L2 inner product. A more convenient basis for for L2 (R) consists of the energy eigenstates of the harmonic oscillator |ni, which we will study in more detail later. • It is often convenient to work with an orthonormal basis, i.e., a b ...
... in fact they are not even normalizable with respect to the above L2 inner product. A more convenient basis for for L2 (R) consists of the energy eigenstates of the harmonic oscillator |ni, which we will study in more detail later. • It is often convenient to work with an orthonormal basis, i.e., a b ...
Parametrized discrete phase-space functions
... who suggested a complete class of Gaussian quasidistributions, parametrized by a three-dimensional complex vector, and offered a very clear mathematical formalism for them. These functions can be connected not only to the density operators but to any other operator of the Hilbert space. In this case ...
... who suggested a complete class of Gaussian quasidistributions, parametrized by a three-dimensional complex vector, and offered a very clear mathematical formalism for them. These functions can be connected not only to the density operators but to any other operator of the Hilbert space. In this case ...
The path integral representation kernel of evolution operator in
... suitable dynamics equation of the option price. Just like the Schrodinger equation, the MertonGarman equation is of evolution type. Hence, the path integral method is well fit for presenting the corresponding solution in a closed form and reduces the problem to quadratures. In articles [6, 7] the pa ...
... suitable dynamics equation of the option price. Just like the Schrodinger equation, the MertonGarman equation is of evolution type. Hence, the path integral method is well fit for presenting the corresponding solution in a closed form and reduces the problem to quadratures. In articles [6, 7] the pa ...
- City Research Online
... deformation parameter β used in [2] by τ employed in [1]. It is well known that when given only a non-Hermitian Hamiltonian, the metric operator can not be uniquely determined. However, as argued in [1] with the specification of the observable X, which coincides in [2] and [1], the outcome is unique ...
... deformation parameter β used in [2] by τ employed in [1]. It is well known that when given only a non-Hermitian Hamiltonian, the metric operator can not be uniquely determined. However, as argued in [1] with the specification of the observable X, which coincides in [2] and [1], the outcome is unique ...
Bulk Locality and Quantum Error Correction in AdS/CFT arXiv
... where we have two overlapping wedges WC [A] and WC [B] that both contain the point x but x is not contained in WC [A ∩ B]. For a CFT operator defined with support only on A to really be equal to a CFT operator defined with support only on B, it must be that the operator really only has support on A ...
... where we have two overlapping wedges WC [A] and WC [B] that both contain the point x but x is not contained in WC [A ∩ B]. For a CFT operator defined with support only on A to really be equal to a CFT operator defined with support only on B, it must be that the operator really only has support on A ...
1. Introduction - Université de Rennes 1
... given density of particles n(x) ≥ 0, can we find a minimizer of the quantum free energy among the density operators % having n(x) as local density, i.e. satisfying the constraint ρ(x, x) = n(x), where ρ(x, y) denotes the integral kernel of %? This question arises in the moment closure strategy initi ...
... given density of particles n(x) ≥ 0, can we find a minimizer of the quantum free energy among the density operators % having n(x) as local density, i.e. satisfying the constraint ρ(x, x) = n(x), where ρ(x, y) denotes the integral kernel of %? This question arises in the moment closure strategy initi ...
Is spacetime a quantum error-correcting code?
... relating bulk and boundary observables. Illustrate how quantum error correction resolves the causal wedge puzzle, and how the operators deep in the entanglement wedge can be reconstructed. Realize exactly the Ryu-Takayanagi relation between boundary entanglement and bulk geometry (with small correct ...
... relating bulk and boundary observables. Illustrate how quantum error correction resolves the causal wedge puzzle, and how the operators deep in the entanglement wedge can be reconstructed. Realize exactly the Ryu-Takayanagi relation between boundary entanglement and bulk geometry (with small correct ...
Quantum Mechanical Addition of Angular Momenta and Spin
... The property (6.14) implies that the total angular momentum is conserved during the scattering process, i.e., that energy, and the eigenvalues of ~J2 and J3 are good quantum numbers. To describe the scattering process of AB + C most concisely one seeks eigenstates YJM of ~J2 and J3 which can be expr ...
... The property (6.14) implies that the total angular momentum is conserved during the scattering process, i.e., that energy, and the eigenvalues of ~J2 and J3 are good quantum numbers. To describe the scattering process of AB + C most concisely one seeks eigenstates YJM of ~J2 and J3 which can be expr ...