
Path integrals in quantum mechanics
... where PBC stands for “periodic boundary conditions”, indicating the sum over all paths that close on themselves in an euclidean time β. Introduced here for the free theory, the Wick rotation is supposed to be of more general value, relating quantum mechanics to statistical mechanics in the interact ...
... where PBC stands for “periodic boundary conditions”, indicating the sum over all paths that close on themselves in an euclidean time β. Introduced here for the free theory, the Wick rotation is supposed to be of more general value, relating quantum mechanics to statistical mechanics in the interact ...
Type-II Symmetry-Protected Topological Dirac Semimetals
... The discoveries of Dirac and Weyl semimetal states in spin-orbit compounds led to the realizations of elementary particle analogs in table-top experiments. Recently, a new type of emergent Weyl fermion attracted interest because it strongly violates Lorentz symmetry whose analog does not exist in th ...
... The discoveries of Dirac and Weyl semimetal states in spin-orbit compounds led to the realizations of elementary particle analogs in table-top experiments. Recently, a new type of emergent Weyl fermion attracted interest because it strongly violates Lorentz symmetry whose analog does not exist in th ...
Review. Geometry and physics
... In fact, this function has a straightforward physical interpretation. It can be seen as a probability amplitude for a string to propagate in the Calabi–Yau space X . In quantum theory one has to operate under the fundamental principle of summing over all possible histories with a weight given by the ...
... In fact, this function has a straightforward physical interpretation. It can be seen as a probability amplitude for a string to propagate in the Calabi–Yau space X . In quantum theory one has to operate under the fundamental principle of summing over all possible histories with a weight given by the ...
The Graviton Equations
... Is gravity like other forces? Because it does not depend on a particular space time background, general relativity is said to be background independent. In contrast the Standard Model (particle physics) is not background independent. In other words general relativity and the Standard Model are incom ...
... Is gravity like other forces? Because it does not depend on a particular space time background, general relativity is said to be background independent. In contrast the Standard Model (particle physics) is not background independent. In other words general relativity and the Standard Model are incom ...
Quantum NP - A Survey Dorit Aharonov and Tomer Naveh
... the quantum analog, we immediately encounter an obstacle. We cannot require the verifier to answer 0 or 1 deterministically, because we will not be able to distinguish between this case and the case in which the verifier outputs these values with extremely high probability. Since the fact that state ...
... the quantum analog, we immediately encounter an obstacle. We cannot require the verifier to answer 0 or 1 deterministically, because we will not be able to distinguish between this case and the case in which the verifier outputs these values with extremely high probability. Since the fact that state ...
Physical Laws of Nature vs Fundamental First Principles
... fundamental principles, and take the simplest and aesthetic forms. • We intend to derive experimentally verifiable laws of Nature based only on a few fundamental first principles, guided by experimental and observation evidences. ...
... fundamental principles, and take the simplest and aesthetic forms. • We intend to derive experimentally verifiable laws of Nature based only on a few fundamental first principles, guided by experimental and observation evidences. ...
by Margaret L. Silbar
... No one can yet make detailed predictions with superstring theory. Nor does anyone yet grasp an underlying principle that explains why strings make sense as nature's basic building blocks. For example, superstring theory is not yet based on a geometrical principle. As Green says, 'This is not very sa ...
... No one can yet make detailed predictions with superstring theory. Nor does anyone yet grasp an underlying principle that explains why strings make sense as nature's basic building blocks. For example, superstring theory is not yet based on a geometrical principle. As Green says, 'This is not very sa ...
Quantum Phase Transition and Emergent Symmetry in a Quadruple Quantum... Dong E. Liu, Shailesh Chandrasekharan, and Harold U. Baranger
... conductance is small because the phase shift is nearly zero in the LSS state [10]. For U0 large (U0 > 0:15), the conductance is also small and approaches zero as U0 ! 1, consistent with the argument in Ref. [8]. At intermediate values of U0 , there is a strikingly sharp conductance peak near the val ...
... conductance is small because the phase shift is nearly zero in the LSS state [10]. For U0 large (U0 > 0:15), the conductance is also small and approaches zero as U0 ! 1, consistent with the argument in Ref. [8]. At intermediate values of U0 , there is a strikingly sharp conductance peak near the val ...
ESSAY 24 : Derivation of the Pauli Exclusion Principle from The
... experimental data from atomic and molecular spectra and is usually regarded as an axiom of quantum mechanics. In its simplest form it states that if there is more than one electron in an atom or molecule, no two electrons can have the same n, l, m, j and s quantum numbers. Another way of stating it ...
... experimental data from atomic and molecular spectra and is usually regarded as an axiom of quantum mechanics. In its simplest form it states that if there is more than one electron in an atom or molecule, no two electrons can have the same n, l, m, j and s quantum numbers. Another way of stating it ...
Causal Sets: Discrete Gravity (Notes for the Valdivia Summer School)
... With the subsequent development of physics, more compelling reasons emerged for questioning the continuum, including the singularities and infinities of General Relativity, of Quantum Field Theory (including the standard model), and of black hole thermodynamics. Einstein, for example, voiced doubts ...
... With the subsequent development of physics, more compelling reasons emerged for questioning the continuum, including the singularities and infinities of General Relativity, of Quantum Field Theory (including the standard model), and of black hole thermodynamics. Einstein, for example, voiced doubts ...
1 - at www.arxiv.org.
... To some “loop quantum gravity is an attempt to define a quantization of gravity paying special attention to the conceptual lessons of general relativity” ([22], p. 7), to others it does not have to be about the quantization of gravity but should be “at least conceivable that such a theory marries a ...
... To some “loop quantum gravity is an attempt to define a quantization of gravity paying special attention to the conceptual lessons of general relativity” ([22], p. 7), to others it does not have to be about the quantization of gravity but should be “at least conceivable that such a theory marries a ...
Periodic orbit analysis of molecular vibrational spectra: Spectral
... two main results. First of all, at the most qualitative level, the quantum ~E,t! plots immediately enable one to distinguish between the spectra computed using two different Hamiltonians, one ‘‘diagonal’’ and the other ‘‘resonant,’’ which were used to fit a target spectrum, itself obtained using a s ...
... two main results. First of all, at the most qualitative level, the quantum ~E,t! plots immediately enable one to distinguish between the spectra computed using two different Hamiltonians, one ‘‘diagonal’’ and the other ‘‘resonant,’’ which were used to fit a target spectrum, itself obtained using a s ...
The Quantum Theory of General Relativity at Low Energies
... still gauge-fixing the quantum fluctuations. The dimensionful nature of the gravitational coupling implies that loop diagrams (both the finite and infinite parts) will generate effects at higher orders in the energy expansion[10]. The one and two loop counterterms for graviton loops are known[5,11] ...
... still gauge-fixing the quantum fluctuations. The dimensionful nature of the gravitational coupling implies that loop diagrams (both the finite and infinite parts) will generate effects at higher orders in the energy expansion[10]. The one and two loop counterterms for graviton loops are known[5,11] ...