on Atomic and Molecular Physics
... where cti, a 3 are the winding numbers of the tori with quantized actions J2 = n + |i,2> ^1 = ' + M-l> d ^3 = k +113. For the full three-dimensional problem the bending degree locally described by J3 appears twice, once for bending motion within the body fixed plane spanned by the three particles, a ...
... where cti, a 3 are the winding numbers of the tori with quantized actions J2 = n + |i,2> ^1 = ' + M-l> d ^3 = k +113. For the full three-dimensional problem the bending degree locally described by J3 appears twice, once for bending motion within the body fixed plane spanned by the three particles, a ...
Quantum Phase Transitions
... end result is seen in the action, which looks like that of a d + 1 Euclidean space-time integral, except that the extra temporal dimension is finite in extent (from 0 to β). As T → 0, we get the same (infinite) limits for a d + 1 effective classical system. This equivalent mapping between a d-dimens ...
... end result is seen in the action, which looks like that of a d + 1 Euclidean space-time integral, except that the extra temporal dimension is finite in extent (from 0 to β). As T → 0, we get the same (infinite) limits for a d + 1 effective classical system. This equivalent mapping between a d-dimens ...
Quantum theory
... extent. You cannot describe the orbit of an electron in the ground state of an atom. The uncertainty principle has been exploited widely, especially by Niels Bohr. Pauli, in 1927, amplified the Schrödinger equation by including the electron spin, which had been discovered by G. Uhlenbeck and S. Gou ...
... extent. You cannot describe the orbit of an electron in the ground state of an atom. The uncertainty principle has been exploited widely, especially by Niels Bohr. Pauli, in 1927, amplified the Schrödinger equation by including the electron spin, which had been discovered by G. Uhlenbeck and S. Gou ...
Glueballs
... • Interaction of gluons is thought to be ‘flavor-blind’. No preference for u,d or s interactions. – f0(1500) decays with the same frequency to u,d and s states • From chiral suppression, it follows that glueballs with J=0, prefer to decay into s-quarks. – f0(1710) decay more frequent into kaons (s c ...
... • Interaction of gluons is thought to be ‘flavor-blind’. No preference for u,d or s interactions. – f0(1500) decays with the same frequency to u,d and s states • From chiral suppression, it follows that glueballs with J=0, prefer to decay into s-quarks. – f0(1710) decay more frequent into kaons (s c ...
Derivation of viscous correction terms for the isothermal quantum
... can be seen as a quantum extension of the phase-space Boltzmann distribution function, though f (t, x, p) is not a positive function. In [6], an isothermal quantum Euler system was derived by closing the system of moments as follows. The expression (3) of P is simply replaced by another one in terms ...
... can be seen as a quantum extension of the phase-space Boltzmann distribution function, though f (t, x, p) is not a positive function. In [6], an isothermal quantum Euler system was derived by closing the system of moments as follows. The expression (3) of P is simply replaced by another one in terms ...
Syllabus, Physics 315, Modern Physics, 3 credits Designation
... The concept of the wavefunction and its physical interpretation is introduced later in this chapter; there the Schrödinger equation appears, for a proper treatment of quantum dynamics. Some simple, one-dimensional cases are examined, with more complex examples following in Chapter 40, including the ...
... The concept of the wavefunction and its physical interpretation is introduced later in this chapter; there the Schrödinger equation appears, for a proper treatment of quantum dynamics. Some simple, one-dimensional cases are examined, with more complex examples following in Chapter 40, including the ...
Quantum Gravity: The View From Particle Physics
... correctly describe the physical degrees of freedom also at the very smallest distances. The first attempt of quantizing gravity relied on canonical quantization, with the spatial metric components and their conjugate momenta as the canonical variables, and the Wheeler-DeWitt equation governing the d ...
... correctly describe the physical degrees of freedom also at the very smallest distances. The first attempt of quantizing gravity relied on canonical quantization, with the spatial metric components and their conjugate momenta as the canonical variables, and the Wheeler-DeWitt equation governing the d ...
Quantum Factorization of 143 on a Dipolar
... n is the bit-width of variable x and iz is the z operator on the qubit which represents the ith bit of x, and operator y^ is formed likewise from y. Thus the ground state of Hp has the zero energy which denotes the case that N ¼ xy. After the adiabatic evolution and measurement, we could get the r ...
... n is the bit-width of variable x and iz is the z operator on the qubit which represents the ith bit of x, and operator y^ is formed likewise from y. Thus the ground state of Hp has the zero energy which denotes the case that N ¼ xy. After the adiabatic evolution and measurement, we could get the r ...
A phase-space study of the quantum Loschmidt Echo in the
... reference quantum states the usual coherent states. The latter are known to be well adapted to a semiclassical analysis, in particular with respect to semiclassical estimates of their time evolution. For times not larger than the so-called “Ehrenfest time” C| log ~|, we are able to estimate semiclas ...
... reference quantum states the usual coherent states. The latter are known to be well adapted to a semiclassical analysis, in particular with respect to semiclassical estimates of their time evolution. For times not larger than the so-called “Ehrenfest time” C| log ~|, we are able to estimate semiclas ...
Structure of Physics
... Weak Nuclear Force were combined into one theory. This was first done by S. Weinberg & A. Salaam. For this work, they received the ...
... Weak Nuclear Force were combined into one theory. This was first done by S. Weinberg & A. Salaam. For this work, they received the ...
Berry phase correction to electron density of states in solids
... In the absence of the Berry curvature, we reduce the problem to a known case with the familiar nontrivial commutator [k̂x , k̂y ] = −i(e/h̄)B. In the absence of the B field, we have the nontrivial commutator [x̂, ŷ] = iΩ discussed extensively in the literature on non-commutative geometry. It is int ...
... In the absence of the Berry curvature, we reduce the problem to a known case with the familiar nontrivial commutator [k̂x , k̂y ] = −i(e/h̄)B. In the absence of the B field, we have the nontrivial commutator [x̂, ŷ] = iΩ discussed extensively in the literature on non-commutative geometry. It is int ...
Loop quantum gravity - Institute for Gravitation and the Cosmos
... gravitational field that he had just intro- Elementary grains of space are represented by the foam-like structure at very small scales duced and the background space that nodes on a “spin network” (green dots). The lines and, along with Bryce DeWitt now at Newton had introduced 300 years ear- joinin ...
... gravitational field that he had just intro- Elementary grains of space are represented by the foam-like structure at very small scales duced and the background space that nodes on a “spin network” (green dots). The lines and, along with Bryce DeWitt now at Newton had introduced 300 years ear- joinin ...