Quantum Mechanics From General Relativity
... studies of Davisson and Germer [2] in the US and simultaneously by G. P. Thomson [3] in the UK. The significance of the discovery of the wave nature of the electron, to me, was that it was an indication of a paradigm change in our view of matter - away from the atomistic model in terms of singular p ...
... studies of Davisson and Germer [2] in the US and simultaneously by G. P. Thomson [3] in the UK. The significance of the discovery of the wave nature of the electron, to me, was that it was an indication of a paradigm change in our view of matter - away from the atomistic model in terms of singular p ...
PT -Symmetric Models in Classical and Quantum Mechanics
... A similar issue in developing an positive-definite inner product on Dirac spinors was remedied by introduction of the charge conjugation operator γ5 [46]. In order to preserve the attractive features of (1.4), modifications must be implemented by a symmetry of a Hamiltonian that is self-adjoint with ...
... A similar issue in developing an positive-definite inner product on Dirac spinors was remedied by introduction of the charge conjugation operator γ5 [46]. In order to preserve the attractive features of (1.4), modifications must be implemented by a symmetry of a Hamiltonian that is self-adjoint with ...
The 1/N expansion method in quantum field theory
... Physical interest of the RGE In perturbation theory, when calculating radiative corrections, one usually finds powers of the quantity λ2 ln(p2/M 2), where p is a representative of the momenta of the external particles. Even if λ is chosen small, at high energies, i.e., at large values of p, the log ...
... Physical interest of the RGE In perturbation theory, when calculating radiative corrections, one usually finds powers of the quantity λ2 ln(p2/M 2), where p is a representative of the momenta of the external particles. Even if λ is chosen small, at high energies, i.e., at large values of p, the log ...
A proof of Bell`s inequality in quantum mechanics using causal
... and therefore ruled out local hidden variables. However, there remains several small possible loopholes. Perhaps the most important one of which is the following: in these experiments for every entangled pair that we measure we often fail to detect one of the two particles because the current experi ...
... and therefore ruled out local hidden variables. However, there remains several small possible loopholes. Perhaps the most important one of which is the following: in these experiments for every entangled pair that we measure we often fail to detect one of the two particles because the current experi ...
Quantum Mechanics, Locality and Realism
... without specifying the measuring process (It is senseless to assign simultaneously complimentary attributes – like x,p – since they cannot be measured at the same time) The wave function is a representation of the quantum system An experimental prediction that surpasses the limitations of the theory ...
... without specifying the measuring process (It is senseless to assign simultaneously complimentary attributes – like x,p – since they cannot be measured at the same time) The wave function is a representation of the quantum system An experimental prediction that surpasses the limitations of the theory ...
View paper - UT Mathematics
... quantum radiation field may give rise to fluctuations of the position of the electron and these fluctuations may change the Coulomb potential so that the energy level shift such as the Lamb shift may occur. With this physical intuition, he derived the Lamb shift heuristically and perturbatively. After ...
... quantum radiation field may give rise to fluctuations of the position of the electron and these fluctuations may change the Coulomb potential so that the energy level shift such as the Lamb shift may occur. With this physical intuition, he derived the Lamb shift heuristically and perturbatively. After ...
Calculation of C Operator in PT -Symmetric Quantum
... The operator C does not exist as a distinct entity in conventional Hermitian quantum mechanics. Indeed, we will see that as the parameter in (2) and (3) tends to zero the operator C becomes identical to P. We can now define an inner product f |g whose associated norm is positive: ...
... The operator C does not exist as a distinct entity in conventional Hermitian quantum mechanics. Indeed, we will see that as the parameter in (2) and (3) tends to zero the operator C becomes identical to P. We can now define an inner product f |g whose associated norm is positive: ...
4 The Schrodinger`s Equation
... written down as a Postulate, but in this lecture, we would like to take the more modern view where it is simply one of many Hamiltonians which turns out to be verified by experiments. Some properties of the Schrodinger’s Equation: • Non-relativistic Free Particle Solution: The Schrodinger’s Equation ...
... written down as a Postulate, but in this lecture, we would like to take the more modern view where it is simply one of many Hamiltonians which turns out to be verified by experiments. Some properties of the Schrodinger’s Equation: • Non-relativistic Free Particle Solution: The Schrodinger’s Equation ...
The Power of Perturbation Theory
... In special cases, like the anharmonic oscillator in QM and 42,3 QFT it has been proved that perturbation theory is Borel resummable and leads to the exact results (no non-perturbative contributions) [Loeffel et al, 1969; Simon and Dicke, 1970; Eckmann, Magnen and Seneor, 1975; Magnen and Seneor, 197 ...
... In special cases, like the anharmonic oscillator in QM and 42,3 QFT it has been proved that perturbation theory is Borel resummable and leads to the exact results (no non-perturbative contributions) [Loeffel et al, 1969; Simon and Dicke, 1970; Eckmann, Magnen and Seneor, 1975; Magnen and Seneor, 197 ...
Comparison of 3D classical and quantum mechanical He scattering
... of the wave number vector k parallel to the surface is shorter than 3.74 a.u. on the contrary when the He atom is near the top layer of the Rh(3 1 1) surface. The attractive part of the interaction potential leads to longer lifetime near the ...
... of the wave number vector k parallel to the surface is shorter than 3.74 a.u. on the contrary when the He atom is near the top layer of the Rh(3 1 1) surface. The attractive part of the interaction potential leads to longer lifetime near the ...
