Problems
... Schrödinger equations. I suggest you now try this and make sure you see: a. How the second order differential equations have two independent solutions, so the most general solution is a sum of these two. b. How the two boundary conditions reduce the number of acceptable solutions from two to one and ...
... Schrödinger equations. I suggest you now try this and make sure you see: a. How the second order differential equations have two independent solutions, so the most general solution is a sum of these two. b. How the two boundary conditions reduce the number of acceptable solutions from two to one and ...
About ambiguities appearing on the study of classical and quantum
... nonequivalent Lagrangians for a given one-dimensional autonomous (forces are time independent) dynamical system [1–3]. This approach is based on the constant of motion associated to the system and can be used to obtain nonequivalent Hamiltonians which are not related each other through a “canonical ...
... nonequivalent Lagrangians for a given one-dimensional autonomous (forces are time independent) dynamical system [1–3]. This approach is based on the constant of motion associated to the system and can be used to obtain nonequivalent Hamiltonians which are not related each other through a “canonical ...
Redalyc.Atomic radiative corrections without QED: role of the zero
... order τ ∼ e2 (or higher) represent merely radiative corrections to the (radiationless) motion governed by Eq. (9). Such corrections can therefore be found by using the solutions of Eq. (9) (containing the parameter η) in the calculations for the above average values. We will proceed in this way in o ...
... order τ ∼ e2 (or higher) represent merely radiative corrections to the (radiationless) motion governed by Eq. (9). Such corrections can therefore be found by using the solutions of Eq. (9) (containing the parameter η) in the calculations for the above average values. We will proceed in this way in o ...
Luttinger-Liquid Behavior in Tunneling through a Quantum Dot at Zero... Paula Rojt, Yigal Meir, and Assa Auerbach
... PACS numbers: 71.10.Pm, 73.21.La, 73.23.Hk, 73.63.Kv ...
... PACS numbers: 71.10.Pm, 73.21.La, 73.23.Hk, 73.63.Kv ...
Hyperfine Splitting in Non-Relativistic Bound States Marc E. Baker
... In chapter 3, we set up a natural framework for doing bound-state calculations within relativistic quantum theory. Firstly, we show that not only do we recover the leading order HFS result of chapter 2, but systematically incorporate all other non-radiation based effects. We also show how the inclus ...
... In chapter 3, we set up a natural framework for doing bound-state calculations within relativistic quantum theory. Firstly, we show that not only do we recover the leading order HFS result of chapter 2, but systematically incorporate all other non-radiation based effects. We also show how the inclus ...
The Shooting Method (application to energy levels of the simple
... Here we give a generalization of this approach to problems where the potential does not have to tend to zero at large |x|. This more general approach is often called the shooting method . This handout is very similar to the earlier one except for the way it handles the boundary conditions at large | ...
... Here we give a generalization of this approach to problems where the potential does not have to tend to zero at large |x|. This more general approach is often called the shooting method . This handout is very similar to the earlier one except for the way it handles the boundary conditions at large | ...
SINGULAR PERTURBATIONS FOR DIFFERENCE
... of (Pe), we first consider the special case of (1.1) where ak and bk are non-zero constants. In this case the problem (Pe) may be solved explicitly, and hence one can easily obtain the asymptotic development of the solution. Based on this simple illustrative example, we then establish a general proc ...
... of (Pe), we first consider the special case of (1.1) where ak and bk are non-zero constants. In this case the problem (Pe) may be solved explicitly, and hence one can easily obtain the asymptotic development of the solution. Based on this simple illustrative example, we then establish a general proc ...
