Chapter 1 Introduction
... thing is that starting from the early years of the 20th century, a body of experimental findings accumulated was at odds with what classical mechanics predicted. This was unexpected in a sense, as the sentiment of the times was that classical physics could explain everything, that nature had already ...
... thing is that starting from the early years of the 20th century, a body of experimental findings accumulated was at odds with what classical mechanics predicted. This was unexpected in a sense, as the sentiment of the times was that classical physics could explain everything, that nature had already ...
Getting Started
... and that we are interested in the stationary state wave functions obtained using separation of variables: (Equation 2) ( x, t ) ( x)e iEt / Also recall that we find the eigenfunctions, ψ(x), from the time-independent Schrödinger equation which is the result of combining equations 1 and 2: ...
... and that we are interested in the stationary state wave functions obtained using separation of variables: (Equation 2) ( x, t ) ( x)e iEt / Also recall that we find the eigenfunctions, ψ(x), from the time-independent Schrödinger equation which is the result of combining equations 1 and 2: ...
Sects. 2.6 & 2.7
... Potential: U(x) = -Wd2(x2+d2)/(x4+8d4) Sketch this potential & discuss motion at various x. Is it bounded or unbounded? Where are the equilibrium positions? Are these stable or unstable? Find the turning points for E = -W/8. ...
... Potential: U(x) = -Wd2(x2+d2)/(x4+8d4) Sketch this potential & discuss motion at various x. Is it bounded or unbounded? Where are the equilibrium positions? Are these stable or unstable? Find the turning points for E = -W/8. ...
introduction to the many-body problem
... given above can be used for constructing irreducible representations of this group. There are two one-dimensional and one two-dimensional irreducible representations. Group theory is also useful for characterizing the eigenstates of any Hamiltonian which is invariant under permutations. It implies t ...
... given above can be used for constructing irreducible representations of this group. There are two one-dimensional and one two-dimensional irreducible representations. Group theory is also useful for characterizing the eigenstates of any Hamiltonian which is invariant under permutations. It implies t ...
Integrable Lattice Models From Gauge Theory
... The Yang-Baxter equation is a good example of a relationship that is much more transparent in terms of a picture (fig. 8) than by writing out an algebraic formula in detail. Actually, there is a subtle but important difference between the R-matrix that solves the YangBaxter equation and the S-matrix ...
... The Yang-Baxter equation is a good example of a relationship that is much more transparent in terms of a picture (fig. 8) than by writing out an algebraic formula in detail. Actually, there is a subtle but important difference between the R-matrix that solves the YangBaxter equation and the S-matrix ...
The Quantum Mechanics of Angular Momentum
... gradient operator of chapter 4, will result in a force in the direction of the gradient. This would not be so in a homogeneous field. The Bohr-Sommerfield theory of the atom at the time proposed quantized orbital angular momenta and the experiment was designed to test this hypothesis (not spin angul ...
... gradient operator of chapter 4, will result in a force in the direction of the gradient. This would not be so in a homogeneous field. The Bohr-Sommerfield theory of the atom at the time proposed quantized orbital angular momenta and the experiment was designed to test this hypothesis (not spin angul ...
