1-d examples
... In the above example, the particle was able to penetrate into the classically disallowed region, though not very effectively, since the wavefunction decayed away exponentially the further you went into that region. But what if the classicaly forbidden region has only finite thickness? ...
... In the above example, the particle was able to penetrate into the classically disallowed region, though not very effectively, since the wavefunction decayed away exponentially the further you went into that region. But what if the classicaly forbidden region has only finite thickness? ...
Chapter 1 Review of Quantum Mechanics
... where k represents one set of so-called quantum numbers, usually discrete. Examples of quantum numbers are linear momentum, angular momentum, etc. Different set of quantum numbers, say, k1 , k2 , · · ·, represent different wavefunction Φk1 (r) , Φk2 (r) , · · · which correspond to different states o ...
... where k represents one set of so-called quantum numbers, usually discrete. Examples of quantum numbers are linear momentum, angular momentum, etc. Different set of quantum numbers, say, k1 , k2 , · · ·, represent different wavefunction Φk1 (r) , Φk2 (r) , · · · which correspond to different states o ...
EM Waves
... Mechanical Waves transfer energy by making particles of matter collide with one another. Ex: Sounds waves, Waves in ocean Mechanical Waves can’t travel in space How do you transfer energy through empty space? Ex - Energy from Sun ...
... Mechanical Waves transfer energy by making particles of matter collide with one another. Ex: Sounds waves, Waves in ocean Mechanical Waves can’t travel in space How do you transfer energy through empty space? Ex - Energy from Sun ...
Problems
... 6. What is the width of an infinite quantum well if the second lowest energy of a free electron confined to the well equals 100 meV? 7. Calculate the three lowest possible energies of an electron in a hydrogen atom in units of electron volt. Identify all possible electron energies between the lowest ...
... 6. What is the width of an infinite quantum well if the second lowest energy of a free electron confined to the well equals 100 meV? 7. Calculate the three lowest possible energies of an electron in a hydrogen atom in units of electron volt. Identify all possible electron energies between the lowest ...
5.11 Harmonic Oscillator
... The solution is not particularly difficult, but is not really worth a day's lecture. Instead, I will quote the results. The equation can be solved only for particular values of , namely =2n+1 where n = 0, 1, 2, 3, ... For those values of , the wave function has the form ...
... The solution is not particularly difficult, but is not really worth a day's lecture. Instead, I will quote the results. The equation can be solved only for particular values of , namely =2n+1 where n = 0, 1, 2, 3, ... For those values of , the wave function has the form ...
Advanced Quantum Physics - Theory of Condensed Matter
... natural to recast it in terms of energy/momentum, E0 e i(p·x−Et)/! . i.e. applied to plane wave, wave equation ∇2 E − c12 ∂t2 E = 0 translates to energy-momentum relation, E 2 = (cp)2 for massless relativistic particle. For a particle with rest mass m0 , require wave equation to yield energy-momentu ...
... natural to recast it in terms of energy/momentum, E0 e i(p·x−Et)/! . i.e. applied to plane wave, wave equation ∇2 E − c12 ∂t2 E = 0 translates to energy-momentum relation, E 2 = (cp)2 for massless relativistic particle. For a particle with rest mass m0 , require wave equation to yield energy-momentu ...
Document
... Classical prediction: The UV catastrophe Based on idea that all oscillations equally probable, more oscillations at lower wavelength Violates common sense and experiment ...
... Classical prediction: The UV catastrophe Based on idea that all oscillations equally probable, more oscillations at lower wavelength Violates common sense and experiment ...
The Synchrotron–A Proposed High Energy Particle Accelerator
... One of the most successful methods for accelerating charged particles to very high energies involves the repeated application of an oscillating electric field, as in the cyclotron. If a very large number of individual accelerations is required, there may be difficulty in keeping the particles in ste ...
... One of the most successful methods for accelerating charged particles to very high energies involves the repeated application of an oscillating electric field, as in the cyclotron. If a very large number of individual accelerations is required, there may be difficulty in keeping the particles in ste ...
Particle in the box
... the edges of the box yields spatial boundary conditions. We seek then solutions of the time-dependent Schrödinger equation: ...
... the edges of the box yields spatial boundary conditions. We seek then solutions of the time-dependent Schrödinger equation: ...
Atomic Structure
... • Quantum Mechanics – deBroglie, Schrodinger, Heisenberg • Electrons not just particles – also act as waves • Find electrons in orbitals – know probable location of electron but not exact at any given time (Heisenberg Uncertainty Principle) • Schrodinger assigned quantum numbers to describe properti ...
... • Quantum Mechanics – deBroglie, Schrodinger, Heisenberg • Electrons not just particles – also act as waves • Find electrons in orbitals – know probable location of electron but not exact at any given time (Heisenberg Uncertainty Principle) • Schrodinger assigned quantum numbers to describe properti ...
Hunting for Snarks in Quantum Mechanics
... in the physics community, especially along the lines laid out by David Bohm.2,3,4 As far as I know, the name of E. T. Jaynes has not heretofore been mentioned as a major protagonist in the great debate, I suppose because he is not widely known outside the MaxEnt community. I include him because of h ...
... in the physics community, especially along the lines laid out by David Bohm.2,3,4 As far as I know, the name of E. T. Jaynes has not heretofore been mentioned as a major protagonist in the great debate, I suppose because he is not widely known outside the MaxEnt community. I include him because of h ...
Quantum Field Theory I
... you are likely to come across this name, and you need to know it. The aim of the quantum field theory is to come up with a formalism which is completely equivalent to multi-body Schrödinger equations but just better: it allows you to consider a variable number of particles all within the same frame ...
... you are likely to come across this name, and you need to know it. The aim of the quantum field theory is to come up with a formalism which is completely equivalent to multi-body Schrödinger equations but just better: it allows you to consider a variable number of particles all within the same frame ...
Lecture 1 – Introduction 1 Classical Mechanics of Discrete Systems
... mechanics. In the case of the simple pendulum, we even managed to incorporate the constraint that the rod be rigid in deriving the equations of motion. Why then look at other formulations of classical mechanics? There are several reasons, that will become more and more apparent as the course unfolds ...
... mechanics. In the case of the simple pendulum, we even managed to incorporate the constraint that the rod be rigid in deriving the equations of motion. Why then look at other formulations of classical mechanics? There are several reasons, that will become more and more apparent as the course unfolds ...