MATH3385/5385. Quantum Mechanics. Handout # 5: Eigenstates of
... transcendental we cannot give explicit algebraic expressions for the solutions for the eigenvalues E. However, as we shall show below, there is a nice countable discrete of solutions of these equations which we can visualise through a graphical proceduere. Then, having obtained numerical values for ...
... transcendental we cannot give explicit algebraic expressions for the solutions for the eigenvalues E. However, as we shall show below, there is a nice countable discrete of solutions of these equations which we can visualise through a graphical proceduere. Then, having obtained numerical values for ...
Lec-22_Strachan
... a measurement of position of a particle is made with precision Δx and a simultaneous measurement of linear momentum is made with precision Δpx, then the product of the two uncertainties can never be smaller than h/4 ...
... a measurement of position of a particle is made with precision Δx and a simultaneous measurement of linear momentum is made with precision Δpx, then the product of the two uncertainties can never be smaller than h/4 ...
Essential Question: What is the current model of the atom? How
... Draw a picture of what we think the atom looks like today: ...
... Draw a picture of what we think the atom looks like today: ...
Lecture 5 Motion of a charged particle in a magnetic field
... Lorentz force What is effect of a static electromagnetic field on a charged particle? Classically, in electric and magnetic field, particles experience a Lorentz force: F = q (E + v × B) q denotes charge (notation: q = −e for electron). Velocity-dependent force qv × B very different from that deriv ...
... Lorentz force What is effect of a static electromagnetic field on a charged particle? Classically, in electric and magnetic field, particles experience a Lorentz force: F = q (E + v × B) q denotes charge (notation: q = −e for electron). Velocity-dependent force qv × B very different from that deriv ...
Components of the Atom
... There are a number of pseudo-derivations of this principle in various texts, based upon the wave property of a particle. We will not give one of these derivations, but will provide examples of the uncertainty principle at various times in the course. Slide 23 ...
... There are a number of pseudo-derivations of this principle in various texts, based upon the wave property of a particle. We will not give one of these derivations, but will provide examples of the uncertainty principle at various times in the course. Slide 23 ...
“Can Quantum-Mechanical Description of Physical Reality Be
... we cannot verify its’ existence • Theories should be economical: Ptolemy vs Copernicus ...
... we cannot verify its’ existence • Theories should be economical: Ptolemy vs Copernicus ...
Lecture 4 1 Unitary Operators and Quantum Gates
... We say that U is unitary if U † = U −1 . For example, rotations and reflections are unitary. Also, the composition of two unitary transformations is also unitary (Proof: U,V unitary, then (UV )† = V †U † = V −1U −1 = ...
... We say that U is unitary if U † = U −1 . For example, rotations and reflections are unitary. Also, the composition of two unitary transformations is also unitary (Proof: U,V unitary, then (UV )† = V †U † = V −1U −1 = ...
What is a photon, really - Philsci-Archive
... As is well known from the uncertainty principle, we can trade off certainty in one of these measurements to obtain greater certainty of the other. So, for example, we can make an exact measurement of phase at the expense of maximizing the uncertainty in N. On the other hand, if we make a definite m ...
... As is well known from the uncertainty principle, we can trade off certainty in one of these measurements to obtain greater certainty of the other. So, for example, we can make an exact measurement of phase at the expense of maximizing the uncertainty in N. On the other hand, if we make a definite m ...
A quantum mechanical model for the rate of return
... Abstract. In their activity, the traders approximate the rate of return by integer multiples of a minimal one. Therefore, it can be regarded as a quantized variable. On the other hand, there is the impossibility of observing the rate of return and its instantaneous forward time derivative, even if w ...
... Abstract. In their activity, the traders approximate the rate of return by integer multiples of a minimal one. Therefore, it can be regarded as a quantized variable. On the other hand, there is the impossibility of observing the rate of return and its instantaneous forward time derivative, even if w ...
Problem-set-6
... Values of the energies are as often in Spectroscopy given in units of cm-1. The ionisation energy (or the ionisation potentiaal IP) of Na is 41449.65 cm-1. Note that the energy scale is different now: the ground state is at E=0 and the ionization energy has a positive value. Treat Sodium (Natrium) ...
... Values of the energies are as often in Spectroscopy given in units of cm-1. The ionisation energy (or the ionisation potentiaal IP) of Na is 41449.65 cm-1. Note that the energy scale is different now: the ground state is at E=0 and the ionization energy has a positive value. Treat Sodium (Natrium) ...
Exam 2-1
... One of the major factors in determining the energy of an electron is its electrostatic attraction to the positive nucleus. Shielding refers to the: a) b) c) d) e) ...
... One of the major factors in determining the energy of an electron is its electrostatic attraction to the positive nucleus. Shielding refers to the: a) b) c) d) e) ...
Announcements
... 1920’s was one of the founders of quantum mechanics l Most of these revolutionaries were in their early 20’s l Quantum mechanics was known as “boy physics” l Perhaps most famous for his uncertainty principle which related the precision with which you could measure complementary variables, like ...
... 1920’s was one of the founders of quantum mechanics l Most of these revolutionaries were in their early 20’s l Quantum mechanics was known as “boy physics” l Perhaps most famous for his uncertainty principle which related the precision with which you could measure complementary variables, like ...
Problem set 7
... ψ = u + v and ψ = u + iv in (1) and add the two resulting equations. Show that this reduces to Auv = (Avu )∗ . Thus the reality of expectation values in all states implies that A is hermitian in the conventional sense. The converse is much simpler. 5. Consider a particle in a (real) potential V(x). ...
... ψ = u + v and ψ = u + iv in (1) and add the two resulting equations. Show that this reduces to Auv = (Avu )∗ . Thus the reality of expectation values in all states implies that A is hermitian in the conventional sense. The converse is much simpler. 5. Consider a particle in a (real) potential V(x). ...
Chapter 7 - Quantum Numbers, Orbitals, and Electron
... For the H atom the orbital energy depends only on n, so all orbitals with the same value of n have the same energy. This is not true, however, for any other atom! The H atom orbitals may be used to approximate the orbitals for multi-electron atoms. But since these atoms have more than one electron, ...
... For the H atom the orbital energy depends only on n, so all orbitals with the same value of n have the same energy. This is not true, however, for any other atom! The H atom orbitals may be used to approximate the orbitals for multi-electron atoms. But since these atoms have more than one electron, ...