By Bernd Thaller

Advanced visible Quantum Mechanics is a scientific attempt to enquire and to educate quantum mechanics because of computer-generated animations. it's a self-contained textbook that mixes chosen themes from atomic physics (spherical symmetry, the hydrogen atom, and debris with spin) with an creation to quantum details conception (qubits, EPR paradox, teleportation, quantum computers). It explores relativistic quantum mechanics and the unusual habit of Dirac equation suggestions. a sequence of appendices covers vital issues from perturbation and scattering idea. The publication areas an emphasis on rules and ideas, with a good to average quantity of mathematical rigor.

Though this booklet stands on my own, it may even be paired with Thaller visible Quantum Mechanics to shape a entire direction in quantum mechanics. The software program for the 1st e-book earned the eu educational software program Award 2000 for extraordinary innovation in its box.

**Read Online or Download Advanced Visual Quantum Mechanics PDF**

**Best quantum theory books**

**Introduction to the theory of quantized fields**

During this variation we have now rewritten the chapters that debate the tools of constant integration and the renormalization staff, that are themes in thought that experience turn into vitally important lately. now we have additionally transformed and supplemented the sections at the entire eco-friendly capabilities.

**Quantum inverse scattering method and correlation functions**

The quantum inverse scattering approach is a method of discovering certain strategies of two-dimensional versions in quantum box idea and statistical physics (such because the sine-Gordon equation or the quantum nonlinear Schrödinger equation). This creation to this significant and intriguing sector first bargains with the Bethe ansatz and calculation of actual amounts.

**A First Course in Group Theory**

One of many problems in an introductory e-book is to speak a feeling of goal. merely too simply to the newbie does the booklet turn into a chain of definitions, ideas, and effects which appear little greater than curiousities major nowhere specifically. during this ebook i've got attempted to beat this challenge by means of making my relevant goal the decision of all attainable teams of orders 1 to fifteen, including a few learn in their constitution.

**Factorization Method in Quantum Mechanics**

This e-book introduces the factorization technique in quantum mechanics at a complicated point, with the purpose of placing mathematical and actual innovations and strategies just like the factorization technique, Lie algebras, matrix components and quantum keep watch over on the reader’s disposal. For this goal, the textual content offers a complete description of the factorization procedure and its vast functions in quantum mechanics which enhances the normal insurance present in quantum mechanics textbooks.

- Analysis on Fock Spaces, 1st Edition
- Quantum Invariants of Knots and 3-Manifolds (de Gruyter Studies in Mathematics)
- Lecture Notes on C*-algebras, Edition: version 28 Jul 2016
- Quantum Mechanics Primer

**Extra resources for Advanced Visual Quantum Mechanics**

**Example text**

4. 175) ψ(x) = f (r) Y m (ϑ, ϕ), r where (r, ϑ, ϕ) are the spherical coordinates of the point x ∈ R3 . Obviously, ψ is an eigenfunction of the angular-momentum operators L2 and L3 . We ˆ want to ﬁnd the Fourier transform ψ(k). 174)), e −ik·x 4π = kr ∞ (−i) jˆ (kr) Y m (ϑ , ϕ ) Y m (ϑ, ϕ). 178) =0 m =− Using the orthonormality of the spherical harmonics, Eq. 109), we can perform the integration over the angles ϑ and ϕ. This removes the sum and m , because only the term with = and m = m gives a over contribution.

128) ,m with c ,m = S2 Y m (ϑ, ϕ) ψ0 (ϑ, ϕ) dΩ. 129) The time evolution of the wave function is periodic in time, ψ(t + T, ϑ, ϕ) = ψ(t, ϑ, ϕ) with period T = 2π. 12 is a collection of several movies showing various time-dependent states of the rigid rotator. 13 visualizes the time evolution of initially well-localized (Gaussian) states. 14, the initial state has roughly the shape of the letter Ψ. This illustrates that we can indeed compute the time evolution of any square-integrable initial function on the sphere.

112) For example, 1 Y00 = √ , 4π Y10 = 3 z , 4π r Y1±1 = ∓ 3 x ± iy . 7. 1. Classical particle on a sphere Here, we consider a quantum mechanical system that is only able to perform a rotational motion. Imagine a particle with mass4 m whose motion is restricted to the surface of a sphere. There are no other forces. This particle has two degrees of freedom, its position on the sphere is given by two angular coordinates, the longitude and the latitude, described by the angles ϑ and ϕ. A classical particle subject to these constraints will move along the geodesics of the sphere (great circles) with constant (angular) velocity.