Some clever physicists say that everything is an harmonic oscillator, and that every hard problem is just solvable in terms of a suitable set of harmonic oscillators (even true with string theory!): In classical mechanics (CM) you have a the … Continue reading

# Tag Archives: harmonic oscillator

Hi, everyone! Long time since the last time I wrote here. I am sorry. Life is complex and complicated…But I know you are there, dear followers. Today, Kepler motion and Kepler third law with extra dimensions! Are you prepared? Let … Continue reading

The Bohr model of the hydrogen atom is a cool and nice “toy model”. It serves as a prototype in many applications, even if it is not fully “quantum”. It does provide many applications. In this post, and the followings, … Continue reading

Round 3! Fight… with path integrals! XD Introduction: generic aspects Consider a particle moving in one dimension (the extension to ND is trivial), the hamiltonian being of the usual form: The fundamental question and problem in the path integral (PI) … Continue reading

This post begins a thread about Quantum Field Theory (QFT) in curved spacetime (ST). They are based on some of my notes about the subject. Enjoy it! I. LIMITS FROM QUANTUM MECHANICS AND GENERAL RELATIVITY. The Einstein-Hilbert action in General … Continue reading

TABLE OF CONTENTS DEDICATORY 1. THE RIEMANN ZETA FUNCTION ζ(s) 2. THE RIEMANN HYPOTHESIS 3. THE HILBERT-POLYA CONJECTURE 4. RANDOM MATRIX THEORY 5. QUANTUM CHAOS AND RIEMANN DYNAMICS 6. THE SPECTRUM OF RIEMANNIUM 7. ζ(s) AND RENORMALIZATION 8. ζ(s) AND … Continue reading