# The Symmetrical Top in the Undulatory Mechanics

@article{Kronig1926TheST, title={The Symmetrical Top in the Undulatory Mechanics}, author={Ralph de Laer Kronig and Isidor I. Rabi}, journal={Nature}, year={1926}, volume={118}, pages={805-805} }

BY applying the methods of Schrödinger (Ann. d. Phys., 79, 361, 489, 734, 1926), which have proved so fruitful in treating atomic problems, to the case of the symmetrical top, we have obtained a complete quantum mechanical solution for this system. The results agree with those found by Dennison (Phys. Rev., 28, 318, 1926) by means of the matrix mechanics; the energy values are Ax = Ay and Az being the moments of inertia of the top.

## 43 Citations

### The Zeeman Effect of the Symmetrical Top According to Wave Mechanics

- Physics
- 1927

The alteration of the quantum-theoretical energy levels of a symmetrical top due to the action of a magnetic field on a charge which is fixed to the top, is investigated by means of the perturbation…

### Erwin Schrödinger and the rise of wave mechanics. III. Early response and applications

- Physics
- 1988

This article (Part III) deals with the early applications of wave mechanics to atomic problems—including the demonstration of the formal mathematical equivalence of wave mechanics with the quantum…

### The Rotation of Molecules in Crystals

- Physics
- 1935

The problem of the rotation of molecules in crystals has been generalized to embrace also polyatomic configurations. Two models, of which the homo‐ and heteropolar diatomic molecules are special…

### Quantum Magnetic Top

- Physics
- 1994

The classical magnetic top is quantized by applying Schrodinger’s method of quantization in non-Euclidean coordinate system. As different from a free top (for which one usually imposes the condition…

### REVIEWS OF TOPICAL PROBLEMS: From the origin of quantum concepts to the establishment of quantum mechanics

- Physics
- 1977

The article deals with the origins and development, in the first quarter of the 20th century, of the fundamental ideas advanced by Planck and Einstein and by Bohr and de Broglie concerning the…

### A gauge theoretic treatment of rovibrational motion in diatoms

- Physics
- 2012

The Born-Oppenheimer approximation has long been the standard approach to solving the Schrodinger equation for diatomic molecules. In it nuclear and electronic motions are separated into “slow” and…

### An improved eigenvalue corrector formula for solving the Schrödinger equation for central fields

- Physics
- 1961

1. Introduction. The wave equation for the nuclear motion of a diatomic molecule, in the Born-Oppenheimer approximation, is one which is encountered frequently in quantum-theoretical calculations.…

### The Electron and Atomic Structure

- Physics
- 2012

In the nineteenth century, chemists and physicists had a completely different image of electricity. The chemists, in contact with a discontinuous and discrete world made of atoms and molecules that…