Erwin Schrödinger

Developed the Schrödinger Equation, a Fundamental Equation in Quantum Mechanics

Abstract

Erwin Schrödinger (1887–1961) was a Nobel Prize-winning Austrian physicist who developed fundamental results in quantum theory, forming the basis of wave mechanics. His introduction of the wave equation revolutionized our understanding of atomic and subatomic systems.

Early Life and Education

Erwin Schrödinger was born in Vienna in 1887. He received private education at home until the age of 11, then attended the Akademisches Gymnasium, where he excelled in physics, mathematics, and languages. He entered the University of Vienna in 1906, earning a Ph.D. in physics in 1910 under the influence of physicist Fritz Hasenöhrl.

Contributions

Schrödinger Wave Equation

He formulated the wave equation (stationary and time-dependent Schrödinger equation) and revealed the equivalence of his formalism with matrix mechanics. Created in the first half of 1926, the wave equation arose from his dissatisfaction with the quantum condition in Bohr's orbit theory and his belief that atomic spectra should be determined by an eigenvalue problem.

In quantum mechanics, the Schrödinger equation is a partial differential equation describing how the quantum state of a physical system changes with time, governing the motion of particles in non-relativistic quantum mechanics.

Schrödinger Model (Cloud Model)

Schrödinger took the Bohr model a step further by using mathematical equations to describe the probability of finding an electron in a given position, establishing the quantum mechanical model of the atom. Rather than precise orbits, the model describes likelihoods, best visualized as an electron cloud representing the probable distribution of the electron over time.

Perturbation Theory

Perturbation theory comprises mathematical methods for finding approximate solutions by starting from the exact solution of a simpler, related problem through the addition of a small interaction term. Schrödinger applied these techniques to analyze atomic and molecular interactions, such as the Stark effect under uniform external fields.

"Once a problem is removed by feeble excuse, there is no need to ponder over it."

Awards and Honors

Haitinger Prize (1920)
Matteucci Medal (1927)
Nobel Prize in Physics (1933)
Max Planck Medal (1937)
Foreign Member of the Royal Society (ForMemRS, 1949)
Erwin Schrödinger Prize (1956)