Moore's account of Erwin Schrödinger's life isn't a bad read at all. For those unacquainted with the mathematical rigor of quantum mechanics, it is a little difficult to follow. The flow is somewhat choppy, and the mix of equations and technical descriptions might sidetrack the lay-reader. More emphasis could have been placed on simplification, but realistically, QM is a difficult concept to grasp even without the math.
For those who are curious to know what Schrödinger's work is all about, I wrote a brief explanation of the Schrödinger equation, and, with my limited knowledge in this area, attempted to describe some of its applications to the world (one might recall a certain experiment where a cat is placed in a 'quantum' box rigged with hydrocyanic acid - A purely hypothetical one of course.)
When it comes to sucessful theories which explain the behaviour of microscopic particles, quantum mechanics stands alone. It was developed in the 1920s by Erwin Schrödinger, Werner Heisenberg, Wolfgang Pauli, Paul Dirac, and many others. The practical implication of this theory is that it allows us to understand a host of phenomena involving atoms, molecules, nuclei, and solids. Technologies directly resulting from the development of quantum mechanics include scanning tunnelling microscopes, nanoscale machines, and quantum computers.
In 1926, Schrödinger developed the appropriate wave equation for particles. When mathematically explaining a quantum system, one must take the solution related to the behaviour of this system and apply certain boundary conditions to it. This tells us the allowed 'wavefunctions' and energy levels of the system. Reworking a wavefunction provides one with all the measurable characteristics of that system.
{For those familiar with the work of James Clerk Maxwell, recall that electromagnetic radiation is described by a wave equation (electromagnetic waves). Since particles such as atoms and molecules can also be expressed in terms of waves (wave-particle duality), the waves associated with particles also satisfy a wave equation.}
The Schrödinger equation provides the most complete description that can be given to a physical system. Its wavefunction (or state vector) describes possible points in space which are mapped by complex numbers called probability amplitudes. In a nutshell, these amplitudes are the values of wavefunctions. By squaring the absolute value of these complex numbers (looks like |ψ(x)|^2 ), one can determine the probability density (or probability distribution) of momentary states of particles, telling us where things are and how they are interacting. Schrödinger's wavefunctions can also be transformed into Heisenberg’s matrix mechanics.
The actual equation (or a 1-dimensional, time-independent variation of it), given a particle of mass m confined to moving along the x-axis and interacting with its environment through a potential energy function U(x), is something of the form
-(hbar^2/2m)[(d^2ψ)/dx^2:] + Uψ = Eψ
(where hbar^2 = Plank's constant squared)
Generally, time-dependent Schrödinger equations describe systems evolving with time, whereas time-independent ones are of a stationary state. These equations can take on several different forms, depending on the physical situation. Also, the equation doesn't break the principle of conservation of mechanical energy of a system. In fact, the first term in the above-mentioned Schrödinger equation reduces to the kinetic energy of the particle multiplied by the wave function, indicating that the total energy of a system is K + U = E = constant. Where total energy (E) is the sum of the kinetic energy (K) and the potential energy (U) - and the total energy is constant.
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Erwin Schrödinger had unconventional relationships with women. His American colleagues at Princeton were not impressed when the Austrian tried to secure a professorship with them, simply because he had 2 wives.
Schrödinger was an only child, and his mom was a chemistry professor. He died of tuberculosis in 1961. Upon realizing how fundamentally unintuitive quantum mechanics is, he is said to have proclaimed 'Verdammte Quantumspringerei!' (This damn quantum jumping!)