Hybridisation and Variation theory [Quantum Mechanics]

AI Thread Summary
Methods for approximating solutions to the Schrödinger equation in complex systems include variation theory, hybridization, and perturbation theory. Variation theory modifies wave equations of fundamental systems to minimize energy eigenvalues by adjusting linear coefficients. Hybridization involves combining atomic or molecular states, though specific details on its application in quantum mechanics are less clear. The discussion highlights a lack of accessible resources on these topics, particularly hybridization. Understanding these methods is crucial for tackling complex quantum systems effectively.
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Homework Statement



Give examples of methods used to find approx. answers to the Schrödinger's eqn. of systems too complex to be solved analytically.

Homework Equations



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The Attempt at a Solution



I understand there are three methods commonly used, those mentioned in the title and a 3rd, perturbation theory (of which i can explain) however variation and hybridisation have me at a loss. I've tried many internet sources and my local physics library has no books available.

From what i understand Variation Theory envolves modifying the wave equations of fundamental systems used to describe a system (fundamental systems being things like the rigid rotor, harmonic oscillator, hydrogen-like atom etc.)

Hybridisation however i have less knowledge of, from the name i imagine its something to do with combining states of atoms/molecules.
 
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Actually i just found something on Variation theory, it's used to minimize the energy eigenvalue by varying the linear coefficients.

Just hybridisation i can't find information on now :(
 
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