A position state or momentum eigenstate is just a ONE DIMENSIONAL (or 3 d) PROJECTION of the INFINITE state vector in Hilbert Space.

No one representation carries any more ‘physical meaning’ than another. Same reality – regardless of the representation.

There are no pure states, only density matrices

What is the Hamiltonian of the System?

What are the eigenstates (stationary solutions) for the Hamiltonian above?

What is the TIME DEPENDENCE of the states?

What are PRODUCT States?

What are Product OPERATORS?

What are INNER products and OUTER Products?

Inner product – amount of OVERLAP between two states

What does an outer product of a POSITION vector and a MOMENTUM vector look like?

What doe the time EVOLUTION of an OUTER PRODUCT (Operator) look like?

Anuj holds professional certifications in Google Cloud, AWS as well as certifications in Docker and App Performance Tools such as New Relic. He specializes in Cloud Security, Data Encryption and Container Technologies.

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Anuj Varma – who has written posts on Anuj Varma, Hands-On Technology Architect, Clean Air Activist.