Round 5: Tossup 3

This quantity’s operator appears in the exponential form of the time evolution operator. In (15[1])the QHO, (15[1])the eigenstates representing this quantity are separated by a factor of h-bar (15[1])omega. This quantity’s (-5[1])operator contains two terms: (-5[1])h-bar squared over two-m times a second derivative, and V-of-x. (-5[1])In quantum mechanics, this quantity’s operator is represented by the (*) Hamiltonian; thus, (10[1])H acting on psi (10[1])equals this quantity times psi in the time-independent Schrodinger equation. The lowest value of this quantity in quantum mechanical systems is the ground (10[1])state. For 10 points, name this physical quantity, the sum of its kinetic and potential components. ■END■ (10[2])

ANSWER: total energy [accept Hamiltonian until read; reject specific forms of energy like “kinetic energy” or “potential energy”]
<Science - Physics, Rohan Ganeshan> | VAULT II Packet 05
= Average correct buzzpoint

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